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A hemivariational damageable elastoplastic vertex-spring model for masonry analysis Math. Mech. Solids (IF 2.6) Pub Date : 2024-03-16 Chuong Anthony Tran, Francisco James Leòn Trujillo, Antonello Salvatori, Margherita Solci, Andrea Causin, Luca Placidi, Emilio Barchiesi
This work is an intermediate step towards the extension of a recently proposed block-based model for masonry structures, which was based on a hemivariational approach and inspired from granular micromechanics. Here, contrarily to the previous model, plastic effects will also be taken into account along with damage and elastic behaviours, and the full hemivariational derivation of the strong-form (in)equations
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An energy-balanced method for determining the optimized parameter of the incompatible generalized mixed element Math. Mech. Solids (IF 2.6) Pub Date : 2024-03-14 Yonggang Wang, Guanghui Qing
A novel method for determining the optimized parameter of the four-node incompatible generalized mixed element is presented based on the equilibrium between strain energy and complementary energy. The presented energy formulations are derived from the generalized mixed variational principle, which contains an arbitrary additional parameter. The initial solutions expressed by the displacement field
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Models of fractional viscous stresses for incompressible materials Math. Mech. Solids (IF 2.6) Pub Date : 2024-03-13 Harold Berjamin, Michel Destrade
We present and review several models of fractional viscous stresses from the literature, which generalise classical viscosity theories to fractional orders by replacing total strain derivatives in time with fractional time derivatives. We also briefly introduce Prony-type approximations of these theories. Here, we investigate the issues of material frame-indifference and thermodynamic consistency for
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Analysis of planar arbitrarily curved microbeams with simplified strain gradient theory and Timoshenko–Ehrenfest beam model Math. Mech. Solids (IF 2.6) Pub Date : 2024-03-13 Duy Vo, Zwe Yan Aung, Toan Minh Le, Pana Suttakul, Elena Atroshchenko, Jaroon Rungamornrat
As the first endeavor in the context of Mindlin’s strain gradient theory, this study contributes a systematic and rigorous derivation for governing equations and boundary conditions of planar arbitrarily curved microbeams. The Timoshenko–Ehrenfest beam model is incorporated into a simplified version of Mindlin’s strain gradient theory. Kinematic unknowns include displacement components of the beam
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Newtonian laws of motion and conservation principles Math. Mech. Solids (IF 2.6) Pub Date : 2024-03-12 James M Hill
Newton’s laws of motion and Newtonian conservation principles such as those for energy and momentum involve the assumption that the vanishing of a certain total time derivative, on integration, yields a fixed constant value as an immediate consequence. While this may ultimately be the case for additional reasons, it is possible to have a properly vanishing total time derivative and yet the individual
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Stress intensity factors and full-field stresses for a hypocycloid-type crack within a thermo-elastic material Math. Mech. Solids (IF 2.6) Pub Date : 2024-03-12 Yi-Lun Liao, Chien-Ching Ma, Ching-Kong Chao
This study focuses on the failure analysis of a hypocycloid-type crack within a thermo-elastic material. Employing the conformal mapping method, analytical continuation theorem, and principle of superposition, the explicit general solution for stress intensity factors (SIFs) associated with an arbitrary-edged hypocycloid-type crack is determined analytically under the influence of remote homogeneous
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A revisit to the plane problem for low-frequency acoustic scattering by an elastic cylindrical shell Math. Mech. Solids (IF 2.6) Pub Date : 2024-03-11 Hazel Yücel, Nihal Ege, Barış Erbaş, Julius Kaplunov
The proposed revisit to a classical problem in fluid–structure interaction is due to an interest in the analysis of the narrow resonances corresponding to a low-frequency fluid-borne wave, inspired by modeling and design of metamaterials. In this case, numerical implementations would greatly benefit from preliminary asymptotic predictions. The normal incidence of an acoustic wave is studied for a circular
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In-plane surface waves propagating in a coated half-space based on the strain-gradient elasticity theory Math. Mech. Solids (IF 2.6) Pub Date : 2024-03-11 Bowen Zhao, Jianmin Long
By employing the strain gradient elasticity theory, we investigate the propagation of in-plane surface waves in a coated half-space with microstructures. We first investigate the general case of the present problem, that is, both the surface layer and the half-space are described by the strain-gradient elasticity theory. We formulate the boundary and continuity conditions of the general case and derive
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ResUNet involved generative adversarial network-based topology optimization for design of 2D microstructure with extreme material properties Math. Mech. Solids (IF 2.6) Pub Date : 2024-03-08 Jicheng Li, Hongling Ye, Nan Wei, Xingyu Zhang
