Mathematics and Mechanics of Solids

Article	Citations
Green’s functions of steady-state transversely isotropic hygro-thermo-magneto-piezoelectric cones	41
Transfer matrix for a weakly nonlocal elastic layer and Lamb waves in layered nonlocal composite plates	37
Centenary of two pioneering theories in mechanics	32
Bending of clamped orthotropic thin plates: polynomial solution	28
Fracture analysis of circular hole edge arbitrary position crack with surface effects in magnetoelectroelastic materials	28
Membrane tension determines the geometry of donut-shaped transcellular holes	26
On Spencer’s displacement function approach for problems in second-order elasticity theory	26
Seismic barriers filled with solid elastic and granular materials: Comparative analysis	25
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	24
A hemivariational damageable elastoplastic vertex-spring model for masonry analysis	23
Numerical methods in Poisson geometry and their application to mechanics	22
An elliptical inhomogeneity under nonuniform heat flux	22
Boundary and interface conditions in the relaxed micromorphic model: Exploring finite-size metastructures for elastic wave control	21
On Rayleigh wave field induced by surface stresses under the effect of gravity	20
Damped Normal Compliance (DNC) and the restitution coefficient	19
A Moore-Gibson-Thompson heat conduction problem with second gradient	19
An inverse application of unit cells for extracting fibre properties from effective properties of composites	17
On a dynamic frictional contact problem with normal damped response and long-term memory	17
Chirality effects in panto-cylindrical structures	17
A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies	17
Equipartition of energy in a helix	16
Effects of intracorneal ring segments on the biomechanical response of the ectatic cornea to air-puff: A patient-specific numerical analysis	16
The analysis and computation on nonlocal thermoelastic problems of blend composites via enriched second-order multi-scale computational method	16
Construction of piezoelectric and flexoelectric models of composites by asymptotic homogenization and application to laminates	16
A modified couple stress model to analyze the effect of size-dependent on thermal interactions in rotating nanobeams whose properties change with temperature	15

A theory of coupled strain-gradient plasticity with species transport at small deformations	15
Tensorial harmonic bases of arbitrary order with applications in elasticity, elastoviscoplasticity and texture-based modeling	15
Transient heat transfer analysis of a sandwich panel with a cracked honeycomb core	14
The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture	13
Towards a combined perfectly matching layer and infinite element formulation for unbounded elastic wave problems	13
Finite-strain Poynting–Thomson model: Existence and linearization	13
On governing equations for a nanoplate derived from the 3D gradient theory of elasticity	13
Notes on rate equations in nonlinear continuum mechanics	13
Exponential stability for a porous thermoelastic system of type II	13
A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part II - variational formulations and applications in plates	12
Growth-induced delamination of an elastic film adhered to a cylinder	12
Well-posedness of evolutionary differential variational–hemivariational inequalities and applications to frictional contact mechanics	11
Virtual element method for solving a viscoelastic contact problem with long memory	11
A simple method for mechanical analysis of pressurized functionally graded material thick-walled cylinder	11
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	11
RETRACTED: Thermal mechanical coupling analysis of two-dimensional decagonal quasicrystals with elastic elliptical inclusion	10
Preface to “Advances in mathematical theory of thin structures” in memory of Professor Petr E. Tovstik	10
An exact consistent tangent stiffness matrix for a second-gradient model for porous plastic solids: Derivation and assessment	10
Finite element study of V-shaped crack-tip fields in a three-dimensional nonlinear strain-limiting elastic body	10
A two-dimensional elastic contact problem with unilateral constraints	10
Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching	10
Identifying composition-mechanics relations in human brain tissue based on neural-network-enhanced inverse parameter identification	10
Dynamic amplification in a periodic structure with a transition zone subject to a moving load: Three different phenomena	10
