Mathematics and Mechanics of Solids

Article	Citations
On the representation of fourth- and higher-order anisotropic elasticity tensors in generalized continuum models	41
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	34
Basic errors in couple-stress hyperelasticity articles	29
The mathematics and mechanics of tug of war	29
Sliding frictional contact problem of a layer indented by a rigid punch in couple stress elasticity	28
Exponential stability for a porous thermoelastic system of type II	27
A theory of coupled strain-gradient plasticity with species transport at small deformations	26
Damped Normal Compliance (DNC) and the restitution coefficient	22
Green’s functions of steady-state transversely isotropic hygro-thermo-magneto-piezoelectric cones	22
Effects of intracorneal ring segments on the biomechanical response of the ectatic cornea to air-puff: A patient-specific numerical analysis	21
Remarks on bifurcation of an inflated and extended swellable isotropic tube	20
On governing equations for a nanoplate derived from the 3D gradient theory of elasticity	20
On the Rayleigh wave velocity in n -type piezoelectric semiconductors with enhanced flexoelectricity	18
The effect of pore shape on the Poisson ratio of porous materials	18
Mechanical attributes of fractal dragons	17
Retraction Notice: Thermal mechanical coupling analysis of two-dimensional decagonal quasicrystals with elastic elliptical inclusion	17
A general theory for anisotropic Kirchhoff–Love shells with in-plane bending of embedded fibers	16
Buckling of a column made of the functionally graded material with high-order polynomial mode shape	16
Model anisotropic materials with ellipsoidal wave surfaces and their application to determination of elastic constants by acoustical methods	16
Nonlocal vibration of functionally graded nanoplates using a layerwise theory	16
On the role of the invariant “I4” in conventional couple-stress hyperelasticity	15
Mode-III fracture of four cracks emanating from an elliptical hole in one-dimensional orthorhombic quasicrystals with piezoelectric effect	15
Large deformation of soft dielectric cylindrical tubes under external radial electric field	15
Asymptotic theory for the inextensional flexure and twist of plastically deformed thin rods	14
Analytical buckling load formulas for cylindrical shell structures with variable thickness under non-uniform external pressure	13

Spectral formulations in nonlinear solids: A brief summary	13
Contact behaviors involving a nanobeam with surface effect by a rigid indenter	13
Elastic body with thin nonhomogeneous inclusion in non-coercive case	13
Robust topology optimization of truss-like continuum structures under uncertain loads based on cloud model	12
Consistent Euler–Bernoulli beam theory in statics for gradient elasticity based on Laplacians of stress and strain	12
On the theory of sandwich shells, plates, and beams with light core	12
Non-classical theory of electro-thermo-elasticity incorporating local mass displacement and nonlocal heat conduction	12
Three-dimensional analytical solutions to the half infinite thermo-elastic body pressed by a rigid cylindrical structure in thermal environment	12
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method	12
Using asymptotic homogenization to determine effective thermo-viscoelastic properties of fibrous composites with interphase layer	11
Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters	11
A problem of thermo-magnetoelasticity for a system of parallel electrical conductors by Cartesian harmonic polynomials and rational functions	11
Impact contact mechanical characteristics assessment of piezoelectric material using the semi-analytical method	11
Linear spring model to analyse the effect of interfacial imperfection on the propagation and attenuation of Love-type waves in viscoelastic-FGPM bedded structure	11
Exact solutions of the theory of elasticity for a clamped rectangle	11
Electrical analogs of curved beams and application to piezoelectric network damping	10
Porous and cracked rocks elasticity: Macroscopic poroelasticity and effective media theory	10
Intrinsic structure of the cotangent bundle of a locally Euclidean differential space	10
Computational integration and experimental validation of a two-length scale model for accurate prediction of steels’ plastic behavior during phase transformation	10
On admissible external loadings within the first and second strain gradient elasticity	10
Asymptotically correct boundary conditions for the higher-order theory of plate bending	10
Examining avascular tumour growth dynamics: A variable-order non-local modelling perspective	10
Metal plasticity and nonlocal damage modeling: A thermodynamically consistent GSM approach with computational implications	10