Topology optimization is one of the most common methods for design of material distribution in mechanical metamaterials, but resulting in expensive computational cost due to iterative simulation of finite element method. In this work, a novel deep learning-based topology optimization method is proposed to design mechanical microstructure efficiently for metamaterials with extreme material properties
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On the role of the invariant “I4” in conventional couple-stress hyperelasticity Math. Mech. Solids (IF 2.6) Pub Date : 2024-03-08 Kostas P Soldatos
This short communication rectifies an issue that may cause controversy in a recent publication and thus removes some doubt recorded in the same regarding its ability to determine the spherical part of the couple-stress in the case of large elastic deformations of isotropic polar materials.
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A new model for spatial rods incorporating surface energy effects Math. Mech. Solids (IF 2.6) Pub Date : 2024-03-05 Gongye Zhang, Xin-Lin Gao, Ziwen Guo
A new non-classical model for spatial rods incorporating surface energy effects is developed using a surface elasticity theory. A variational formulation based on the principle of minimum total potential energy is employed, which leads to the simultaneous determination of the equilibrium equations and complete boundary conditions. The newly developed spatial rod model contains three surface elasticity
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Examining avascular tumour growth dynamics: A variable-order non-local modelling perspective Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-28 Mariam Mubarak Almudarra, Ariel Ramírez-Torres
This study investigates the growth of an avascular tumour described through the interchange of mass among its constituents and the production of inelastic distortions induced by growth itself. A key contribution of this research examines the role of non-local diffusion arising from the complex and heterogeneous tumour micro-environment. In our context, the non-local diffusion is enhanced by a variable-order
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Large deformation of soft dielectric cylindrical tubes under external radial electric field Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-26 Pietro Liguori, Massimiliano Gei
We study the nonlinear deformation of a soft dielectric tube subjected to an external electric field induced by two outer fixed electrodes. The tube follows an electro-elastic, ideal dielectric, neo-Hookean free energy and is longitudinally either constrained or free; in general, it deforms by shrinking and finding an equilibrium configuration closer to the inner electrode. The non-homogeneous system
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Towards automated image-based cohesive zone modeling of cracking in irregular masonry Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-19 Karim Ehab Moustafa Kamel, Thierry J Massart
The models developed for masonry and historical structures in the literature are usually classified into macromodels considering masonry as an equivalent continuum; and micromodels in which brick, blocks, or stones and mortar joints are represented explicitly. In this second category, many contributions dealt with regular bond masonry for which the geometrical description and the discretization are
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Damped Normal Compliance (DNC) and the restitution coefficient Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-19 Meir Shillor, Ian Pahuja
This work introduces and studies a novel normal compliance contact condition with damping, the Damped Normal Compliance (DNC), which is more realistic than the usual normal compliance condition that is often used in modeling contact between solids. The condition is applied in a model for the contact of a rigid mass with a reactive obstacle and allows for energy dissipation during contact. We analyze
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On self-contact and non-interpenetration of elastic rods Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-16 Chiara Lonati, Alfredo Marzocchi
In this review, we discuss some conditions for achieving non-interpenetration and self-contact of solids, in particular for regular, inextensible, and closed elastic rods. We establish some equivalences between conditions that were stated sometimes independently, underlying their local or global character. We then examine three conditions related to virtual displacements and to topological characters
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On the incremental equations in surface elasticity Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-16 Xiang Yu, Yibin Fu
We derive the incremental equations for a hyperelastic solid that incorporate surface tension effect by assuming that the surface energy is a general function of the surface deformation gradient. The incremental equations take the same simple form as their purely mechanical counterparts and are valid for any geometry. In particular, for isotropic materials, the extra surface elastic moduli are expressed
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An experimentally informed continuum grain boundary model Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-14 S Syed Ansari, Amit Acharya, Alankar Alankar
