Mathematics and Mechanics of Solids

Article	Citations
In-depth gaze at the astonishing mechanical behavior of bone: A review for designing bio-inspired hierarchical metamaterials	83
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution	59
A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part I – reconsideration of curvature-based flexoelectricity theory	37
Second-gradient continua: From Lagrangian to Eulerian and back	29
An implicit constitutive relation for describing the small strain response of porous elastic solids whose material moduli are dependent on the density	29
On a new class of non-Gaussian molecular-based constitutive models with limiting chain extensibility for incompressible rubber-like materials	28
Lagrangian descriptions of dissipative systems: a review	26
Out-of-plane deformation reduction via inelastic hinges in fibrous metamaterials and simplified damage approach	25
Nonlocal vibration of functionally graded nanoplates using a layerwise theory	25
Investigating infill density and pattern effects in additive manufacturing by characterizing metamaterials along the strain-gradient theory	23
Variety of fiber orientation tensors	23
The effect of pore shape on the Poisson ratio of porous materials	23
Finite element formulations for constrained spatial nonlinear beam theories	22
Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders	21
Bending analysis of functionally graded porous nanocomposite beams based on a non-local strain gradient theory	21
Modelling flexural wave propagation by the nonlocal strain gradient elasticity with fractional derivatives	20
Electrical analogs of curved beams and application to piezoelectric network damping	20
A non-classical model for first-ordershear deformation circular cylindrical thin shells incorporating microstructure and surface energy effects	18
Shear rupture mechanism and dissipation phenomena in bias-extension test of pantographic sheets: Numerical modeling and experiments	17
Boundary and interface conditions in the relaxed micromorphic model: Exploring finite-size metastructures for elastic wave control	17
A 3D extension of pantographic geometries to obtain metamaterial with semi-auxetic properties	16
In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results	15
Rayleigh wave in layered piezoelectric semiconductor with consideration of PN junction effects	15
On the decay of the energy for radial solutions in Moore–Gibson–Thompson thermoelasticity	15
The effect of local random defects on the response of pantographic sheets	15

A numerical investigation on impulse-induced nonlinear longitudinal waves in pantographic beams	15
The effect of pore sizes on the elastic behaviour of open-porous cellular materials	15
On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization	15
Characterization of the symmetry class of an elasticity tensor using polynomial covariants	14
A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: Clamped rectangular incompressible elastic plates	13
A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies	13
An open-source implementation of a phase-field model for brittle fracture using Gridap in Julia	13
On the extension of the mode-matching procedure for modeling a wave-bearing cavity	13
Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation	13
An updated Lagrangian Bézier finite element formulation for the analysis of slender beams	12
A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part II - variational formulations and applications in plates	12
Axisymmetric frictionless indentation of a rigid stamp into a semi-space with a surface energetic boundary	12
Influence of non-local diffusion in avascular tumour growth	11
On weak solutions of the boundary value problem within linear dilatational strain gradient elasticity for polyhedral Lipschitz domains	11
Free vibration analysis of nonlocal nanobeams: a comparison of the one-dimensional nonlocal integral Timoshenko beam theory with the two-dimensional nonlocal integral elasticity theory	11
Porous and cracked rocks elasticity: Macroscopic poroelasticity and effective media theory	11
Expressions of nonlocal quantities and application to Stoneley waves in weakly nonlocal orthotropic elastic half-spaces	10
Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)	10
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables	10
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method	10
A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint	10
A phase-field model for electro-mechanical fracture with an open-source implementation of it using Gridap in Julia	10
Dynamics of pantographic sheet around the clamping region: experimental and numerical analysis	10
