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Minimum thrust and minimum thickness of spherical masonry domes: A semi-analytical approach Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2021-01-17 N.A. Nodargi; P. Bisegna
A semi-analytical approach is proposed for addressing the minimum thrust and minimum thickness analysis of spherical masonry domes under their self-weight. The classical differential equilibrium equations of axially symmetric shells are resorted to, calling for the exact computation of self-weight and center of mass of an infinitesimal dome voussoir. The minimum thrust analysis is accomplished by determining
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Nonlinear finite element analysis within strain gradient elasticity: Reissner-mindlin plate theory versus three-dimensional theory Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2021-01-19 Jalal Torabi; Jarkko Niiranen; Reza Ansari
Nonlinear plate bending within Mindlin's strain gradient elasticity theory (SGT) is investigated by employing somewhat non-standard finite element methods. The main goal is to compare the bending results provided by the geometrically nonlinear three-dimensional (3D) theory and the geometrically nonlinear Reissner–Mindlin plate theory, i.e., the first-order shear deformation plate theory (FSDT), within
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Responses of multilayered two-dimensional decagonal quasicrystal circular nanoplates with initial stresses and nanoscale interactions Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2021-01-19 Yunzhi Huang; Jian Chen; Min Zhao; Miaolin Feng
Mechanical behaviors in multilayered two-dimensional decagonal quasicrystal (QC) circular nanoplates with initial stresses and nanoscale interactions including electrostatic and Casimir forces are investigated using the state space approach. A uniform static initial biasing field with the initial stresses and related electric displacement for the piezoelectric phase is considered in this research.
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Determination of non-axisymmetric stresses in the bodies of revolution based on regulized intergral equations Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2021-01-19 Olesya Maksymovych; Tetyana Solyar
A solution to the 3D elasticity theory problem in the form of a Fourier series expansion by an angular coordinate, the coefficients of which are determined from the system of one-dimensional integral equations, is constructed. The relation for determining the kernels of these equations for harmonics of arbitrary order is written in analytical form. The regularization of the obtained equations is carried
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Prediction of net-tension failure of multi-bolt composite joints: A fast approach for laminates with arbitrary layup Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2021-01-18 Xiaona Peng; Xiang Li; Guochun Liu; Jian Zhao
In this study, a new fast approach to predict the net-tension failure strength of multi-bolt composite joints was developed based on finite fracture mechanics and p-version parametric finite element methods. In the proposed approach, stress distribution and stress intensity factor are obtained using the principle of superposition, based on which the problem can be divided into open hole tension and
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A circular Eshelby inclusion with linear eigenstrains interacting with a coated non-parabolic inhomogeneity with internal uniform anti-plane stresses Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2021-01-18 Xu Wang; Ping Yang; Peter Schiavone
We establish criteria which guarantee the uniformity of stresses inside a coated non-parabolic open inhomogeneity located in the vicinity of a circular Eshelby inclusion undergoing linear anti-plane eigenstrains when the surrounding matrix is subjected to uniform remote anti-plane stresses. The associated inverse problem in anti-plane elasticity which identifies the required geometry of the constituents
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Vibration analysis and distributed piezoelectric energy harvester design for the L-shaped beam Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2021-01-14 Yuteng Cao; Dengqing Cao; Guiqin He; Xinsheng Ge; Yuxin Hao
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Compressive properties of cuttlebone-like lattice (CLL) materials with functionally graded density Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2021-01-15 Chengxing Yang; Q.M. Li; Yu Wang
Complex and small-scale architectures, e.g., topology-optimised materials and functionally graded lattice materials (FGLMs), can be well fabricated with the assistance of additive manufacturing (AM). This work investigates the compressive properties of a functionally graded cuttlebone-like lattice (CLL) material. Experimental compression tests are performed on both uniform and graded lattice materials
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Predicting ductile fracture of cracked pipes using small punch test data Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2021-01-10 Jong-Min Lee; Jin-Ha Hwang; Yun-Jae Kim; Jin-Weon Kim