A continuum grain boundary model is developed, which uses experimentally measured grain boundary energy data as a function of misorientation to simulate idealized grain boundary evolution in a one-dimensional (1D) grain array. The model uses a continuum representation of the misorientation in terms of spatial gradients of the orientation as a fundamental field. The grain boundary energy density employed
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Solution of planar elastic stress problems using stress basis functions Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-14 Sankalp Tiwari, Anindya Chatterjee
The use of global displacement basis functions to solve boundary-value problems in linear elasticity is well established. No prior work uses a global stress tensor basis for such solutions. We present two such methods for solving stress problems in linear elasticity. In both methods, we split the sought stress σ into two parts, where neither part is required to satisfy strain compatibility. The first
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Continuous distributions of certain defects in smectic mixtures Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-14 Marcelo Epstein
A certain type of defectivity applicable to binary mixtures of uniform solids and liquid crystals is identified as arising from the possible lack of uniformity of the composite as a result of a misalignment between the structures of the underlying constituents. Various local measures of misalignment are derived for the case of a smectic-A combined with solids with discrete or continuous symmetry groups
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A modified couple stress model to analyze the effect of size-dependent on thermal interactions in rotating nanobeams whose properties change with temperature Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-14 Ahmed E Abouelregal, Mohammed NA Rabih, Hind A Alharbi, Sami F Megahid
Understanding the behavior of rotating materials and structures on small scales is crucial for many scientific and engineering fields, and such studies play an important role in this regard. This paper aims to propose a novel paradigm for analyzing the vibrational characteristics of thermoelastic nanobeams with diverse physical attributes. The incorporation of size effects in the structural and thermal
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Lamb waves at a non-semisimple degeneracy of the fundamental matrix Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-09 Sergey V Kuznetsov
Anomalous guided waves appearing at a non-semisimple degeneracy of the fundamental matrix are observed and analyzed in the framework of the Cauchy sextic formalism. The non-semisimple degeneracy condition is explicitly constructed for the most general case of Lamb waves propagating in a traction-free layer with arbitrary elastic anisotropy. A new type of dispersion equation and the corresponding dispersion
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Analytical modeling of the electrical conductivity of CNT-filled polymer nanocomposites Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-08 Masoud Ahmadi, Prashant Saxena
Electrical conductivity of most polymeric insulators can be drastically enhanced by introducing a small volume fraction [Formula: see text] of conductive nanofillers. These nanocomposites find wide-ranging engineering applications from cellular metamaterials to strain sensors. In this work, we present a mathematical model to predict the effective electrical conductivity of carbon nanotubes (CNTs)/polymer
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Refined linearly anisotropic couple-stress elasticity Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-08 Kostas P Soldatos
A recently developed, refined version of the conventional linear couple-stress theory of isotropic elasticity is extended to include the influence of anisotropic material effects. With this development, the implied refined theory (1) retains ability to determine the spherical part of the couple-stress and (2) is further furnished with constitutive ability to embrace modelling of linearly elastic solids
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Some decay properties in extensible thermoelastic beam with Gurtin–Pipkin’s law Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-08 Moncef Aouadi
In this article, we derive the equations that constitute the mathematical model of extensible thermoelastic beam in the context of second sound model which turns to the Gurtin–Pipkin’s one. These nonlinear governing equations are derived according to the von Kármán theory and simplified by the Euler–Bernoulli approximation in the context of Gurtin–Pipkin’s law. Even more so, the case of Fourier’s law
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Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric bi-material strip Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-08 Xi-Meng Zhang, Hui Qi
In this paper, the problem of a V-notch with complex boundary conditions in a piezoelectric bi-material strip is studied. First, SH guided wave is considered as an external load acting on the piezoelectric bi-material strip; on the basis of repeated image superposition, the analytical expression of scattering wave is conducted, which satisfies the stress-free and electric insulation conditions on the