A problem for a material surface attached to the boundary of an elastic semi-plane	10
On the representation of solutions and the propagation of plane waves under strain gradient theory with dual-phase-lag thermoelasticity	9
Flexural–torsional buckling with enforced axis of twist and related problems	9
Approximate determination of shear stresses for a 2D beam made of a non-Green elastic solid	9
Evolution of bone tissue based on angiogenesis as a crucial factor: New mathematical attempt	9
Critical velocities of a three-layer composite tube incorporating the rotary inertia and material anisotropy	9
Tensor decomposition for modified quasi-linear viscoelastic models: Towards a fully non-linear theory	8
Analysis of Berger nonlinear elastic static plate bending of rectangular plates	8
Stress solution for an arbitrarily shaped tunnel with a neighboring circular cavity	8
New classes of linearizable hyperelastic compressible materials	8
Quadratically nonlinear interactions of shear elastic waves in fiber-reinforced orthotropic materials	8
A phase-field model for thermo-mechanical fracture	8
A mixed trigger volumetric growth law for cylindrical deformation in stressed configurations	8
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables	8
Coupled torsion and inflation of functionally graded and residually stressed Mooney–Rivlin hollow cylinders	8
On a consistent rod theory for a linearized anisotropic elastic material II. Verification and parametric study	8
A holed-plate with material dislocations: Formulation and verification	7
An amended approximation of the non-Gaussian probability distribution function	7
Interaction between an edge dislocation and a circular elastic inhomogeneity with Steigmann–Ogden interface	7
Identification of an elliptic void in a piezoelectric layer by two types of loads	7
Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization	7
A note on the Hill–Ogden generalised strains	7
Finite element analysis of materially uniform dielectric elastomers	7
Veering of Rayleigh–Lamb waves in orthorhombic materials	7
Modeling the degeneration of the collagen architecture in a microstructural model of the human cornea	7
Hydroelastic analysis of partially or totally immersed Mindlin plates with a hybrid isogeometric-based approach	7
Dynamic fracture of a partially permeable crack in a functionally graded one-dimensional hexagonal piezoelectric quasicrystal under a time-harmonic elastic SH-wave	7

A one-pass predictor-corrector algorithm for the inverse Langevin function	7
About the structure of the discrete and continuous Eringen’s nonlocal elastica	7
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach	6
Finite deformation modeling of wrinkling in thin magnetoelastic sheets	6
A PSO-based computational framework to design active noise cancelation systems for smart vehicle enclosures	6
Addendum to “fourth-order tensor calculus operations and application to continuum mechanics”	6
Lateral buckling of drill strings revisited: localised “snaking”	6
Intrinsic Marguerre–von Kármán equations	6
Special issue: “Integrated approaches for the mechanics of masonry structures: Novel strategies for experimental characterization, mathematical modelling and computer simulations”	6
Existence of time-dependent attractor of wave equation in locally uniform space	6
Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric bi-material strip	6
Time discretization in visco-elastodynamics at large displacements and strains in the Eulerian frame	6
A general contact stiffness model for elastic bodies and its application in time-varying mesh stiffness of gear drive	6
Refined conditions for nonlocal micropolar wave propagation in layered media	6
A non-ordinary state decomposition method for three-body potential peridynamics model	6
Asymptotic long-wave model for a high-contrast two-layered elastic plate	6
A Volterra edge dislocation problem in second-order elasticity theory	5
Higher order asymptotic homogenization for dynamical problems	5
In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results	5
On a dynamic frictional contact problem with normal damped response and long-term memory	5
Surface instabilities of soft dielectric elastomers with implementation of electrode stiffness	5
A compressible liquid inclusion of arbitrary shape in an isotropic elastic matrix	5
Reflection of plane waves from the free surface of a hard sphere-filled elastic metacomposite	5
Real-form solution for an anisotropic elastic elliptical inhomogeneity under uniform heat flux	5
Mesoscale analysis of fracture process in brick masonry structures	5
Analysis of randomly damaged triangular beam lattice: elastic field and effective properties	5
Analysis of a parabolic bilateral obstacle problem with non-monotone relations in the domain	5