Reduced model and nonlinear analysis of localized instabilities of residually stressed cylinders under axial stretch	10
Universal displacements in inextensible fiber-reinforced linear elastic solids	9
Basic errors in couple-stress hyperelasticity articles	9
Fractionalization of Forchheimer’s correction to Darcy’s law in porous media in large deformations	9
Topology optimisation for vibration bandgaps of periodic composite plates using the modified couple stress continuum	9
On the Kelvin–Voigt model in anisotropic viscoelasticity	9
Vibrational analysis of harmonic oscillator chains with random topological constraints	9
Mechanical attributes of fractal dragons	9
A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains	9
Surface instabilities of soft dielectric elastomers with implementation of electrode stiffness	9
Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas	8
Lattice infill structure design of topology optimization considering size effect	8
On the Sevostianov–Kachanov approximation for the incremental compliances of non-elliptical contacts	8
Non-symmetric indentation of an elastic half-plane	8
Sliding frictional contact problem of a layer indented by a rigid punch in couple stress elasticity	7
Characterization of framed curves arising from local isometric immersions	7
An inhomogeneous problem for an elastic half-strip: An exact solution	7
Laplace domain BEM for anisotropic transient elastodynamics	7
Asymptotic homogenization of flexoelectric composite plates with periodically varying thickness	7
Local material symmetry group for first- and second-order strain gradient fluids	7
Nonlinear elastic general integral equations in micromechanics of random structure composites	7
Matrix-embedded metamaterials: Applications for the architectural heritage	7
Debonding of an elastic layer with a cavity from a rigid substrate caused by rotation of a bonded rigid cylinder	7
The mathematics and mechanics of tug of war	7
A one-dimensional model for mechanical coupling metamaterials using couple stress theory	7
Remarks on bifurcation of an inflated and extended swellable isotropic tube	7
Application of Kirchhoff’s equations of motion to the dynamically coupled system of a rigid body with a completely-liquid-filled cavity	7

A chemo-mechano-thermodynamical contact theory for adhesion, friction, and (de)bonding reactions	7
Internal resonances of nanorods in presence of surface energy effect: Nonlinear torsional vibration	6
The effect of pore shape on the Poisson ratio of porous materials	6
Rules governing swarm robot in continuum mechanics	6
Couple-stress effects in a thin film bonded to a half-space	6
Identifying inclusions in a non-uniform thermally conductive plate under external flows and internal heat sources using topological optimization	6
Analysis of axisymmetric hollow cylinder under surface loading using variational principle	6
Erratum, Characterization of the symmetry class of an elasticity tensor using polynomial covariants	6
Connections between the morphoelastic treatment of growth-induced instabilities and earlier hyperelastic treatments of buckling under thrust	6
Electromechanics of lipid-modulated gating of potassium channels	6
On the incremental equations in surface elasticity	6
Screw dislocation pileups in a two-phase thin film	6
An analytical stress field for bi-material V-notches with end hole: New solution and effects of higher order terms	6
In recognition of the 80th birthday of Ray Ogden	6
Lagrange multipliers at the boundary in the inextensional bending theory of thin elastic shells	6
Uniform stresses inside both a non-parabolic inhomogeneity and a non-elliptical inhomogeneity located in the vicinity of a circular Eshelby inclusion	6
On the deformation of micromorphic elastic beams	5
Analytical solution to some boundary value problems of elasticity in bipolar coordinates	5
On the role of the invariant “I4” in conventional couple-stress hyperelasticity	5
Quasi-periodic asymptotic homogenization in the framework of strain gradient mechanics	5
Asymptotic theory for the inextensional flexure and twist of plastically deformed thin rods	5
Dynamic performance for piezoelectric bi-materials with an interfacial crack near an eccentric elliptical hole under anti-plane shearing	5
Suppressing thermal stress in the vicinity of a circular nano-inhomogeneity via the mechanism of size effects	5
Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids	5
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	5
Transient mode-III problem of the elastic matrix with a line inclusion	5
A theoretical method of mechanical analysis for a circular tunnel reinforced by fully grouted rock bolts	5