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Moving from theory to application: Evaluating the numerical implementation of void shape effects and damage delocalization in the modeling of ductile fracture in porous plastic metals Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-08 Koffi Enakoutsa, Yanni L. Bills
In this paper, we present a robust exploration of the Gologanu–Leblond–Devaux (GLD) model, an advanced iteration of the Gurson model, designed to predict ductile fractures in porous metals. Going beyond the limits of the original Gurson model, the GLD model accounts for cavity shape effects and non-local strain localization, marking a significant leap in fracture mechanics. We also present a comprehensive
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A two-dimensional four-node quadrilateral inverse element for shape sensing and structural health monitoring Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-07 Mingyang Li, Erkan Oterkus, Selda Oterkus
The inverse finite element method (iFEM) is a powerful tool for shape sensing and structural health monitoring and has several advantages with respect to some other existing approaches. In this study, a two-dimensional four-node quadrilateral inverse finite element formulation is presented. The element is suitable for thin structures under in-plane loading conditions. To validate the accuracy and demonstrate
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A study on the effect of defects on the buckling of double-walled carbon nanotubes under compression based on a new atomic-continuum coupling method Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-06 Xiangyang Wang, Huibo Qi, Jiqiang Li, Junying Bi, Renpeng Qiao, Jingrui Zhang
An atomic-continuum coupling (ACC) method is developed for the nonlinear mechanical analysis of defective double-walled carbon nanotubes (DWCNTs). The moving least squares (MLS) approximation is resorted to bridge the fully atomic discrete structures of defective DWCNTs and the corresponding virtual continuum solids. The intrinsic mechanic laws implied in nanostructures can be accurately mapped into
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An analytical solution for the orthotropic semi-infinite plane with an arbitrary-shaped hole Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-06 Yulin Zhou, Aizhong Lu, Ning Zhang
The application of analytical methods to solve the problem of an anisotropic semi-infinite plane with a hole has not been observed thus far. This paper presents an analytical solution for an orthotropic semi-infinite plane with an arbitrary-shaped hole, considering the condition of a uniform stress applied at the hole boundary. First, the shapes of holes on the [Formula: see text]- and [Formula: see
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Linear elastic diatomic multilattices: Three-dimensional constitutive modeling and solutions of the shift vector equation Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-06 Dimitrios Sfyris, Georgios I Sfyris
Diatomic multilattices are congruences of simple lattices each made out of atoms of two possible chemical species. We here constitutively characterize, in three dimensions, diatomic multilattices for the geometrically and materially linear elastic regime. We give the most generic expression for the energy for [Formula: see text] diatomic multilattices and characterize explicitly the tensors present
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Wiener–Hopf method to solve the anti-plane problem of moving semi-infinite crack in orthotropic composite materials Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-05 Shiv Shankar Das, Anshika Tanwar, Subir Das, Eduard-Marius Craciun
This paper contains the solution to the problem of a semi-infinite moving crack situated in an orthotropic strip bonded between two identical strips. The crack moves with a constant velocity, and the surface is under shear wave disturbance. We first examine the equations of elasticity, which include equilibrium equations and stress and displacement constitutive relations with the model-specific continuity
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Enhanced beam and plate finite elements with shear stress continuity for compressible sandwich structures Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-05 Bence Hauck, András Szekrényes
This paper concerns and presents new improved beam and plate finite elements for analysing sandwich structures from the structural and modal points of view. In this study, the material behaviour is supposed to be linear elastic and orthotropic, but the method could be extended for nonlinear problems as well. The current models are able to treat the compressibility of the soft core materials, besides
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Debonding of an elastic layer with a cavity from a rigid substrate caused by rotation of a bonded rigid cylinder Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-05 Pinchas Malits
Debonding of an elastic layer with a circular cylindrical cavity [Formula: see text], [Formula: see text], from a rigid substrate under action of a rigid cylinder is the object of this study. The annular debonding zone [Formula: see text] is caused by rotation of a cylinder bonded to the cavity surface. The problem is reformulated as dual integral equations with Weber integral transforms kernels. A
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Well-posedness of evolutionary differential variational–hemivariational inequalities and applications to frictional contact mechanics Math. Mech. Solids (IF 2.6) Pub Date : 2024-02-03 Nadia Skoglund Taki, Kundan Kumar
