Mathematics and Mechanics of Solids

Article	Citations
Basic errors in couple-stress hyperelasticity articles	48
The mathematics and mechanics of tug of war	33
Exponential stability for a porous thermoelastic system of type II	30
A theory of coupled strain-gradient plasticity with species transport at small deformations	28
Green’s functions of steady-state transversely isotropic hygro-thermo-magneto-piezoelectric cones	27
Damped Normal Compliance (DNC) and the restitution coefficient	25
On governing equations for a nanoplate derived from the 3D gradient theory of elasticity	23
On the Rayleigh wave velocity in n -type piezoelectric semiconductors with enhanced flexoelectricity	20
Sliding frictional contact problem of a layer indented by a rigid punch in couple stress elasticity	20
Mechanical attributes of fractal dragons	20
On the representation of fourth- and higher-order anisotropic elasticity tensors in generalized continuum models	20
Remarks on bifurcation of an inflated and extended swellable isotropic tube	20
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	19
Retraction Notice: Thermal mechanical coupling analysis of two-dimensional decagonal quasicrystals with elastic elliptical inclusion	17
Model anisotropic materials with ellipsoidal wave surfaces and their application to determination of elastic constants by acoustical methods	17
Analytical buckling load formulas for cylindrical shell structures with variable thickness under non-uniform external pressure	16
Mode-III fracture of four cracks emanating from an elliptical hole in one-dimensional orthorhombic quasicrystals with piezoelectric effect	14
Spectral formulations in nonlinear solids: A brief summary	14
Elastic body with thin nonhomogeneous inclusion in non-coercive case	13
On the role of the invariant “I4” in conventional couple-stress hyperelasticity	13
Large deformation of soft dielectric cylindrical tubes under external radial electric field	13
Buckling of a column made of the functionally graded material with high-order polynomial mode shape	12
Nonlocal vibration of functionally graded nanoplates using a layerwise theory	12
Three-dimensional analytical solutions to the half infinite thermo-elastic body pressed by a rigid cylindrical structure in thermal environment	11
Asymptotic theory for the inextensional flexure and twist of plastically deformed thin rods	11

Consistent Euler–Bernoulli beam theory in statics for gradient elasticity based on Laplacians of stress and strain	11
Contact behaviors involving a nanobeam with surface effect by a rigid indenter	11
An elastic rod perfectly bonded to a fold on a von Karman elastic surface	11
Robust topology optimization of truss-like continuum structures under uncertain loads based on cloud model	11
A general theory for anisotropic Kirchhoff–Love shells with in-plane bending of embedded fibers	11
On the theory of sandwich shells, plates, and beams with light core	11
Using asymptotic homogenization to determine effective thermo-viscoelastic properties of fibrous composites with interphase layer	10
Impact contact mechanical characteristics assessment of piezoelectric material using the semi-analytical method	10
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method	10
Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters	10
Examining avascular tumour growth dynamics: A variable-order non-local modelling perspective	10
Non-convex Gao model for nonlinear elastic beam with inclined non-penetrating crack	10
A continuum theory of elastic semiconductors with consideration of mobile charge inertia	10
Exact solutions of the theory of elasticity for a clamped rectangle	10
Computational integration and experimental validation of a two-length scale model for accurate prediction of steels’ plastic behavior during phase transformation	10
Intrinsic structure of the cotangent bundle of a locally Euclidean differential space	10
Metal plasticity and nonlocal damage modeling: A thermodynamically consistent GSM approach with computational implications	10
Asymptotically correct boundary conditions for the higher-order theory of plate bending	9
Linear spring model to analyse the effect of interfacial imperfection on the propagation and attenuation of Love-type waves in viscoelastic-FGPM bedded structure	9
Non-classical theory of electro-thermo-elasticity incorporating local mass displacement and nonlocal heat conduction	9
Flexural–torsional buckling with enforced axis of twist and related problems	9
On admissible external loadings within the first and second strain gradient elasticity	9
Approximate determination of shear stresses for a 2D beam made of a non-Green elastic solid	8
Tensor decomposition for modified quasi-linear viscoelastic models: Towards a fully non-linear theory	8
On the representation of solutions and the propagation of plane waves under strain gradient theory with dual-phase-lag thermoelasticity	8
Critical velocities of a three-layer composite tube incorporating the rotary inertia and material anisotropy	8
Stress solution for an arbitrarily shaped tunnel with a neighboring circular cavity	8
A problem for a material surface attached to the boundary of an elastic semi-plane	8