A general theory for anisotropic Kirchhoff–Love shells with in-plane bending of embedded fibers	5
An open-source implementation of a phase-field model for brittle fracture using Gridap in Julia	5
Enrichment of fiber-reinforced material models with dissipative effects	5
To Francesco dell’Isola	5
Estimating macroscopic conductivity of randomly elliptic inclusion model with imperfect interfaces	5
The electro-mechanics of piezoelectric coating structure under frictional contacts	5
Plate and beam moment-field formulation	5
Contact problem for an interface crack under action of a moving punch	5
A uniform framework for the dynamic behavior of linearized anisotropic elastic rods	5
Analysis of an anti-plane crack in a one-dimensional orthorhombic quasicrystal strip	5
The universal program of linear elasticity	4
Continuous distributions of certain defects in smectic mixtures	4
Dynamics of locally damped Timoshenko systems	4
Influence of internal stresses on stability of multilayer micropolar tubes	4
Contact behaviors involving a nanobeam with surface effect by a rigid indenter	4
Nonlocal vibration of functionally graded nanoplates using a layerwise theory	4
An objective and accurate G1-conforming mixed Bézier FE-formulation for Kirchhoff–Love rods	4
Retraction Notice: Thermal mechanical coupling analysis of two-dimensional decagonal quasicrystals with elastic elliptical inclusion	4
Buckling of a column made of the functionally graded material with high-order polynomial mode shape	4
Model anisotropic materials with ellipsoidal wave surfaces and their application to determination of elastic constants by acoustical methods	4
A thermodynamical model for paleomagnetism in Earth’s crust	4
On tangent geometry and generalised continuum with defects	4
A slender body theory for the motion of special Cosserat filaments in Stokes flow	4
Quadratic-stretch elasticity	4
Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation	4
A symmetric liquid lip inclusion in an infinite isotropic elastic matrix	4
Elastodynamics of a coated half-space under a sliding contact	4
Effective nonlocal behavior of peridynamic random structure composites subjected to body forces with compact support and related prospective problems	4
Investigating wave transmission and reflection phenomena in pantographic lattices using a second-gradient continuum model	4
Stimuli-responsive shell theory	4
Dynamics of thermoelastic half-plane by action of periodic loads and heat flows at its boundary	4
Effect of nanoscale amorphization on dislocation emission from a semi-elliptical surface crack tip in nanocrystalline materials	4
A model for residually stressed viscoelastic bodies and its application to some boundary value problems	4
On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization	4
Reflection of temperature rate–dependent coupled thermoelastic waves on a non-local elastic half-space	4
Clarification of Faber series and related applications to complex variable methods in two-dimensional elasticity	4
A Timoshenko–Ehrenfest planar beam element for geometrically nonlinear analysis using rational Bézier representations with varying weights	4
Linear elastic diatomic multilattices: Three-dimensional constitutive modeling and solutions of the shift vector equation	3
Reflection phenomena of thermoelastic plane waves on a rigid surface within a size-dependent elastic media	3
On the statics and dynamics of granular-microstructured rods with higher order effects	3
On a three-phase-lag heat conduction model for rigid conductor	3
Elastic body with thin nonhomogeneous inclusion in non-coercive case	3
Flexoelectricity and the entropic force between fluctuating fluid membranes	3
Characterization of the material behavior and identification of effective elastic moduli based on molecular dynamics simulations of coarse-grained silica	3
Variety of fiber orientation tensors	3
Biomimetic torene shells	3
Dynamics of pantographic sheet around the clamping region: experimental and numerical analysis	3
An analytic solution of an arbitrary location through-crack emanating from a nano-circular hole in one-dimensional hexagonal piezoelectric quasicrystals	3
Second-gradient continua: From Lagrangian to Eulerian and back	3
An analytical solution for the orthotropic semi-infinite plane with an arbitrary-shaped hole	3
Long-time dynamics of a class of nonlocal extensible beams with time delay	3
Circular inclusion with a refined linearized version of Steigmann–Ogden model	3
Nonlinear viscoelastic damping in a Poynting oscillator	3

Stability analysis of thin cylindrical shells under pure and three-point bending	3