This paper proposes a numerical method to simulate ductile fracture of a cracked pipe using small punch test data. The method is using FE damage analysis method based on the multi-axial fracture strain energy density model. The parameters in the damage model can be extracted solely from small punch test data, using which compact tension and circumferential through-wall cracked pipe tests are simulated
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A new type of improved four-node DKT thin-shell element and the improvement research on the fast algorithm for bus rollover collision Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-20 Tong Wang
To solve the problem of seriously element wrap during the finite element analysis process of bus rollover collision, the wrap modification improvement of a new type of four-node DKT (Discreted Kirchhoff Theory) thin-shell element is carried out. The new type of improved four-node DKT thin-shell element is applied to the one-step algorithm for bus rollover collision, and the rollover collision simulation
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Explicit harmonic structure of bidimensional linear strain-gradient elasticity Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-24 N. Auffray; H. Abdoul-Anziz; B. Desmorat
In the perspective of homogenization theory, strain-gradient elasticity is a strategy to describe the overall behavior of materials with coarse mesostructure. In this approach, the effect of the mesostructure is described by the use of three elasticity tensors whose orders vary from 4 to 6. Higher-order constitutive tensors make it possible to describe rich physical phenomena. However, these objects
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Optimized gauging for tire–rim loading identification Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-18 K. Cosseron; D. Mellé; J.-F. Diebold; F. Hild; S. Roux
The determination of the tire–rim interface loadings is a difficult but key task for the aircraft wheel designer to predict the wheel service life. In conjunction with an optimal parameterization of these loadings previously defined by the authors, the optimal sensor placement problem is considered to identify the loading parameters at best. An optimization procedure of the wheel instrumentation, which
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A size-dependent elastic theory for magneto-electro-elastic materials Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-24 Xiao-Jian Xu; Jun-Miao Meng
A size-dependent elastic theory for magneto-electro-elastic (MEE) nano-materials is proposed. The theory features not only the inclusion of the classical parameters such as piezoelectric and piezomagnetic constants, the magneto-electro, dielectric and magnetic permeability coefficients, but also the nonlocal and strain gradient parameters and their induced high-order MEE parameters. The governing equations
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Constitutively optimal governing equations for higher-grade elastic beams Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-23 F. Amiot
A method is proposed herein to build beam equations for materials featuring higher-grade elasticity. As it is based on the minimization of the constitutive equation gap, static admissibility conditions are taken into account so that it naturally converges to the usual beam equations resulting from Cauchy elasticity when the beam dimensions are large enough. The method is exemplified, for Euler–Bernoulli
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Nonlocal layerwise formulation for bending of multilayered/functionally graded nanobeams featuring weak bonding Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2021-01-05 Hossein Darban; Andrea Caporale; Raimondo Luciano
The size-dependent bending of perfectly/imperfectly bonded multilayered/stepwise functionally graded nanobeams, e.g. multiwalled carbon nanotubes with weak van der Waals forces, with any arbitrary numbers of layers, exhibiting different material, geometrical, and length-scale properties, is studied through a layerwise formulation of the stress-driven nonlocal theory of elasticity and the Bernoulli-Euler
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Nonlocal thermoelasticity and its application in thermoelastic problem with temperature-dependent thermal conductivity Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2021-01-05 Pengfei Luo; Xiaoya Li; Xiaogeng Tian
Thermoelastic analysis at nanoscale is becoming important due to the miniaturization of the device and wide application of ultrashort lasers, and the classical thermoelastic theory is no longer applicable under extreme environments, i.e. extremely high temperature gradient or heat flux, extremely short action time, and extremely small structure size. The nonlocal thermoelastic model is developed to
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A micro/nano-scale Timoshenko-Ehrenfest beam model for bending, buckling and vibration analyses based on doublet mechanics theory Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-24 Ufuk Gul; Metin Aydogdu
A micro-nano-scale Timoshenko-Ehrenfest beam model is investigated using doublet mechanics theory in the present study. The governing equations and all possible boundary conditions are obtained based on doublet mechanics model. The static bending, buckling and vibration problems of Timoshenko microbeams are examined in detail. Deflection, rotation, critical buckling loads and natural frequencies predicted