On Rayleigh wave field induced by surface stresses under the effect of gravity	5
Connections between the morphoelastic treatment of growth-induced instabilities and earlier hyperelastic treatments of buckling under thrust	5
The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture	5
Study on the surface effect and microscopic mechanism of four cracks emanating from a nanoscale lip-shaped orifice in one-dimensional hexagonal piezoelectric quasicrystals	5
On the existence of Rayleigh waves with full impedance boundary condition	5
The effect of material anisotropy on the mechanics of a thin-film/substrate system under mechanical and thermal loads	5
Wave interaction coefficients for a cubic crystal	5
A theoretical scheme for shape-programming of thin hyperelastic plates through differential growth	5
A two-point Pade approximation for the in-plane buckling of a rotating beam	5
Couple-stress–based gradient theory of poroelasticity	5
Internal resonances of nanorods in presence of surface energy effect: Nonlinear torsional vibration	5
The transient dynamic wave process in unidirectional composites	5
Seismic barriers filled with solid elastic and granular materials: Comparative analysis	5
Refined explicit solution for the stress field around an elliptical cylindrical tunnel with a moderate depth	5
New trends in couple-stress hyperelasticity	5
Couple-stress effects in a thin film bonded to a half-space	4
Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas	4
Preface to “Advances in mathematical theory of thin structures” in memory of Professor Petr E. Tovstik	4
Biomimetic torene shells	4
Contact problem for an interface crack under action of a moving punch	4
Energy distribution of bifurcated waveguide structure with planar and non-planar surfaces	4
Assessment of homogenization solutions for dynamic problems of periodic plate structures	4
Identifying inclusions in a non-uniform thermally conductive plate under external flows and internal heat sources using topological optimization	4
Identifying composition-mechanics relations in human brain tissue based on neural-network-enhanced inverse parameter identification	4
Topology optimisation for vibration bandgaps of periodic composite plates using the modified couple stress continuum	4
Rules governing swarm robot in continuum mechanics	4
Circular inclusion with a refined linearized version of Steigmann–Ogden model	4
Nonlinear elastic general integral equations in micromechanics of random structure composites	4
Accurate linear analytical solutions for biaxial symmetry problems of rectangular thin plates using an innovative series expansion method	4
Influence of internal stresses on stability of multilayer micropolar tubes	4
Suppressing thermal stress in the vicinity of a circular nano-inhomogeneity via the mechanism of size effects	4
On tangent geometry and generalised continuum with defects	4
Local material symmetry group for first- and second-order strain gradient fluids	4
Characterization of framed curves arising from local isometric immersions	4
On Spencer’s displacement function approach for problems in second-order elasticity theory	4
Debonding of an elastic layer with a cavity from a rigid substrate caused by rotation of a bonded rigid cylinder	4
Linear elastic diatomic multilattices: Three-dimensional constitutive modeling and solutions of the shift vector equation	4
Reflection phenomena of thermoelastic plane waves on a rigid surface within a size-dependent elastic media	4
Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation	4
Characterization of the material behavior and identification of effective elastic moduli based on molecular dynamics simulations of coarse-grained silica	4
Higher order imperfect interface models of conductive spherical interphase	4
Notes on rate equations in nonlinear continuum mechanics	4
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	3
A coated hypotrochoidal compressible liquid inclusion neutral to a hydrostatic stress field after relaxation by interface slip and diffusion	3
Material swelling with partial confinement in the internally balanced generalization of hyperelasticity	3
Screw dislocations in a holed wedge	3
Towards automated image-based cohesive zone modeling of cracking in irregular masonry	3
Extracting non-equilibrium material properties in visco-hyperelastic polymers based on analytical stress solution	3
A study on deformation-induced degradation of the compressible polymeric pressurized vessel through a non-equilibrium thermodynamic framework	3
Does the capacitor analogy model in fracture mechanics of elastic dielectrics constitute an appropriate approximation?	3
Existence of solutions for a viscous hybrid quantum system for arbitrary large current density	3