Stress concentration around a circular rigid inclusion in incompressible nonlinearly elastic transversely isotropic and orthotropic thin sheets under uniaxial extension	3
The Lokhin–Sedov table revisited: Tensor form of anisotropic elastic moduli for all symmetry groups	3
Uniformity of anti-plane stresses inside a nonlinear elastic elliptical or parabolic inhomogeneity	3
Higher order imperfect interface models of conductive spherical interphase	3
An extended Hill’s lemma for non-Cauchy continua based on the modified couple stress and surface elasticity theories	3
Anisotropic imperfect interface in elastic particulate composite with initial stress	3
Explicit solutions in Cartesian coordinates for an elliptic hole in an infinite elastic plate	3
Stability signatures for porous thermoelasticity with microtemperature and without temperature	3
Discrete observability of the Bresse system	3
Analytical buckling load formulas for cylindrical shell structures with variable thickness under non-uniform external pressure	3
Geometric structures of micropolar continuum with elastic and plastic deformations based on generalized Finsler space	3
Flexural–torsional modeling and equilibria of three-dimensional axially moving beams	3
A historical overview on static and dynamic analyses of sandwich or partially composite beams and plates	3
Approximation of dissipative systems by elastic chains: Numerical evidence	3
The effect of local random defects on the response of pantographic sheets	3
On shear motions in nonlinear transverse isotropic elastodynamics	3
Applications of vector bundle to finite elasto-plasticity	3
Statistical prediction of bone microstructure degradation to study patient dependency in osteoporosis	3
Solution of planar elastic stress problems using stress basis functions	3
Numerical modeling of residual stresses in additive manufacturing products using the theory of repeatedly superimposed finite strains	2
Computational integration and experimental validation of a two-length scale model for accurate prediction of steels’ plastic behavior during phase transformation	2
Using asymptotic homogenization to determine effective thermo-viscoelastic properties of fibrous composites with interphase layer	2
Static condensation of peridynamic heat conduction model	2
A refined model for the buckling of film/substrate bilayers	2
Robust topology optimization of truss-like continuum structures under uncertain loads based on cloud model	2
Asymptotic behavior of the Rao–Nakra sandwich beam model with Kelvin–Voigt damping	2
Intrinsic formulation of the Kirchhoff–Love theory of nonlinearly elastic plates	2
A hidden convexity in continuum mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity	2
Transient thermo-mechanical analysis of a spherical microshell based on the three-phase-lag thermoelasticity incorporating small-scale and memory-dependent effects	2
Mode-III fracture of four cracks emanating from an elliptical hole in one-dimensional orthorhombic quasicrystals with piezoelectric effect	2
The ductile/brittle transition of polycrystalline aggregates in terms of their single crystal cubic properties	2
Homogenization of a coupled electrical and mechanical bidomain model for the myocardium	2
On the receding contact between a graded and a homogeneous layer due to a flat-ended indenter	2
Large deformation of soft dielectric cylindrical tubes under external radial electric field	2
Analysis of radial expansion, eversion, and cavitation of soft functionally graded material spheres	2
A variational principle in flexo-electromagnetism with an application to electromagnetic wave generation from flexoelectric plates	2
Solution for elliptic inclusion in an infinite plate with remote loading and Eshelby’s eigenstrain of polynomial type	2
Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters	2
A peridynamic formulation for planar arbitrarily curved beams with Timoshenko–Ehrenfest beam model	2
Change of reference configuration in nonlinear elasticity: Perpetuation of a basic error	2
Plane-stress analysis of a holed membrane at finite equibiaxial stretch	2
Interfacial wave propagation in initially stressed compressible hyperelastic materials	2
Electrical analogs of curved beams and application to piezoelectric network damping	2
Continuum mechanics versus the mathematical analysis of its differential equations: In Memoriam Tony Spencer	2
Notes on optimal flux fields	2
A temperature problem for a square: An exact solution	2
Three-dimensional quasi-static general solution for isotropic chemoelastic materials and their application	2
Bespoke two-dimensional elasticity and the nonlinear analogue of Cauchy’s relations	2