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A new structure study: Vibrational analyses of FGM convex-concave shells subjected to electro-thermal-mechanical loads surrounded by Pasternak foundation Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-11-06 Dinh Gia Ninh; Vu Ngoc Viet Hoang; Vu Le Huy
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Analytical description of fracture features in single crystal silicon Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2021-01-02 M.A. Lingyue; Anthony Moulins; Roberto Dugnani
This manuscript presents an analytical model to predict the formation of characteristic fractographic features appearing on the fracture surfaces of single crystal silicon's {100}- and {110}-planes. The first part of the model deals with the formation of the mirror-hackle boundary, and it was developed based on established, elastodynamic theories and the material's mechanical properties. The second
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A solid-shell finite element method for the anisotropic swelling of hydrogels with reinforced fibers Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-29 Jianhua Wang; Yisong Qiu; Hongwu Zhang; Yonggang Zheng; Hongfei Ye
In this paper, a solid-shell finite element method for the inhomogeneous swelling of anisotropic thin-walled hydrogels with reinforced fibers is developed. In this numerical framework, the anisotropic mechanical deformation of fiber-reinforced hydrogels is driven by solvent diffusion. The solid-shell model including only displacement degree of freedom is developed for anisotropic hydrogels. The model
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Thermal vibration and nonlinear buckling of micro-plates under partial excitation Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-05 Arash Kazemi; Ramin Vatankhah
In this study, a finite element formulation is proposed to study bending, thermal vibration, and buckling behavior of a modified couple stress-based micro-plate under partial piezoelectric excitation. To this end, the micro-plate is modeled using the classical plate theory (CPT) in conjunction with von Kármán nonlinear strains. The modified couple stress theory is employed to take into account the
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Residual stress effects on crack-tip stress singularity in XFEM fracture analysis Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-26 S. Hamed Ebrahimi
Crack domain may be affected by a thermodynamic process such as forming, welding on structural steel, during which significant residual stresses of the same order of the yield strength of the structural steel are remained. In these cases, the post-yield stiffness characteristics of the material, similar to a stress state dependent functionally graded material (FGM), characterizes the order of stress
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Two-node method for the effective elastic modulus of periodic cellular truss materials and experiment verification via stereolithography Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-25 Shuheng Wang; Yongbin Ma; Zichen Deng
A two-node method is proposed in this paper based on the traditional representative volume element (RVE) method to predict the effective elastic modulus of periodic cellular truss materials. Through this method, the original unit cell with more than two nodes on the connecting boundary is converted to a new unit cell with only two nodes on the boundary, and the effective elastic modulus is indirectly
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Free and forced vibrations of damped locally-resonant sandwich beams Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-13 Andrea Francesco Russillo; Giuseppe Failla; Fernando Fraternali
This paper addresses the dynamics of locally-resonant sandwich beams, where multi-degree-of-freedom viscously-damped resonators are periodically distributed within the core matrix. On adopting an established model in the literature, which consists of an equivalent single-layer Timoshenko beam coupled with mass-spring-dashpot subsystems representing the resonators, novel and exact analytical expressions
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Study of three-dimensional Euler-Bernoulli beam structures using element-based peridynamic model Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-09 Shuo Liu; Guodong Fang; Jun Liang; Maoqing Fu; Bing Wang; Xiangqiao Yan
An element-based peridynamic (EBPD) model is developed to represent the Euler-Bernoulli beam. The force density is described by the two-node beam elements with three displacement and three rotation freedom degrees. The dynamic and static problems of the EBPD beam model are derived from Lagrangian formalism and variation principle, respectively. The Newmark and Gauss elimination methods are used to
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Numerical evaluation of strain gradients in classical elasticity through the Boundary Element Method Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-05 Dimitrios C. Rodopoulos; Theodore V. Gortsas; Stephanos V. Tsinopoulos; Demosthenes Polyzos
Strain gradient fields seem to play an important role on the functionality of flexoelectric and functionally graded materials, bones, biomembranes, new sensing equipment and micro, nano and thin structures. A numerical method for evaluating strains and stresses with high accuracy is the Boundary Element Method (BEM). Despite to many BEM papers appearing so far in the literature, there is not a BEM