Localized necking and bulging of finitely deformed residually stressed solid cylinder	3
A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: Clamped rectangular incompressible elastic plates	3

On singular behaviour in a plane linear elastostatics problem	3
Geometric characterization of continuously defective elastic crystals	3
Representation of solutions of strain gradient dual-phase-lag thermoelasticity and effects of scale-length parameter in half-space	3
Understanding the role of interfacial mechanics on the wrinkling behavior of compressible bilayer structures under large plane deformations	3
Effective properties of heterogeneous materials as functions of contrast between properties of constituents	3
On the inflation, bulging/necking bifurcation and post-bifurcation of a cylindrical membrane under limited extensibility of its constituents	3
Lagrange formal calculus as applied to Lagrange mechanics: An exercise in anachronism	3
Derivation of an elastic shell model of order hn as n tends to infinity	3
Evolution of edge dislocations under elastic and inelastic strains: A nanoscale phase-field study	3
The dilatation line in an elastic wedge	3
Investigation of the influence of nano-sized particles on the entanglement distribution of a generic polymer nanocomposite using molecular dynamics	3
A phase-field model for electro-mechanical fracture with an open-source implementation of it using Gridap in Julia	3
A hidden convexity in continuum mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity	3
Two-field variational formulations for a class of nonlinear mechanical models	3
Double horizon peridynamics	3
Stress concentration due to an elliptic hole in a porous elastic plate	3
Analysis of a new kind of elastic-rigid bilateral obstacle problem	3
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	3
An asymptotic modeling and resolution framework for morphology evolutions of multiple-period post-buckling modes in bilayers	3
Stability to the finite disturbance of the critical equilibrium for three struts	3
A mode I crack with multiple islands of ideal contact between the crack faces: An asymptotic model	3
Thermoelastic vibration of Timoshenko beam under the modified couple stress theory and the Moore–Gibson–Thompson heat conduction model	3
Discussion of “A general theory for anisotropic Kirchhoff-Love shells with in-plane bending of embedded fibers,” by T.X Duong, et al., Math. Mech. Solids 28, 1274–1317 (2023)	3
Longitudinal shock waves in a class of semi-infinite stretch-limited elastic strings	3
A two-dimensional four-node quadrilateral inverse element for shape sensing and structural health monitoring	3
Sensitivity analysis of an inflated and extended fiber-reinforced membrane with different natural configurations of its constituents	3
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	3
Investigating infill density and pattern effects in additive manufacturing by characterizing metamaterials along the strain-gradient theory	3
Branching during axial compression histories of solid cylinders of time-dependent materials	3
Virtual element method for solving a viscoelastic contact problem with long memory	2
Enrichment of fiber-reinforced material models with dissipative effects	2
Fast Fourier transform method in peridynamic micromechanics of composites	2
Transient thermo-mechanical analysis of a spherical microshell based on the three-phase-lag thermoelasticity incorporating small-scale and memory-dependent effects	2
Models of fractional viscous stresses for incompressible materials	2
Static condensation of peridynamic heat conduction model	2
Second gradient continuum model for anisotropic elastic and piezoelectric structures calibrated based on phonon dispersion relations	2
Transformation field analysis as a background of clustering discretization methods in micromechanics of composites	2
A uniform framework for the dynamic behavior of linearized anisotropic elastic rods	2
Letters of S.P. Timoshenko to V.I. Vernadsky recently discovered at Columbia University’s library, with analysis of his attitudes	2
Discrete observability of the Bresse system	2
Quasiconvexity in a model of fiber-reinforced solids based on Cosserat elasticity theory	2
The Lokhin–Sedov table revisited: Tensor form of anisotropic elastic moduli for all symmetry groups	2
Non-linear effects in seismic waves in high-energy earthquakes: A two-dimensional analysis for non-homogeneous isotropic media with a view towards the study of the 2009 L’Aquila earthquake	2
Solution of planar elastic stress problems using stress basis functions	2
Reflection of temperature rate–dependent coupled thermoelastic waves on a non-local elastic half-space	2