In this paper, we study the well-posedness of a class of evolutionary variational–hemivariational inequalities coupled with a nonlinear ordinary differential equation in Banach spaces. The proof is based on an iterative approximation scheme showing that the problem has a unique mild solution. In addition, we established the continuity of the flow map with respect to the initial data. Under the general
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Existence of time-dependent attractor of wave equation in locally uniform space Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-25 Xudong Luo, Qiaozhen Ma
In this article, we study non-autonomous dynamical behavior of weakly damped wave equation in unbounded domain. First of all, we introduce the time-dependent locally uniform space. After that, the pullback asymptotical compactness is proved by applying the contractive function method. Eventually, we obtain the existence of [Formula: see text]-time-dependent attractor of wave equation.
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Numerical methods in Poisson geometry and their application to mechanics Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-25 Oscar Cosserat, Camille Laurent-Gengoux, Vladimir Salnikov
We recall the question of geometric integrators in the context of Poisson geometry and explain their construction. These Poisson integrators are tested in some mechanical examples. Their properties are illustrated numerically and compared to traditional methods.
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On a dynamic frictional contact problem with normal damped response and long-term memory Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-25 Imane Ouakil, Benyattou Benabderrahmane, Yamna Boukhatem, Baowei Feng
A dynamic frictional contact problem between a viscoelastic body and a foundation is studied. The contact is modeled with normal damped response and a friction law. The constitutive law with long memory is assumed to be nonlinear. The existence result is proved using nonlinear monotone operators, fixed point argument, and extension procedure. Moreover, the exponential stability of the energy solution
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Chirality effects in panto-cylindrical structures Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-24 Maximilian Stilz, Jonas Breuling, Simon Eugster, Marek Pawlikowski, Roman Grygoruk
In this paper, we apply a numerical integration strategy recently developed for determining the deformation shapes of structures constituted by Cosserat rods, to predict the behavior of panto-cylinders. Panto-cylinders have, as microstructure, a set of two families of helicoidal beams interconnected by perfect or elastic joints. The pivot’s free rotation axis is, in the reference configuration, orthogonal
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Topology optimisation for vibration bandgaps of periodic composite plates using the modified couple stress continuum Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-24 Yu Cong, Zixu X Xia, Shuitao T Gu, Yi Hui, Zhi-Qiang Feng
We propose a topology optimisation approach that can effectively account for the size effect of periodic composite plates to determine the optimal material distribution for achieving the largest bandgap width. The approach is based on the modified couple stress continuum and uses the relative bandgap width as the objective function, with volume constraints defined as the constraint function. The material
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A quasi-static model of a thermoelastic body reinforced by a thin thermoelastic inclusion Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-20 Irina V Fankina, Alexey I Furtsev, Evgeny M Rudoy, Sergey A Sazhenkov
The problem of description of quasi-static behavior is studied for a planar thermoelastic body incorporating an inhomogeneity, which geometrically is a strip with a small cross-section. This problem contains a small positive parameter [Formula: see text] describing the thickness of the inhomogeneity, i.e., the size of the cross-section. Relying on the variational formulation of the problem, we investigate
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Three-dimensional quasi-static general solution for isotropic chemoelastic materials and their application Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-20 Longming Fu, Guocheng Li, Sitong Wang, Hui Wang, He Ma, Xianji Shao
Based on potential theory, the three-dimensional quasi-static general solution for isotropic chemoelastic materials is presented in this work. Through the three-dimensional general solution, the Green’s function for an isotropic chemoelastic material subjected to dynamic point loads is derived. This can serve as theoretical guidance for future engineering practices. Four functions constitute the expressions
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Asymptotic long-wave model for a high-contrast two-layered elastic plate Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-19 Gennadi Mikhasev
The paper is concerned with the derivation of asymptotically consistent equations governing the long-wave flexural response of a two-layered rectangular plate with high-contrast elastic properties. In the general case, the plate is under dynamic and variable surface, volume, and edge forces. Performing the asymptotic integration of the three-dimensional (3D) elasticity equations in the transverse direction