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An adaptive scaled boundary finite element method for contact analysis Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-05 Hirshikesh; A.L.N. Pramod; Ean Tat Ooi; Chongmin Song; Sundararajan Natarajan
In this work, we propose a framework for an adaptive contact analysis in deformable solids using the effective error indicator from the scaled boundary finite element method (SBFEM) with a quadtree decomposition. Further, the SBFEM is implemented with the commercial finite element software, Abaqus, to perform the contact analysis by employing the user element subroutine (UEL) feature. The SBFEM error
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Effect of T-stress on the fracture in an infinite one-dimensional hexagonal piezoelectric quasicrystal with a Griffith crack Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-13 Yan-Bin Zhou; Guan-ting Liu; Lian-he Li
T-stress as an important parameter characterizing the stress field around a cracked tip has attracted much attention. In this paper, the T-stress of a Griffith crack in a one-dimensional (1D) hexagonal piezoelectric quasicrystal (PQC) is studied. By applying the Fourier transform, the stress component parallel to the crack plane can be clearly determined, and then a closed-form solution of the elastic
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A new displacement model for nonlinear vibration analysis of fluid-conveying anisotropic laminated tubular beams resting on elastic foundation Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-05 Zhi-Min Li; Tao Liu
A new displacement model for nonlinear vibration analysis of fluid-conveying anisotropic laminated tubular beams resting on a Pasternak-type foundation is presented. Based on Hamilton's principle, the motion equations and boundary conditions are obtained by using a new high-order shear deformation tubular beam model with a von Kármán-type of kinematic nonlinearity, in which warping, shear deformation
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Investigation of thermal preloading and porosity effects on the nonlocal nonlinear instability of FG nanobeams with geometrical imperfection Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-12-02 E. Salari; S.A. Sadough Vanini
The aim of the present research is twofold. The first is to present a study on nonlinear thermo-mechanical bending and thermal postbuckling analysis of functionally graded (FG) porous perfect/imperfect nanobeam according to the nonlocal elasticity theory. The second, concurrent aim is to address the snap-through phenomenon in the thermally preloaded graded porous nanobeams due to lateral mechanical
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Numerical evaluation of the representative volume element for random composites Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-11-29 A. El Moumen; T. Kanit; A. Imad
The Representative Volume Element (RVE) plays a central role in the homogenization of random heterogeneous microstructures, especially for composite and porous materials, with a view to predicting their effective properties. A quantitative evaluation of its size is proposed in this work in linear elasticity and linear thermal conductivity of random heterogeneous materials. A RVE can be associated with
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Thermo-mechanical interaction on transient heating of skin tissue with variable thermal material properties Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-11-21 Y.Z. Wang; M.J. Li; D. Liu
Comprehension of the heat transfer process and associated thermo-mechanical interaction with skin tissue is the key issue on successful application of thermal treatment techniques. The purpose of this paper is to explore thermo-mechanical behavior taking place the instantaneously heated skin tissue via an analytical approach. The generalized thermo-elastic model involving dual-phase-lag model of bioheat
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Thermoelastic waves in double porosity materials Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-11-26 Stan Chiriţă; Andreea Arusoaie
The focus of this paper is on the propagation of thermoelastic waves with assigned wavelength within the context of theory of thermoelasticity for materials with double porosity. It is shown that there exist two shear waves that are undamped in time, non-dispersive and that are unaltered by the presence of pore system or by thermal effects. Furthermore, there also exist other four longitudinal wave
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On the study of cyclic plasticity behaviour of primary electrode particle for lithium-ion battery Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-11-21 Xuanchen Zhu; Haofeng Chen; Weiling Luan
The mechanical failure of battery electrode, caused by the cyclic diffusion-induced stress, is generally thought to be a direct reason leading to the loss of capacity and deterioration of performance for Li-ion battery. In the present work, the cyclic plasticity behaviour of primary electrode particle under electrochemical-mechanical condition is evaluated by using the Linear Matching Method (LMM)
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Construction of peridynamic beam and shell models on the basis of the micro-beam bond obtained via interpolation method Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-11-13 Guozhe Shen; Yang Xia; Ping Hu; Guojun Zheng
