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	78
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution	56
Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?	52
Stiffness optimization in nonlinear pantographic structures	41
A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part I – reconsideration of curvature-based flexoelectricity theory	31
Computation of brittle fracture propagation in strain gradient materials by the FEniCS library	28
A domain of influence theorem under MGT thermoelasticity theory	28
An implicit constitutive relation for describing the small strain response of porous elastic solids whose material moduli are dependent on the density	28
On a new class of non-Gaussian molecular-based constitutive models with limiting chain extensibility for incompressible rubber-like materials	24
Second-gradient continua: From Lagrangian to Eulerian and back	24
Out-of-plane deformation reduction via inelastic hinges in fibrous metamaterials and simplified damage approach	24
The effect of a pre-existing nanovoid on martensite formation and interface propagation: a phase field study	24
Lagrangian descriptions of dissipative systems: a review	21
Finite element formulations for constrained spatial nonlinear beam theories	21
The effect of pore shape on the Poisson ratio of porous materials	20
Bending analysis of functionally graded porous nanocomposite beams based on a non-local strain gradient theory	20
Electrical analogs of curved beams and application to piezoelectric network damping	20
A new isogeometric Timoshenko beam model incorporating microstructures and surface energy effects	18
Investigating infill density and pattern effects in additive manufacturing by characterizing metamaterials along the strain-gradient theory	18
Nonlocal vibration of functionally graded nanoplates using a layerwise theory	18
Variety of fiber orientation tensors	17
Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders	17
Peridynamics boundary condition treatments via the pseudo-layer enrichment method and variable horizon approach	16
Boundary and interface conditions in the relaxed micromorphic model: Exploring finite-size metastructures for elastic wave control	16
Asymptotic stability for a laminated beam with structural damping and infinite memory	16

A numerical investigation on impulse-induced nonlinear longitudinal waves in pantographic beams	15
Modelling flexural wave propagation by the nonlocal strain gradient elasticity with fractional derivatives	15
On the decay of the energy for radial solutions in Moore–Gibson–Thompson thermoelasticity	15
A non-classical model for first-ordershear deformation circular cylindrical thin shells incorporating microstructure and surface energy effects	14
Shear rupture mechanism and dissipation phenomena in bias-extension test of pantographic sheets: Numerical modeling and experiments	14
In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results	13
A 3D extension of pantographic geometries to obtain metamaterial with semi-auxetic properties	13
Commented translation of Erwin Schrödinger’s paper ‘On the dynamics of elastically coupled point systems’ (Zur Dynamik elastisch gekoppelter Punktsysteme)	12
On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization	12
Characterization of the symmetry class of an elasticity tensor using polynomial covariants	12
The effect of local random defects on the response of pantographic sheets	12
A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: Clamped rectangular incompressible elastic plates	12
A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies	12
On the extension of the mode-matching procedure for modeling a wave-bearing cavity	11
Porous and cracked rocks elasticity: Macroscopic poroelasticity and effective media theory	11
An updated Lagrangian Bézier finite element formulation for the analysis of slender beams	11
Axisymmetric frictionless indentation of a rigid stamp into a semi-space with a surface energetic boundary	10
The effect of pore sizes on the elastic behaviour of open-porous cellular materials	10
An open-source implementation of a phase-field model for brittle fracture using Gridap in Julia	10
Stepwise analysis of pantographic beams subjected to impulsive loads	10
On a consistent rod theory for a linearized anisotropic elastic material: I. Asymptotic reduction method	10
A state-based peridynamic formulation for functionally graded Kirchhoff plates	10
On the contact problem of a moving rigid cylindrical punch sliding over an orthotropic layer bonded to an isotropic half plane	10
Riemannian and Euclidean material structures in anelasticity	10
Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation	10
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	10
On weak solutions of the boundary value problem within linear dilatational strain gradient elasticity for polyhedral Lipschitz domains	9
Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters	9
Dynamics of pantographic sheet around the clamping region: experimental and numerical analysis	9
Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)	9
A review of de Broglie particle–wave mechanical systems	9
Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas	9
Landweber–Fridman algorithms for the Cauchy problem in steady-state anisotropic heat conduction	9
Rayleigh wave in layered piezoelectric semiconductor with consideration of PN junction effects	9
Influence of non-local diffusion in avascular tumour growth	9
Local sensitivity analysis of the “membrane shape equation” derived from the Helfrich energy	8
On prismatic and bending bifurcations of fiber-reinforced elastic membranes under swelling with application to aortic aneurysms	8
A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation	8
