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

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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