Peridynamic (PD) theory is suitable for predicting structural damages, such as crack propagation and multiple crack growths. However, it is computationally more expensive than finite element method (FEM). Structural idealization is an useful method to improve computational efficiency, especially for complex structures. This study presents a new strategy for general PD beam and shell models on the basis
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Fracture toughness characteristics of additively manufactured Ti–6Al–4V lattices Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-11-04 Stephen Daynes; Joseph Lifton; Wen Feng Lu; Jun Wei; Stefanie Feih
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Mode II fracture of an MMA adhesive layer: Theory versus experiment Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-08 Sina Askarinejad; Emilio Martínez-Pañeda; I. Ivan Cuesta; Norman Fleck
Thick adhesive layers have potential structural application in ship construction for the joining of a composite superstructure to a steel hull. The purpose of this study is to develop a mechanics model for the adhesive fracture of such lap joints under shear loading. Modified Thick-Adherend-Shear-Test (TAST) specimens made from a MMA-based adhesive and steel adherents are designed and fabricated. Crack
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Isogeometric analysis for size-dependent nonlinear free vibration of graphene platelet reinforced laminated annular sector microplates Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-11-07 Chang Tao; Ting Dai
The proposed work fills a gap of study on size-dependent large amplitude free vibration of functionally graded graphene platelets-reinforced composite (FG-GPLRC) annular sector microplates. Based on a four-variable higher-order shear deformation plate theory, the von Kármán large deflection assumption and the modified couple stress theory (MCST), the governing equations for the discrete nonlinear free
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An efficient stochastic natural frequency analysis method for axially varying functionally graded material pipe conveying fluid Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-27 Qing Guo; Yongshou Liu; Bingqian Chen; Yuzhen Zhao
This study proposes an effective approach for stochastic natural frequency analysis of axially varying functionally graded material (FGM) pipes conveying fluid. The Karhunen-Loève expansion is first employed to generate a random filed with axially varying FGM properties. Then the input uncertainty is substituted into the governing equation of axially varying FGM pipes conveying fluid. The stochastic
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Dynamic stability control of viscoelastic nanocomposite piezoelectric sandwich beams resting on Kerr foundation based on exponential piezoelasticity theory Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-11-07 M.S.H. Al-Furjan; Ahmad Farrokhian; Behrooz Keshtegar; Reza Kolahchi; Nguyen-Thoi Trung
The present paper studies the dynamic stability of an embedded Aluminum beam incorporated by nanocomposite piezoelectric layers. Carbon nanotubes (CNTs) is a reinforcing agent for the face sheets of the sandwich structure and ag glomeration influences are assumed via Mori-Tanaka model. The Kerr viscoelastic medium containing two dampers, two springs as well as a shear element is enhanced. In order
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Novel strategies for parameter fitting procedure of the Ogden hyperfoam model under shear condition Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-11-03 Shunping Yan; Dong Jia; Yong Yu; Luobin Wang; Yong Qiu; Qiang Wan
The Ogden hyperfoam model has been widely used to characterize the hyperelastic deformation of elastomeric foams. To capture the shear response, shear stress–strain data obtained from simple shear tests are traditionally used, along with uniaxial compression data, to fit the model parameters. The adequacy of the shear stress–strain data for the parameter fitting of the Ogden hyperfoam model to describe
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Differential quadrature-based solution for non-classical Euler-Bernoulli beam theory Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-24 Md Ishaquddin; S. Gopalakrishnan
The non-classical theories have attracted the attention of many researchers due to their high potentiality in capturing the micro/nano scale structural behaviour. Unlike classical theories, numerical treatment of non-classical theories is complicated and involves the solution of higher order differential equation with accurate representation of classical and non-classical degrees of freedom and associated
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Reduced order models for geometrically nonlinear structures: Assessment of implicit condensation in comparison with invariant manifold approach Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-31 Yichang Shen; Natacha Béreux; Attilio Frangi; Cyril Touzé
A comparison between two methods to derive reduced-order models (ROM) for geometrically nonlinear structures is proposed. The implicit condensation and expansion (ICE) method relies on a series of applied static loadings. From this set, a stress manifold is constructed for building the ROM. On the other hand, nonlinear normal modes rely on invariant manifold theory in order to keep the key property