Local material symmetry group for first- and second-order strain gradient fluids	8
A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint	8
Static condensation of peridynamic heat conduction model	8
Construction of piezoelectric and flexoelectric models of composites by asymptotic homogenization and application to laminates	8
A theoretical scheme for shape-programming of thin hyperelastic plates through differential growth	8
On the receding contact between a graded and a homogeneous layer due to a flat-ended indenter	8
Dual percolations of electrical conductivity and electromagnetic interference shielding in progressively agglomerated CNT/polymer nanocomposites	8
A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part II - variational formulations and applications in plates	8
A note on viscoelastic bodies whose material properties depend on the density	7
A phase-field model for electro-mechanical fracture with an open-source implementation of it using Gridap in Julia	7
Theoretical solution for the axial vibration of functionally graded double-lap adhesive joints	7
Surface and interfacial anti-plane waves in micropolar solids with surface energy	7

Elastic and elasto-plastic analysis of Ti6Al4V micro-lattice structures under compressive loads	7
Fiber orientation distributions based on planar fiber orientation tensors of fourth order	7
Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization	7
Evolution of bone tissue based on angiogenesis as a crucial factor: New mathematical attempt	7
Four states of matter and centrally symmetric de Broglie particle–wave mechanical systems	7
Flexoelectricity and the entropic force between fluctuating fluid membranes	7
Elastoplastic analysis in functionally graded thick-walled rotating transversely isotropic cylinder under a radial temperature gradient and uniform pressure	7
Peridynamic modelling of higher order functionally graded plates	7
Stress concentration due to an elliptic hole in a porous elastic plate	7
Model order reduction of linear peridynamic systems using static condensation	7
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method	7
A temporal averaging–based approach to toughness homogenisation in heterogeneous material	7
Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching	6
Analysis of randomly damaged triangular beam lattice: elastic field and effective properties	6
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach	6
A phase-field model for thermo-mechanical fracture	6
Exact solution of a 2D problem of thermoelasticity without energy dissipation for an infinitely long cylinder	6
Energy distribution of bifurcated waveguide structure with planar and non-planar surfaces	6
Compatibility conditions of continua using Riemann–Cartan geometry	6
Elastohydrodynamic lubrication line contact in couple-stress elasticity	6
Limit analysis of masonry domes with oculus and lantern: A comparison between different approaches	6
Electromechanical fields in a hollow piezoelectric cylinder under non-uniform load: flexoelectric effect	6
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables	6
Polynomial stability for the equations of porous elasticity in one-dimensional bounded domains	6
Quadratic-stretch elasticity	6
Unusual deformation patterns in a second-gradient cylindrical lattice shell: Numerical experiments	6
Two-field variational formulations for a class of nonlinear mechanical models	6
Ramberg–Osgood material behavior expression and large deflections of Euler beams	6
Two versions of the extended Hill’s lemma for non-Cauchy continua based on the couple stress theory	6
Interdiffusion in many dimensions: mathematical models, numerical simulations and experiment	6
On the statics and dynamics of granular-microstructured rods with higher order effects	6
Anisotropic imperfect interface in elastic particulate composite with initial stress	5
Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids	5
Centenary of two pioneering theories in mechanics	5
Anisotropic stress softening of electromagnetic Mullins materials	5
Asymptotically correct boundary conditions for the higher-order theory of plate bending	5
Experimental analysis, discrete modeling and parameter optimization of SLS-printed bi-pantographic structures	5
Post-buckling of an elastic half-space coated by double layers	5
Investigating wave transmission and reflection phenomena in pantographic lattices using a second-gradient continuum model	5
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	5
Some comparisons between heterogeneous and homogeneous layers for nonlinear SH waves in terms of heterogeneous and nonlinear effects	5
Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness – Part II: determination of the spherical part of the couple-stress	5
Expressions of nonlocal quantities and application to Stoneley waves in weakly nonlocal orthotropic elastic half-spaces	5
A refined model for the buckling of film/substrate bilayers	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
Elastodynamics of a coated half-space under a sliding contact	5
A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains	5
Veering of Rayleigh–Lamb waves in orthorhombic materials	5
Asymptotic derivation of refined dynamic equations for a thin elastic annulus	5
High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales	5
A model for a solid undergoing rate-independent dissipative mechanical processes	5
On the equilibrium of multiply-connected elastic bodies	4
Three-dimensional thermo-electro-elastic field in one-dimensional hexagonal piezoelectric quasi-crystal weakened by an elliptical crack	4
Lower bound limit and shakedown analysis of orthotropic material	4
Plane waves in microstretch elastic solid with voids	4