An inverse application of unit cells for extracting fibre properties from effective properties of composites	2
The interaction between a piezoelectric screw dislocation and collinear rigid lines in one-dimensional hexagonal quasicrystals	2
A thermodynamical model for paleomagnetism in Earth’s crust	2
Asymptotic homogenization of flexoelectric composite plates with periodically varying thickness	2
A direct method for wave propagation in elastic fiber composites	2
Chirality effects in panto-cylindrical structures	2
Interfacial wave propagation in initially stressed compressible hyperelastic materials	2
Major symmetry of the induced tangent stiffness tensor for the Zaremba–Jaumann rate and Kirchhoff stress in hyperelasticity: Two different approaches	2
Extended Dummy Node Rule for analysis and characterization of pin-jointed periodic cellular materials: An approach based on Bloch-wave method	2
A model for residually stressed viscoelastic bodies and its application to some boundary value problems	2
An updated Lagrangian Bézier finite element formulation for the analysis of slender beams	2
Consistent linearization of micromorphic continuum theories	2
Growth spin in plant cell wall growth and remodelling	2
Approximate Lamb waves in a composite plate reinforced by two families of fibres	2
Geometric thermodynamics, non-equilibrium entropy and revision of B.D. Coleman’s thermomechanics	2
Effect of nanoscale amorphization on dislocation emission from a semi-elliptical surface crack tip in nanocrystalline materials	2
Predicting peak stresses in microstructured materials using convolutional encoder–decoder learning	2
Predicting and explaining nonlinear material response using deep physically guided neural networks with internal variables	2
Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness – Part II: determination of the spherical part of the couple-stress	2
The effect of local random defects on the response of pantographic sheets	2
Electro-hyperelasticity with phase field for electric breakdown modeling	2
Residual stresses for a new class of transversely isotropic nonlinear elastic solid	2
Approximation of dissipative systems by elastic chains: Numerical evidence	2
Laplace domain BEM for anisotropic transient elastodynamics	2
Stability analysis of thin cylindrical shells under pure and three-point bending	2
Finite element study of V-shaped crack-tip fields in a three-dimensional nonlinear strain-limiting elastic body	2
On prismatic and bending bifurcations of fiber-reinforced elastic membranes under swelling with application to aortic aneurysms	2
Dynamic amplification in a periodic structure with a transition zone subject to a moving load: Three different phenomena	2
Change of reference configuration in nonlinear elasticity: Perpetuation of a basic error	2
Obituary	2
A modified Fourier series-based solution with improved rate of convergence for two-dimensional rectangular isotropic linear elastic solids	2
Membrane tension determines the geometry of donut-shaped transcellular holes	2
The existence and uniqueness theorem for linear flexoelectricity and application to the Galerkin approximation	2
Measurement of two-dimensional residual stress in nanocrystalline superelastic NiTi fabricated with pre-strain laser shock peening	2
A domain-boundary integral equation method for the anisotropic DR equation of spatio-temporal coefficients	2
A historical overview on static and dynamic analyses of sandwich or partially composite beams and plates	2
Preface of MMS special issue honoring the memory and legacy of Professor AJM Spencer, FRS	2
Analytical solution to some boundary value problems of elasticity in bipolar coordinates	2
Some qualitative results in hyperbolic two-temperature generalized thermoelasticity	2
Transient mode-III problem of the elastic matrix with a line inclusion	2
Universal relations for electro-magneto-active solids in shear and triaxial extension	2
A lower bound for the energy decay rate in piezoelectricity	2
Interaction between an edge dislocation and a partially debonded circular elastic inhomogeneity with the debonded portion occupied by a liquid slit inclusion	2
In recognition of the 80th birthday of Ray Ogden	2
Stress concentration around a circular rigid inclusion in incompressible nonlinearly elastic transversely isotropic and orthotropic thin sheets under uniaxial extension	2
Intrinsic formulation of the Kirchhoff–Love theory of nonlinearly elastic plates	2
A hemivariational damageable elastoplastic vertex-spring model for masonry analysis	2
Obituary	2
A modified couple stress model to analyze the effect of size-dependent on thermal interactions in rotating nanobeams whose properties change with temperature	2
Rayleigh wave in layered piezoelectric semiconductor with consideration of PN junction effects	2