Fiber orientation distributions based on planar fiber orientation tensors of fourth order	9
Dual percolations of electrical conductivity and electromagnetic interference shielding in progressively agglomerated CNT/polymer nanocomposites	9
Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas	9
Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters	9
Static condensation of peridynamic heat conduction model	9
Local material symmetry group for first- and second-order strain gradient fluids	9
A theoretical scheme for shape-programming of thin hyperelastic plates through differential growth	9
On prismatic and bending bifurcations of fiber-reinforced elastic membranes under swelling with application to aortic aneurysms	9
Construction of piezoelectric and flexoelectric models of composites by asymptotic homogenization and application to laminates	9
A note on viscoelastic bodies whose material properties depend on the density	8
Evolution of bone tissue based on angiogenesis as a crucial factor: New mathematical attempt	8
Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids	8
Unusual deformation patterns in a second-gradient cylindrical lattice shell: Numerical experiments	8
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach	8
On the receding contact between a graded and a homogeneous layer due to a flat-ended indenter	8
Energy distribution of bifurcated waveguide structure with planar and non-planar surfaces	8
Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization	8
A phase-field model for thermo-mechanical fracture	8
Investigating wave transmission and reflection phenomena in pantographic lattices using a second-gradient continuum model	8
A temporal averaging–based approach to toughness homogenisation in heterogeneous material	7
A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains	7
Stress concentration due to an elliptic hole in a porous elastic plate	7
Flexoelectricity and the entropic force between fluctuating fluid membranes	7
Peridynamic modelling of higher order functionally graded plates	7
Theoretical solution for the axial vibration of functionally graded double-lap adhesive joints	7
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	7
Electromechanical fields in a hollow piezoelectric cylinder under non-uniform load: flexoelectric effect	7

Analysis of randomly damaged triangular beam lattice: elastic field and effective properties	6
Asymptotically correct boundary conditions for the higher-order theory of plate bending	6
Two-field variational formulations for a class of nonlinear mechanical models	6
On variational principles in coupled strain-gradient elasticity	6
Parametric analysis of masonry arches following a limit analysis approach: Influence of joint friction, pier texture, and arch shallowness	6
A refined model for the buckling of film/substrate bilayers	6
Quadratic-stretch elasticity	6
Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching	6
Elastohydrodynamic lubrication line contact in couple-stress elasticity	6
Novel porous structures with non-cubic symmetry: Synthesis, elastic anisotropy, and fatigue life behavior	6
Veering of Rayleigh–Lamb waves in orthorhombic materials	6
Variational principles of nonlinear magnetoelastostatics and their correspondences	6
Plane waves in microstretch elastic solid with voids	6
Anisotropic imperfect interface in elastic particulate composite with initial stress	6
Limit analysis of masonry domes with oculus and lantern: A comparison between different approaches	6
High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales	6
Experimental analysis, discrete modeling and parameter optimization of SLS-printed bi-pantographic structures	6
Exact solution of a 2D problem of thermoelasticity without energy dissipation for an infinitely long cylinder	6
An analytical model for nanoscale flexoelectric doubly curved shells	6
On the statics and dynamics of granular-microstructured rods with higher order effects	6
Three-dimensional thermo-electro-elastic field in one-dimensional hexagonal piezoelectric quasi-crystal weakened by an elliptical crack	5
Polynomial stability for the equations of porous elasticity in one-dimensional bounded domains	5
Effective nonlocal behavior of peridynamic random structure composites subjected to body forces with compact support and related prospective problems	5
Matrix-embedded metamaterials: Applications for the architectural heritage	5
Anisotropic stress softening of electromagnetic Mullins materials	5
An experimental study of morphological formation in bilayered tubular structures driven by swelling/growth	5
Thermoelastic interactions on the propagation of surface waves in a piezoelectric half-space: A comparative analysis of GN-III type and three-phase-lag model	5