A slender body theory for the motion of special Cosserat filaments in Stokes flow	4
A damaged non-homogeneous Timoshenko beam model for a dam subjected to aging effects	4
Seismic barriers filled with solid elastic and granular materials: Comparative analysis	4
Uniformity of the Green operator and Eshelby tensor for hyperboloidal domains in infinite media	4
A simplified metaelastic model for coated sphere-filled random composites	4
Parametric analysis of masonry arches following a limit analysis approach: Influence of joint friction, pier texture, and arch shallowness	4
Fluid–structure coupled response of dynamical surfaces tailored in a flexible shell	4
Electric features of dislocations and electric force between dislocations	4
A thermodynamical model for paleomagnetism in Earth’s crust	4
On Rayleigh wave field induced by surface stresses under the effect of gravity	4
The pull-in instability and eigenfrequency variations of a graphene resonator under electrostatic loading	4
An experimental study of morphological formation in bilayered tubular structures driven by swelling/growth	4
Novel porous structures with non-cubic symmetry: Synthesis, elastic anisotropy, and fatigue life behavior	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
Rocking forced displacement of a rigid disc embedded in a functionally graded transversely isotropic half-space	4
Surface instabilities of soft dielectric elastomers with implementation of electrode stiffness	4
Asymptotic behavior of the solution of an axisymmetric problem of elasticity theory for a sphere with variable elasticity modules	4
A holed-plate with material dislocations: Formulation and verification	3
Interaction between an edge dislocation and a circular incompressible liquid inclusion	3
Finite element study of V-shaped crack-tip fields in a three-dimensional nonlinear strain-limiting elastic body	3
On a consistent rod theory for a linearized anisotropic elastic material II. Verification and parametric study	3
A new model of bone remodeling and turnover set up in the framework of generalized continuum mechanics	3
Decomposition of third-order constitutive tensors	3
Predicting peak stresses in microstructured materials using convolutional encoder–decoder learning	3

Upscaling and spatial localization of non-local energies with applications to crystal plasticity	3
A generalized mechanical model using stress–strain duality at large strain for amorphous polymers	3
Homogenization of the wave equation with non-uniformly oscillating coefficients	3
Linear peridynamics for triclinic materials	3
Phase field model for electrically induced damage using microforce theory	3
Sliding frictional contact problem of a layer indented by a rigid punch in couple stress elasticity	3
Modeling the degeneration of the collagen architecture in a microstructural model of the human cornea	3
Multicoated elastic inhomogeneities of arbitrary shape neutral to multiple fields	3
A general contact stiffness model for elastic bodies and its application in time-varying mesh stiffness of gear drive	3
Application of micropolar theory to the description of the skin effect due to hydrogen saturation	3
On variational principles in coupled strain-gradient elasticity	3
Variational principles of nonlinear magnetoelastostatics and their correspondences	3
The effect of surface free energy on the fracture behaviors of nanoparticle-reinforced composites	3
Interfacial delamination-induced unidirectional propagation of guided waves in multilayered media	3
Reflection and refraction of plane wave at the junction of two dissimilar pre-stressed functionally graded piezothermoelastic media under different interfacial conditions	3
Effective nonlocal behavior of peridynamic random structure composites subjected to body forces with compact support and related prospective problems	3
Three alternative versions of the theory for a Timoshenko–Ehrenfest beam on a Winkler–Pasternak foundation	3
Approximation of dissipative systems by elastic chains: Numerical evidence	3
Gradient plasticity in isotropic solids	3
The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture	3
Fractional derivative modeling of time-varying viscosity materials considering initial loading ramp in real experiments	3
A new approach to curvature measures in linear shell theories	3
Effects of a tilted flat-ended punch on the receding contact between a graded and a homogeneous layer	3
A poroelasticity model for interstitial fluid flow and matrix deformation in a non-homogeneous solid tumor	3
Lateral buckling of drill strings revisited: localised “snaking”	3
Feedback control for non-stationary 3D Navier–Stokes–Voigt equations	3
Modeling and analysis of a magnetoelastic annular membrane placed in an azimuthal magnetic field	3
Critical velocities and displacements of anisotropic tubes under a moving pressure	3
Logarithmic convexity for third order in time partial differential equations	3
Diffuse approximation for identification of the mechanical properties of microcapsules	3
Characterization of the material behavior and identification of effective elastic moduli based on molecular dynamics simulations of coarse-grained silica	3
The universal program of linear elasticity	3
The effect of material anisotropy on the mechanics of a thin-film/substrate system under mechanical and thermal loads	3
A theoretical method of mechanical analysis for a circular tunnel reinforced by fully grouted rock bolts	3
Experimental and numerical investigation of the deformation behaviour of cables and thin beam-like structures under multi-axial loading	3
Matrix-embedded metamaterials: Applications for the architectural heritage	3
Digital image correlation analyses of masonry infilled frame: Uncertainty-based mesh refinement and damage quantification	3