Analysis of Berger nonlinear elastic static plate bending of rectangular plates	8
Quadratically nonlinear interactions of shear elastic waves in fiber-reinforced orthotropic materials	8
A mixed trigger volumetric growth law for cylindrical deformation in stressed configurations	8
New classes of linearizable hyperelastic compressible materials	8
Evolution of bone tissue based on angiogenesis as a crucial factor: New mathematical attempt	8
Veering of Rayleigh–Lamb waves in orthorhombic materials	7
Coupled torsion and inflation of functionally graded and residually stressed Mooney–Rivlin hollow cylinders	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
Time discretization in visco-elastodynamics at large displacements and strains in the Eulerian frame	7
A note on the Hill–Ogden generalised strains	7
Identification of an elliptic void in a piezoelectric layer by two types of loads	7
Special issue: “Integrated approaches for the mechanics of masonry structures: Novel strategies for experimental characterization, mathematical modelling and computer simulations”	7
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables	7
Finite element analysis of materially uniform dielectric elastomers	7
Hydroelastic analysis of partially or totally immersed Mindlin plates with a hybrid isogeometric-based approach	7
About the structure of the discrete and continuous Eringen’s nonlocal elastica	7
Intrinsic Marguerre–von Kármán equations	7
An amended approximation of the non-Gaussian probability distribution function	7
Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization	7
Refined conditions for nonlocal micropolar wave propagation in layered media	7
A phase-field model for thermo-mechanical fracture	7
A one-pass predictor-corrector algorithm for the inverse Langevin function	7

A general contact stiffness model for elastic bodies and its application in time-varying mesh stiffness of gear drive	6
Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric bi-material strip	6
The influence of time-fractional Maxwell’s equations based on Caputo fractional derivative on an electromagnetic solid cylinder under four different thermoelastic theorems	6
A holed-plate with material dislocations: Formulation and verification	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
Finite deformation modeling of wrinkling in thin magnetoelastic sheets	6
Solid–liquid interface: Appearing induced supersonic head waves in liquid layers	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
Modeling the degeneration of the collagen architecture in a microstructural model of the human cornea	6
Lateral buckling of drill strings revisited: localised “snaking”	6
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach	6
Existence of time-dependent attractor of wave equation in locally uniform space	6
Interaction between an edge dislocation and a circular elastic inhomogeneity with Steigmann–Ogden interface	6
A two-point Pade approximation for the in-plane buckling of a rotating beam	5
Connections between the morphoelastic treatment of growth-induced instabilities and earlier hyperelastic treatments of buckling under thrust	5
Identifying composition-mechanics relations in human brain tissue based on neural-network-enhanced inverse parameter identification	5
Mesoscale analysis of fracture process in brick masonry structures	5
A Volterra edge dislocation problem in second-order elasticity theory	5
New trends in couple-stress hyperelasticity	5
Analysis of a parabolic bilateral obstacle problem with non-monotone relations in the domain	5
In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results	5
Preface to “Advances in mathematical theory of thin structures” in memory of Professor Petr E. Tovstik	5
On Spencer’s displacement function approach for problems in second-order elasticity theory	5
Couple-stress–based gradient theory of poroelasticity	5
Real-form solution for an anisotropic elastic elliptical inhomogeneity under uniform heat flux	5
Refined explicit solution for the stress field around an elliptical cylindrical tunnel with a moderate depth	5
On the existence of Rayleigh waves with full impedance boundary condition	5
Wave interaction coefficients for a cubic crystal	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
Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas	5
Surface instabilities of soft dielectric elastomers with implementation of electrode stiffness	5
On a dynamic frictional contact problem with normal damped response and long-term memory	5
Internal resonances of nanorods in presence of surface energy effect: Nonlinear torsional vibration	5
Reflection of plane waves from the free surface of a hard sphere-filled elastic metacomposite	5
Higher order asymptotic homogenization for dynamical problems	5
A theoretical scheme for shape-programming of thin hyperelastic plates through differential growth	5
A compressible liquid inclusion of arbitrary shape in an isotropic elastic matrix	5
The transient dynamic wave process in unidirectional composites	5
Topology optimisation for vibration bandgaps of periodic composite plates using the modified couple stress continuum	4