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FFT-based micromechanical simulations of transformation plasticity. Comparison with a limit-analysis-based theory Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-11-02 Youssri El Majaty; Renald Brenner; Jean-Baptiste Leblond
This work addresses the numerical simulation of transformation plasticity by using a numerical scheme based on the fast Fourier transform (FFT). A two-phase material with isotropic thermo-elastoplastic phases is considered. Together with prescribed transformation kinetics, this permits to describe the plasticity induced by the accommodation of the volume change accompanying the phase transformation
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On the radial bending of shear-deformable composite circular plates with rectilinear orthotropy Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-28 Valerio G. Belardi; Pierluigi Fanelli; Francesco Vivio
The objective of this work is the derivation of an analysis methodology for composite circular plates undergoing radial bending. This class of plates features a circumferential variation of the stiffness properties because they are characterized by axisymmetric geometry and rectilinearly oriented reinforcing fibers. The load condition consists in a bending moment acting along the radial direction and
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Flexural wave propagation and attenuation through Timoshenko beam coupled with periodic resonators by the method of reverberation-ray matrix Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-28 Dong Tang; Fuzhen Pang; Zhongyu Zhang; Liaoyuan Li
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Sensitivity analysis and vibration control of asymmetric nonlinear rotating shaft system utilizing 4-pole AMBs as an actuator Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-22 N.A. Saeed; Emad Mahrous Awwad; Mohammed A. El-Meligy; Emad Abouel Nasr
This article aimed to control the lateral vibrations of an asymmetric vertically supported nonlinear rotating shaft system. The system is molded as a two-degree-of-freedom nonlinear system having external and multi-parametric excitations. A combination of both the linear and nonlinear proportional-derivative controller is proposed to control the system dynamics. Four poles active magnetic bearing system
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Dynamic stiffness of nonlocal damped nano-beams on elastic foundation Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-17 S. Adhikari; D. Karličić; X. Liu
Free and forced bending vibration of damped nonlocal nano-beams resting on an elastic foundation is investigated. Two types of nonlocal damping models, namely, strain-rate-dependent viscous damping and velocity-dependent viscous damping are considered. A frequency-dependent dynamic finite element method is developed to obtain the forced vibration response. Frequency-adaptive complex-valued shape functions
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Uniformly moving antiplane crack in flexoelectric materials Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-05 Antonios E. Giannakopoulos; Thanasis Zisis
The antiplane dynamic flexoelectric problem is stated as a dielectric solid that incorporates gradients of electric polarization and flexoelectricity due to strain gradients. It is shown that the coupling of the mechanical with the electrical problem can be condensed in a single mechanical problem that falls in the area of dynamic couple stress elasticity. Moreover, static and steady state dynamic
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Coulomb friction with rolling resistance as a cone complementarity problem Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-08-08 Vincent Acary; Franck Bourrier
Coulomb friction model with unilateral contact is a basic, but reliable, model to represent the resistance to sliding between solid bodies. It is nowadays well-known that this model can be formulated as a second–order cone complementarity problem, or equivalently, as a variational inequality. In this article, the Coulomb friction model is enriched to take into account the resistance to rolling, also
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Failure of a pre-cracked epoxy sandwich layer in shear Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-15 S. Askarinejad; M.D. Thouless; N.A. Fleck
Adhesive joints are frequently used in automotive, maritime and construction applications, yet joint reliability remains a concern. The purpose of this study is to develop a fracture mechanics methodology for the failure of an elastic-brittle lap-shear joint comprising a thick adhesive layer (an epoxy, of thickness on the order of 10 mm) sandwiched between thick steel adherends. This configuration
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Finite bending of hyperelastic beams with transverse isotropy generated by longitudinal porosity Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-02 Michele Bacciocchi; Angelo Marcello Tarantino
The paper deals with the finite bending analysis of transversely isotropic hyperelastic slender beams made of a neo-Hookean material with longitudinal voids. The fully nonlinear behavior of the structures is presented in the framework of three-dimensional finite elasticity. A semi-inverse approach is used to describe the beam kinematics, which includes the anticlastic effect. The theoretical framework