Measurement of two-dimensional residual stress in nanocrystalline superelastic NiTi fabricated with pre-strain laser shock peening	2
A computational multiscale approach towards the modelling of microstructures with material interfaces in electrical conductors	2
A coated hypotrochoidal compressible liquid inclusion neutral to a hydrostatic stress field after relaxation by interface slip and diffusion	2
Effective properties of multi-laminated micropolar composites with Fibonacci and random structures	2
Modelling flexural wave propagation by the nonlocal strain gradient elasticity with fractional derivatives	2
A temporal averaging–based approach to toughness homogenisation in heterogeneous material	2
Eringen’s model via linearization of nonlocal hyperelasticity	2
Reflection and refraction of plane wave at the junction of two dissimilar pre-stressed functionally graded piezothermoelastic media under different interfacial conditions	2
Homogenization of nonlinear Cosserat plate including growth theory when the thickness of the plate and the size of the in-plane heterogeneities are of the same order of magnitude	2
Stress intensity factors and full-field stresses for a hypocycloid-type crack within a thermo-elastic material	2
Towards automated image-based cohesive zone modeling of cracking in irregular masonry	2
Three-dimensional analytical solutions to the half infinite thermo-elastic body pressed by a rigid cylindrical structure in thermal environment	2
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	2
In memory of Prof. Hui-Hui Dai	2
Material swelling with partial confinement in the internally balanced generalization of hyperelasticity	2
Research on the stress intensity factor calculation of multi-elliptical hole-edge crack	2
A direct method for wave propagation in elastic fiber composites	2
A second-order model of small-strain incompatible elasticity	2
Rayleigh waves in thermoelasticity: Triple porous media in local thermal non-equilibrium	2
A partially debonded rigid elliptical inclusion with a liquid slit inclusion occupying the debonded portion	2
On prismatic and bending bifurcations of fiber-reinforced elastic membranes under swelling with application to aortic aneurysms	2
Spectral formulations in nonlinear solids: A brief summary	2
Exterior diffraction problems for a triangular lattice	2
Predicting and explaining nonlinear material response using deep physically guided neural networks with internal variables	2
Extended Dummy Node Rule for analysis and characterization of pin-jointed periodic cellular materials: An approach based on Bloch-wave method	2
Energy distribution of bifurcated waveguide structure with planar and non-planar surfaces	2
Impact response of a thin shallow doubly curved linear viscoelastic shell rectangular in plan	2
Consistent Euler–Bernoulli beam theory in statics for gradient elasticity based on Laplacians of stress and strain	2
Stability of the critical equilibrium of a compressed column on a Winkler foundation	2
An asymptotic modeling and resolution framework for morphology evolutions of multiple-period post-buckling modes in bilayers	2
Second gradient continuum model for anisotropic elastic and piezoelectric structures calibrated based on phonon dispersion relations	2
About the number of hinges at failure of semicircular and pointed masonry arches	1
On the stochastic parametric resonance of a rate-type viscoelastic string	1
Dispersive surface waves propagating through a continuous elastic medium with local rotation	1
Stress concentration due to an elliptic hole in a porous elastic plate	1
New classes of linearizable hyperelastic compressible materials	1
Coupled torsion and inflation of functionally graded and residually stressed Mooney–Rivlin hollow cylinders	1
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables	1
Stability to the finite disturbance of the critical equilibrium for three struts	1
On a consistent rod theory for a linearized anisotropic elastic material II. Verification and parametric study	1
Stochastic mesoscale mechanical modeling of metallic foams	1
Response of a thin coating of a porous elastic material whose generalised Young’s modulus depends on the density	1
Three-dimensional thermo-electro-elastic field in one-dimensional hexagonal piezoelectric quasi-crystal weakened by an elliptical crack	1
Study on plastic yield surfaces of pyramidal lattice materials with circular and rectangular cross-sections	1
Resistivity contribution tensor for two non-conductive overlapping spheres having different radii	1
Existence theorems for nonlinear shell models of Koiter’s type	1