Identifying inclusions in a non-uniform thermally conductive plate under external flows and internal heat sources using topological optimization	4
An asymptotic modeling and resolution framework for morphology evolutions of multiple-period post-buckling modes in bilayers	4
Reflection phenomena of thermoelastic plane waves on a rigid surface within a size-dependent elastic media	4
Accurate linear analytical solutions for biaxial symmetry problems of rectangular thin plates using an innovative series expansion method	4
Suppressing thermal stress in the vicinity of a circular nano-inhomogeneity via the mechanism of size effects	4
Biomimetic torene shells	4
Seismic barriers filled with solid elastic and granular materials: Comparative analysis	4
Notes on rate equations in nonlinear continuum mechanics	4
Debonding of an elastic layer with a cavity from a rigid substrate caused by rotation of a bonded rigid cylinder	4
Higher order imperfect interface models of conductive spherical interphase	4
On tangent geometry and generalised continuum with defects	4
Screw dislocations in a holed wedge	4
Analysis of a new kind of elastic-rigid bilateral obstacle problem	4
Influence of internal stresses on stability of multilayer micropolar tubes	4
Circular inclusion with a refined linearized version of Steigmann–Ogden model	4
Couple-stress effects in a thin film bonded to a half-space	4
Nonlinear elastic general integral equations in micromechanics of random structure composites	4
Linear elastic diatomic multilattices: Three-dimensional constitutive modeling and solutions of the shift vector equation	4
Rules governing swarm robot in continuum mechanics	4
Material swelling with partial confinement in the internally balanced generalization of hyperelasticity	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
Characterization of the material behavior and identification of effective elastic moduli based on molecular dynamics simulations of coarse-grained silica	4
Contact problem for an interface crack under action of a moving punch	4
On Rayleigh wave field induced by surface stresses under the effect of gravity	4
The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture	4
Characterization of framed curves arising from local isometric immersions	4
Sensitivity analysis of an inflated and extended fiber-reinforced membrane with different natural configurations of its constituents	3
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	3
Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness – Part II: determination of the spherical part of the couple-stress	3
Consistent linearization of micromorphic continuum theories	3
Derivation of an elastic shell model of order hn as n tends to infinity	3
The dilatation line in an elastic wedge	3
Electro-hyperelasticity with phase field for electric breakdown modeling	3
Understanding the role of interfacial mechanics on the wrinkling behavior of compressible bilayer structures under large plane deformations	3
A phase-field model for electro-mechanical fracture with an open-source implementation of it using Gridap in Julia	3
On the inflation, bulging/necking bifurcation and post-bifurcation of a cylindrical membrane under limited extensibility of its constituents	3
Stability to the finite disturbance of the critical equilibrium for three struts	3
Investigating infill density and pattern effects in additive manufacturing by characterizing metamaterials along the strain-gradient theory	3

Localized necking and bulging of finitely deformed residually stressed solid cylinder	3
Effective properties of heterogeneous materials as functions of contrast between properties of constituents	3
Rate-dependent transversely isotropic magneto-viscoelastic solids	3
Evolution of edge dislocations under elastic and inelastic strains: A nanoscale phase-field study	3
Does the capacitor analogy model in fracture mechanics of elastic dielectrics constitute an appropriate approximation?	3
Universal relations for electro-magneto-active solids in shear and triaxial extension	3
A study on deformation-induced degradation of the compressible polymeric pressurized vessel through a non-equilibrium thermodynamic framework	3
Two-field variational formulations for a class of nonlinear mechanical models	3
Geometric characterization of continuously defective elastic crystals	3
Interaction between an edge dislocation and a partially debonded circular elastic inhomogeneity with the debonded portion occupied by a liquid slit inclusion	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
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
On singular behaviour in a plane linear elastostatics problem	3
Towards automated image-based cohesive zone modeling of cracking in irregular masonry	3
Lagrange formal calculus as applied to Lagrange mechanics: An exercise in anachronism	3
Representation of solutions of strain gradient dual-phase-lag thermoelasticity and effects of scale-length parameter in half-space	3
A hidden convexity in continuum mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity	3
A two-dimensional four-node quadrilateral inverse element for shape sensing and structural health monitoring	3