Modelling and analysis of piezoelectric actuators with partially debonded adhesive layers	3
Minimal surfaces and conservation laws for bidimensional structures	2
Dynamics of locally damped Timoshenko systems	2
A novel reduced model for a linearized anisotropic rod with doubly symmetric a cross-section: I. Theory	2
Model anisotropic materials with ellipsoidal wave surfaces and their application to determination of elastic constants by acoustical methods	2
On the Kelvin–Voigt model in anisotropic viscoelasticity	2
Local gradient Bernoulli–Euler beam model for dielectrics: effect of local mass displacement on coupled fields	2
Towards a combined perfectly matching layer and infinite element formulation for unbounded elastic wave problems	2
A problem for a material surface attached to the boundary of an elastic semi-plane	2
The analysis and computation on nonlocal thermoelastic problems of blend composites via enriched second-order multi-scale computational method	2
History-dependent fractional hemivariational inequality with time-delay system for a class of new frictionless quasistatic contact problems	2
On governing equations for a nanoplate derived from the 3D gradient theory of elasticity	2
Plane-polarised finite-amplitude shear waves in deformed incompressible materials	2
Magnetically induced electromechanical fields in a flexoelectric composite microplate	2
Impact response of a thin shallow doubly curved linear viscoelastic shell rectangular in plan	2
An analytical model for nanoscale flexoelectric doubly curved shells	2
Topology optimization design for buckling analysis related to the size effect	2
An extended Hill’s lemma for non-Cauchy continua based on the modified couple stress and surface elasticity theories	2
Effects of Schottky junction on surface waves in a piezoelectric semiconducting film over a metal substrate	2
The Neumann problem in plane deformations of a micropolar elastic solid with micropolar surface effects	2
Transient non-Fourier thermoelastic fracture analysis of a cracked orthotropic functionally graded strip	2
Analytical buckling load formulas for cylindrical shell structures with variable thickness under non-uniform external pressure	2
Macrohomogeneity condition for strain gradient homogenization of periodic heterogeneous media with interfacial strong discontinuities	2
Reduced algebraic conditions for plane or axial tensorial symmetries	2
Dynamic amplification in a periodic structure with a transition zone subject to a moving load: Three different phenomena	2
Localized necking and bulging of finitely deformed residually stressed solid cylinder	2
A one-dimensional model for mechanical coupling metamaterials using couple stress theory	2
A mode I crack with multiple islands of ideal contact between the crack faces: An asymptotic model	2
An analysis of lipid membrane morphology in the presence of coordinate-dependent non-uniformity	2
Nonlinear deformations of a cylindrical pipe with pre-stressed thin coatings	2
On the Sevostianov–Kachanov approximation for the incremental compliances of non-elliptical contacts	2
Constitutive modeling of three-dimensional monoatomic linear elastic multilattices	2
Dual fat boundary method: the fat boundary method in elasticity with an extension of the application scope	2
Understanding the role of interfacial mechanics on the wrinkling behavior of compressible bilayer structures under large plane deformations	2
Dynamic continualization of masonry-like structured materials	2
Modeling the dynamic bending of rigid-plastic fiber-reinforced laminated curvilinear doubly connected thin plates with free outer contour	2
Convergence performance of flexural wave in the unconventional acoustic black hole	2
Effect of a thermodynamically consistent interface stress on thermal-induced nanovoid evolution in NiAl	2
Investigation of the influence of nano-sized particles on the entanglement distribution of a generic polymer nanocomposite using molecular dynamics	2
Dynamic performance for piezoelectric bi-materials with an interfacial crack near an eccentric elliptical hole under anti-plane shearing	2
Hilbert transform approach to solve a problem of collinear Griffith crack in the mid-plane of an infinite orthotropic strip	2
Statistical prediction of bone microstructure degradation to study patient dependency in osteoporosis	2
Wave propagation in micromorphic anisotropic continua with an application to tetragonal crystals	2
Periodic tilings and auxetic deployments	2
An analytical stress field for bi-material V-notches with end hole: New solution and effects of higher order terms	2
Effective properties of heterogeneous materials as functions of contrast between properties of constituents	2
Asymptotic homogenization of flexoelectric composite plates with periodically varying thickness	2
Characteristic foliations of material evolution: from remodeling to aging	2
Bending of clamped orthotropic thin plates: polynomial solution	2
Partial slip contact analysis for a monoclinic half plane	2
Rules governing swarm robot in continuum mechanics	2
Prediction of bone microstructures degradation during osteoporosis with fuzzy cellular automata algorithm	2
A study on an incompressible polymeric pressurized vessel subjected to bulk degradation	2
Intrinsic formulation of the Kirchhoff–Love theory of nonlinearly elastic plates	2
Geometric description of time-dependent finite-dimensional mechanical systems	2
The ductile/brittle transition of polycrystalline aggregates in terms of their single crystal cubic properties	2
Electric–elastic analysis of multilayered two-dimensional decagonal quasicrystal circular plates with simply supported or clamped boundary conditions	2
A general theory for anisotropic Kirchhoff–Love shells with in-plane bending of embedded fibers	2