Post-buckling of an elastic half-space coated by double layers	5
Approximation of dissipative systems by elastic chains: Numerical evidence	5
Centenary of two pioneering theories in mechanics	5
Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness – Part II: determination of the spherical part of the couple-stress	5
Modeling and analysis of a magnetoelastic annular membrane placed in an azimuthal magnetic field	5
A new model of bone remodeling and turnover set up in the framework of generalized continuum mechanics	5
Elastic body with thin nonhomogeneous inclusion in non-coercive case	5
Elastodynamics of a coated half-space under a sliding contact	5
Seismic barriers filled with solid elastic and granular materials: Comparative analysis	5
Modeling the degeneration of the collagen architecture in a microstructural model of the human cornea	5
Critical velocities and displacements of anisotropic tubes under a moving pressure	5
A general contact stiffness model for elastic bodies and its application in time-varying mesh stiffness of gear drive	4
The pull-in instability and eigenfrequency variations of a graphene resonator under electrostatic loading	4
Effects of a tilted flat-ended punch on the receding contact between a graded and a homogeneous layer	4
An asymptotic modeling and resolution framework for morphology evolutions of multiple-period post-buckling modes in bilayers	4
Material swelling with partial confinement in the internally balanced generalization of hyperelasticity	4
Effect of a thermodynamically consistent interface stress on thermal-induced nanovoid evolution in NiAl	4
Rocking forced displacement of a rigid disc embedded in a functionally graded transversely isotropic half-space	4
The universal program of linear elasticity	4
A one-dimensional model for mechanical coupling metamaterials using couple stress theory	4
The effect of material anisotropy on the mechanics of a thin-film/substrate system under mechanical and thermal loads	4
New trends in couple-stress hyperelasticity	4
Investigation of the influence of nano-sized particles on the entanglement distribution of a generic polymer nanocomposite using molecular dynamics	4
A simplified metaelastic model for coated sphere-filled random composites	4
Interaction between an edge dislocation and a circular incompressible liquid inclusion	4
Accretion and ablation in deformable solids with an Eulerian description: examples using the method of characteristics	4
Decomposition of third-order constitutive tensors	4
A slender body theory for the motion of special Cosserat filaments in Stokes flow	4
Upscaling and spatial localization of non-local energies with applications to crystal plasticity	4
A thermodynamical model for paleomagnetism in Earth’s crust	4
Surface instabilities of soft dielectric elastomers with implementation of electrode stiffness	4
Predicting peak stresses in microstructured materials using convolutional encoder–decoder learning	4
Gradient plasticity in isotropic solids	4
Multicoated elastic inhomogeneities of arbitrary shape neutral to multiple fields	4
Lateral buckling of drill strings revisited: localised “snaking”	4
Finite element study of V-shaped crack-tip fields in a three-dimensional nonlinear strain-limiting elastic body	4
Impact response of a thin shallow doubly curved linear viscoelastic shell rectangular in plan	4
Fluid–structure coupled response of dynamical surfaces tailored in a flexible shell	4
Reflection and refraction of plane wave at the junction of two dissimilar pre-stressed functionally graded piezothermoelastic media under different interfacial conditions	4
Linear peridynamics for triclinic materials	4
A theoretical method of mechanical analysis for a circular tunnel reinforced by fully grouted rock bolts	4
Experimental and numerical investigation of the deformation behaviour of cables and thin beam-like structures under multi-axial loading	4
Effects of Schottky junction on surface waves in a piezoelectric semiconducting film over a metal substrate	3
Application of micropolar theory to the description of the skin effect due to hydrogen saturation	3
Topology optimization design for buckling analysis related to the size effect	3
Localized necking and bulging of finitely deformed residually stressed solid cylinder	3
Homogenization of the wave equation with non-uniformly oscillating coefficients	3
On a consistent rod theory for a linearized anisotropic elastic material II. Verification and parametric study	3
An objective and accurate G1-conforming mixed Bézier FE-formulation for Kirchhoff–Love rods	3
Characterization of the material behavior and identification of effective elastic moduli based on molecular dynamics simulations of coarse-grained silica	3