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Representation of incomplete contact problems by half-planes Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-12 H. Andresen; D.A. Hills; M.R. Moore
Methods for finding the optimal choices of the applied remote loads – the applied normal force, moment, shear force and remote bulk stresses – needed to solve frictional contact problems in partial-slip using half-plane theory are derived by using data from contacts analysed by the finite element method. While the normal and shear forces and moment are readily found from equilibrium considerations
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Hygrothermal vibration of adaptive composite magnetostrictive laminates supported by elastic substrate medium Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-08 Ashraf M. Zenkour; Hela D. El-Shahrany
Vibration of a simply supported rectangular composite laminated plate with four actuating magnetostrictive layers is analyzed in the current study. The studied plate is supported by the two-parameter elastic (Pasternak's) foundations and subjected to a hygrothermal environment. Hamilton's principle and five theories are utilized to derive the kinematic equations considering the transverse shear strain
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Yield criterion and finite strain behavior of random porous isotropic materials Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-09 J. Hure
The mechanical response of isotropic elastoplastic materials containing random distributions of initially spherical voids is investigated computationally based on Fast Fourier Transform simulations. Numerical limit-analysis simulations at constant stress triaxiality allow to determine the yield surfaces, leading in particular to the determination of a Representative Volume Element size for the onset
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Surface energy-enriched gradient elastic Kirchhoff plate model and a novel weak-form solution scheme Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-09-17 Bo Zhang; Heng Li; Juan Liu; Huoming Shen; Xu Zhang
In this work, we propose a non-classical Kirchhoff plate model to investigate surface energy and gradient elasticity effects on the static bending and free vibration behavior of micro-plates. Gurtin-Murdoch surface elasticity theory and a single-parameter gradient elasticity theory are combined to capture three types of size effects. The equations of motion and related boundary conditions of the model
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A developed energy-dependent model for studying thermal shock damage and phase transition of composite reinforced panel subjected to lightning strike Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-09 Senqing Jia; Fusheng Wang; Bin Xu; Wuzhu Yan
Lightning strikes generate large amounts of energy. Thus, composite structures subjected to lightning strikes undergo significant physicochemical changes. In this study, the thermal shock damage and three-phase transition of a composite reinforced panel were investigated through a numerical simulation, an experiment, and ultrasonic C-scanning. An anisotropic constitutive model and PUFF equation of
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Comparative experimental study of the dynamic properties and adiabatic shear susceptibility of titanium alloys Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-08 Chun Ran; Qiang Zhou; Pengwan Chen; Qi Chen; Wangfeng Zhang
Titanium and titanium alloys are prone to adiabatic shear failure when deformed at high strain rates due to their low coefficients of specific heat and thermal conductivity. Comparative study of the adiabatic shear susceptibility of titanium alloys are seldom reported in the literature. To further understand this topic, the mechanical response of five representative titanium alloys, i.e. commercially
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Dynamic instability analysis of FG-CNTRC laminated conical shells surrounded by elastic foundations within FSDT Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-08 Tao Fu; Xing Wu; Zhengming Xiao; Zhaobo Chen
A comprehensive understanding of the dynamic instability of shell structure is critical to avoid resonance damage. On the basis of that, an accurate and analytical method for investigation the dynamic instability of laminated functionally graded carbon nanotube reinforced composite (FG-CNTRC) conical shell surrounded by the elastic foundations is presented in this work based on the first-order shear
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On wave dispersion characteristics of magnetostrictive sandwich nanoplates in thermal environments Eur. J. Mech. A Solids (IF 3.786) Pub Date : 2020-10-08 Farzad Ebrahimi; Ali Dabbagh; Timon Rabczuk
Present manuscript undergoes with the investigation of the wave propagation features of smart magnetostrictive sandwich nanoplates (MSNPs) with regard to the influences of small scale in the context of the so-called nonlocal strain gradient theory (NSGT) of elasticity. The under observation continuous system, i.e. a thin-type one, is modeled via the Kirchhoff-Love theorem incorporated with the dynamic
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