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A mathematical model for the prediction of mechanical properties on ASTM A510/A853 cold-drawn hypoeutectoid steel wire after batch annealing Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-18 José Alfredo Sánchez de León
Annealed ASTM A510/A853 hypoeutectoid steel wire is a very useful and versatile material that finds its applications in the construction industry; this is mainly due to its mechanical properties, since this product can reach high ductility. In order to achieve the sought quality and homogeneity in this material, it is necessary to have a suitable control during operation. Important operational control
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Homogenization of a coupled electrical and mechanical bidomain model for the myocardium Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-17 Laura Miller, Raimondo Penta
We propose a coupled electrical and mechanical bidomain model for the myocardium tissue. The structure that we investigate possesses an elastic matrix with embedded cardiac myocytes. We are able to apply the asymptotic homogenization technique by exploiting the length scale separation that exists between the microscale where we see the individual myocytes and the overall size of the heart muscle. We
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Applications of vector bundle to finite elasto-plasticity Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-17 Sanda Cleja-Ţigoiu
A new approach to finite elasto-plasticity of crystalline materials, with a differential geometry point of view toward the material description, is proposed. In order to define the plastic and elastic distortions, traditionally it is accepted the existence of an intermediate configuration, which is endowed with a differential manifold structure. A more restrictive but physically and mathematically
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Analysis of axisymmetric hollow cylinder under surface loading using variational principle Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-12 Ajinkya V Sirsat, Srikant S Padhee
In this work, a variational principle–based approach has been adopted to analyze one of the classical linear elasticity problem of the axisymmetric cylinder under surface loading. The use of variational principle results in a set of governing partial differential equations with associated boundary conditions. The equations have been solved using the separation of variable approach and the Frobenius
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Characterization of framed curves arising from local isometric immersions Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-12 Peter Hornung
We characterize the class of framed curves that are induced by local isometric immersions (bending deformations) defined in a neighbourhood of a curve in the reference configuration. This characterization is sharp; in particular, for every framed curve belonging to the class, we construct a local isometric immersion from which it arises.
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Growth-induced delamination of an elastic film adhered to a cylinder Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-08 Giuseppe Bevilacqua, Gaetano Napoli, Stefano Turzi
We study the delamination induced by the growth of a thin adhesive sheet from a cylindrical, rigid substrate. Neglecting the deformations along the axis of the cylinder, we treat the sheet as a one-dimensional flexible and compressible ring, which adheres to the substrate by capillary adhesion. Using the calculus of variations, we obtain the equilibrium equations and in particular arrive at a transversality
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Identifying composition-mechanics relations in human brain tissue based on neural-network-enhanced inverse parameter identification Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-06 Jan Hinrichsen, Lea Feiler, Nina Reiter, Lars Bräuer, Martin Schicht, Friedrich Paulsen, Silvia Budday
The mechanical properties of human brain tissue remain far from being fully understood. One aspect that has gained more attention recently is their regional dependency, as the brain’s microstructure varies significantly from one region to another. Understanding the correlation between tissue components and the mechanical behavior is an important step toward better understanding how human brain tissue
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The mathematics and mechanics of tug of war Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-06 Derek E Moulton, Hadrien Oliveri
In this paper, we propose a mechanical model for a game of tug of war (rope pulling). We focus on a game opposing two players, modelling each player’s body as a structure composed of straight rods that can be actuated in three different ways to generate a pulling force. We first examine the static problem of two opponents being in a deadlock configuration of mechanical equilibrium; here we show that
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Basic errors in couple-stress hyperelasticity articles Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-04 M H B M Shariff, R Bustamante, J Merodio
We highlight the basic errors found in a related set of couple-stress hyperelasticity articles and evince some statements are incorrect, which suggest that the results obtained in these set of articles are questionable.