A modified couple stress model to analyze the effect of size-dependent on thermal interactions in rotating nanobeams whose properties change with temperature	3
Sliding frictional contact problem of a layer indented by a rigid punch in couple stress elasticity	3
Transformation field analysis as a background of clustering discretization methods in micromechanics of composites	3

Fractional derivative modeling of time-varying viscosity materials considering initial loading ramp in real experiments	3
A holed-plate with material dislocations: Formulation and verification	3
Digital image correlation analyses of masonry infilled frame: Uncertainty-based mesh refinement and damage quantification	3
Effective properties of heterogeneous materials as functions of contrast between properties of constituents	3
Stick-slip and wear phenomena at the contact interface between an elastic beam and a rigid substrate	3
Dynamic fracture behavior for hole-initiated cracks in functionally graded magneto-electro-elastic bi-materials	3
Interfacial delamination-induced unidirectional propagation of guided waves in multilayered media	3
Analysis of an anti-plane crack in a one-dimensional orthorhombic quasicrystal strip	3
A general theory for anisotropic Kirchhoff–Love shells with in-plane bending of embedded fibers	3
A new approach to curvature measures in linear shell theories	3
On Rayleigh wave field induced by surface stresses under the effect of gravity	3
On the plane strain problem of dynamical flexoelectric effect in dielectrics subject to Sinc-shaped surface loading	3
Limit analysis of strut nets	3
A poroelasticity model for interstitial fluid flow and matrix deformation in a non-homogeneous solid tumor	3
Convergence performance of flexural wave in the unconventional acoustic black hole	3
Logarithmic convexity for third order in time partial differential equations	3
Phase field model for electrically induced damage using microforce theory	3
Constitutive modeling of three-dimensional monoatomic linear elastic multilattices	3
Diffuse approximation for identification of the mechanical properties of microcapsules	3
Reflection of temperature rate–dependent coupled thermoelastic waves on a non-local elastic half-space	3
Towards a combined perfectly matching layer and infinite element formulation for unbounded elastic wave problems	3
The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture	3
On governing equations for a nanoplate derived from the 3D gradient theory of elasticity	3
Dynamic continualization of masonry-like structured materials	3
A hierarchy of asymptotic models for a fluid-loaded elastic layer	2
On the Kelvin–Voigt model in anisotropic viscoelasticity	2
Plane-polarised finite-amplitude shear waves in deformed incompressible materials	2
Universal displacements in inextensible fiber-reinforced linear elastic solids	2
On waves in multi-scale chiral elastic systems	2
The analysis and computation on nonlocal thermoelastic problems of blend composites via enriched second-order multi-scale computational method	2
Evaluation of a decomposition-based interpolation method for fourth-order fiber-orientation tensors: An eigensystem approach	2
On the Sevostianov–Kachanov approximation for the incremental compliances of non-elliptical contacts	2
Global solutions to a phase-field model with logarithmic potential for lithium-ion batteries	2
Analysis and control of an electro-elastic contact problem	2
Higher order asymptotic homogenization for dynamical problems	2
On the inflation, bulging/necking bifurcation and post-bifurcation of a cylindrical membrane under limited extensibility of its constituents	2
A simple higher-order beam model that is represented by two kinematic variables and three section constants	2
Model anisotropic materials with ellipsoidal wave surfaces and their application to determination of elastic constants by acoustical methods	2
Evolution of edge dislocations under elastic and inelastic strains: A nanoscale phase-field study	2
Suppressing thermal stress in the vicinity of a circular nano-inhomogeneity via the mechanism of size effects	2
A novel reduced model for a linearized anisotropic rod with doubly symmetric a cross-section: I. Theory	2
Analytical buckling load formulas for cylindrical shell structures with variable thickness under non-uniform external pressure	2
Transient non-Fourier thermoelastic fracture analysis of a cracked orthotropic functionally graded strip	2
Dynamic performance for piezoelectric bi-materials with an interfacial crack near an eccentric elliptical hole under anti-plane shearing	2
A quasi-static model of a thermoelastic body reinforced by a thin thermoelastic inclusion	2
On tangent geometry and generalised continuum with defects	2
Prediction of bone microstructures degradation during osteoporosis with fuzzy cellular automata algorithm	2
Rules governing swarm robot in continuum mechanics	2
Nonlinear deformations of a cylindrical pipe with pre-stressed thin coatings	2
Remarks on bifurcation of an inflated and extended swellable isotropic tube	2
A mode I crack with multiple islands of ideal contact between the crack faces: An asymptotic model	2
Dynamic amplification in a periodic structure with a transition zone subject to a moving load: Three different phenomena	2
The ductile/brittle transition of polycrystalline aggregates in terms of their single crystal cubic properties	2
Crack nucleation at forging flaws studied by non-local peridynamics simulations	2
A study on an incompressible polymeric pressurized vessel subjected to bulk degradation	2
Study on the interaction between a screw dislocation and circular holes or rigid inclusions by using the angular basis function in conjunction with bipolar coordinates	2
Intrinsic formulation of the Kirchhoff–Love theory of nonlinearly elastic plates	2
The dilatation line in an elastic wedge	2
Effect of nanoscale amorphization on dislocation emission from a semi-elliptical surface crack tip in nanocrystalline materials	2
Hilbert transform approach to solve a problem of collinear Griffith crack in the mid-plane of an infinite orthotropic strip	2
A model for residually stressed viscoelastic bodies and its application to some boundary value problems	2
Consistency of the boundary value problem of an elastic body involving surface tension in small deformations	2
Dynamics of locally damped Timoshenko systems	2
Critical velocities of a three-layer composite tube incorporating the rotary inertia and material anisotropy	2
Wave propagation in micromorphic anisotropic continua with an application to tetragonal crystals	2
Characteristic foliations of material evolution: from remodeling to aging	2
A hemivariational damageable elastoplastic vertex-spring model for masonry analysis	2
Double horizon peridynamics	2
Bending of clamped orthotropic thin plates: polynomial solution	2
Magnetically induced electromechanical fields in a flexoelectric composite microplate	2
An analytical stress field for bi-material V-notches with end hole: New solution and effects of higher order terms	2
History-dependent fractional hemivariational inequality with time-delay system for a class of new frictionless quasistatic contact problems	2
Asymptotic homogenization of flexoelectric composite plates with periodically varying thickness	2
Understanding the role of interfacial mechanics on the wrinkling behavior of compressible bilayer structures under large plane deformations	2
Preface of MMS special issue honoring the memory and legacy of Professor AJM Spencer, FRS	2
Eringen’s model via linearization of nonlocal hyperelasticity	2
Axisymmetric contact problem of piezoelectric coating-substrate system with functionally graded piezoelectric interfacial layer	2
Towards automated image-based cohesive zone modeling of cracking in irregular masonry	2
High-dimensional nonlinear Bayesian inference of poroelastic fields from pressure data	2
Spectral formulations in nonlinear solids: A brief summary	2
Electric–elastic analysis of multilayered two-dimensional decagonal quasicrystal circular plates with simply supported or clamped boundary conditions	2
Statistical prediction of bone microstructure degradation to study patient dependency in osteoporosis	2
Minimal surfaces and conservation laws for bidimensional structures	2
An extended Hill’s lemma for non-Cauchy continua based on the modified couple stress and surface elasticity theories	2
A problem for a material surface attached to the boundary of an elastic semi-plane	2
Identifying inclusions in a non-uniform thermally conductive plate under external flows and internal heat sources using topological optimization	2
Non-symmetric indentation of an elastic half-plane	1
A chemo-mechano-thermodynamical contact theory for adhesion, friction, and (de)bonding reactions	1
Chirality effects in panto-cylindrical structures	1
Erratum, Characterization of the symmetry class of an elasticity tensor using polynomial covariants	1
Identifying composition-mechanics relations in human brain tissue based on neural-network-enhanced inverse parameter identification	1
Membrane tension determines the geometry of donut-shaped transcellular holes	1
Lattice infill structure design of topology optimization considering size effect	1
The mathematics and mechanics of tug of war	1
On Spencer’s displacement function approach for problems in second-order elasticity theory	1