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On the inflation, bulging/necking bifurcation and post-bifurcation of a cylindrical membrane under limited extensibility of its constituents Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-03 Heiko Topol, Alejandro Font, Andrey Melnikov, Jesús Lacalle, Marcus Stoffel, José Merodio
We consider the bifurcation and post-bifurcation of an extended and inflated circular cylindrical membrane under limited extensibility of its constituents. First, for illustration of the limited extensibility effect, a membrane made of the (isotropic) Gent model is briefly analyzed. Second, the membrane is considered to be made of an isotropic ground substance reinforced with fibers symmetrically arranged
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Quasiconvexity in a model of fiber-reinforced solids based on Cosserat elasticity theory Math. Mech. Solids (IF 2.6) Pub Date : 2024-01-02 Milad Shirani, Mircea Bîrsan, David J Steigmann
The quasiconvexity inequality associated with energy minimizers is derived in the context of a nonlinear Cosserat elasticity theory for fiber-reinforced elastic solids in which the intrinsic flexural and torsional elasticities of the fibers are taken into account explicitly. The derivation accounts for non-standard kinematic constraints, associated with the materiality of the embedded fibers, connecting
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Stimuli-responsive shell theory Math. Mech. Solids (IF 2.6) Pub Date : 2023-05-15 Jeong-Ho Lee, Harold S Park, Douglas P Holmes
Soft matter mechanics generally involve finite deformations and instabilities of structures in response to a wide range of mechanical and non-mechanical stimuli. Modeling plates and shells is gener...
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A non-ordinary state decomposition method for three-body potential peridynamics model Math. Mech. Solids (IF 2.6) Pub Date : 2023-05-12 Xiaolong Li, Zhiming Hao
A non-ordinary state decomposition method is proposed for the bond shear form of three-body potential peridynamics (PD) model. To accomplish this formulation, the effective relative displacement be...
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Tensor decomposition for modified quasi-linear viscoelastic models: Towards a fully non-linear theory Math. Mech. Solids (IF 2.6) Pub Date : 2023-05-12 Valentina Balbi, Tom Shearer, William J Parnell
We discuss the decomposition of the tensorial relaxation function for isotropic and transversely isotropic (TI) modified quasi-linear viscoelastic (MQLV) models. We show how to formulate the consti...
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Lateral buckling of drill strings revisited: localised “snaking” Math. Mech. Solids (IF 2.6) Pub Date : 2023-05-11 Ciprian D Coman
The classical lateral buckling of a straight drill string confined within an inclined cylindrical borehole is formulated as a singularly perturbed boundary-value problem which is subsequently explo...
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Analysis of Berger nonlinear elastic static plate bending of rectangular plates Math. Mech. Solids (IF 2.6) Pub Date : 2023-05-11 Radek Svačina, Jitka Machalová
This paper deals with a nonlinear static plate model based on Berger theory, which is a specific case of a generalization of the Woinowsky-Krieger mathematical model of beam bending. It is consider...
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Stability signatures for porous thermoelasticity with microtemperature and without temperature Math. Mech. Solids (IF 2.6) Pub Date : 2023-05-05 AJA Ramos, DS Almeida Júnior, M Aouadi, MM Freitas, RC Barbosa
In this paper, we provide necessary and sufficient conditions for obtaining the stabilization properties for the one-dimensional Lord–Shulman thermoelastic theory with porosity subject to microtemp...