Thermoelastic vibration of Timoshenko beam under the modified couple stress theory and the Moore–Gibson–Thompson heat conduction model	3
Investigation of the influence of nano-sized particles on the entanglement distribution of a generic polymer nanocomposite using molecular dynamics	3
Extracting non-equilibrium material properties in visco-hyperelastic polymers based on analytical stress solution	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
Existence of solutions for a viscous hybrid quantum system for arbitrary large current density	3
Mixtures and the hierarchical groupoid structure of n -fold groupoids	3
Stress concentration due to an elliptic hole in a porous elastic plate	3
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
Double horizon peridynamics	3
A coated hypotrochoidal compressible liquid inclusion neutral to a hydrostatic stress field after relaxation by interface slip and diffusion	3
Branching during axial compression histories of solid cylinders of time-dependent materials	3
Inertia-induced power law scaling in martensites	3
The Lokhin–Sedov table revisited: Tensor form of anisotropic elastic moduli for all symmetry groups	2
Measurement of two-dimensional residual stress in nanocrystalline superelastic NiTi fabricated with pre-strain laser shock peening	2
A hemivariational damageable elastoplastic vertex-spring model for masonry analysis	2
A direct method for wave propagation in elastic fiber composites	2
Laplace domain BEM for anisotropic transient elastodynamics	2
On prismatic and bending bifurcations of fiber-reinforced elastic membranes under swelling with application to aortic aneurysms	2
Some qualitative results in hyperbolic two-temperature generalized thermoelasticity	2
Solution of planar elastic stress problems using stress basis functions	2
Mathematical analysis of Rayleigh-type wave propagation in a thermo-porous piezoelectric composite structure with interfacial imperfection employing dual-phase-lag model	2
Enrichment of fiber-reinforced material models with dissipative effects	2
Fast Fourier transform method in peridynamic micromechanics of composites	2
A lower bound for the energy decay rate in piezoelectricity	2
Static condensation of peridynamic heat conduction model	2
Quasiconvexity in a model of fiber-reinforced solids based on Cosserat elasticity theory	2
Interfacial wave propagation in initially stressed compressible hyperelastic materials	2
Observability and global attractors for viscoelastic equation with degenerate memory	2
Transient mode-III problem of the elastic matrix with a line inclusion	2
Finite element study of V-shaped crack-tip fields in a three-dimensional nonlinear strain-limiting elastic body	2
About the number of hinges at failure of semicircular and pointed masonry arches	2
Dynamic amplification in a periodic structure with a transition zone subject to a moving load: Three different phenomena	2
History-dependent fractional hemivariational inequality with time-delay system for a class of new frictionless quasistatic contact problems	2
Stress concentration around a circular rigid inclusion in incompressible nonlinearly elastic transversely isotropic and orthotropic thin sheets under uniaxial extension	2
The interaction between a piezoelectric screw dislocation and collinear rigid lines in one-dimensional hexagonal quasicrystals	2
Major symmetry of the induced tangent stiffness tensor for the Zaremba–Jaumann rate and Kirchhoff stress in hyperelasticity: Two different approaches	2
Second gradient continuum model for anisotropic elastic and piezoelectric structures calibrated based on phonon dispersion relations	2
In recognition of the 80th birthday of Ray Ogden	2
The existence and uniqueness theorem for linear flexoelectricity and application to the Galerkin approximation	2
Virtual element method for solving a viscoelastic contact problem with long memory	2
Rayleigh wave in layered piezoelectric semiconductor with consideration of PN junction effects	2
Residual stresses for a new class of transversely isotropic nonlinear elastic solid	2
Predicting and explaining nonlinear material response using deep physically guided neural networks with internal variables	2
Geometric thermodynamics, non-equilibrium entropy and revision of B.D. Coleman’s thermomechanics	2
The effect of local random defects on the response of pantographic sheets	2
Models of fractional viscous stresses for incompressible materials	2
Approximate Lamb waves in a composite plate reinforced by two families of fibres	2
Transient thermo-mechanical analysis of a spherical microshell based on the three-phase-lag thermoelasticity incorporating small-scale and memory-dependent effects	2
Discrete observability of the Bresse system	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
Change of reference configuration in nonlinear elasticity: Perpetuation of a basic error	2
A unified approach to hyperelastic modelling of plant cell walls	2
Prediction of bone microstructures degradation during osteoporosis with fuzzy cellular automata algorithm	2
Stability analysis of thin cylindrical shells under pure and three-point bending	2
Dynamic fracture behavior for hole-initiated cracks in functionally graded magneto-electro-elastic bi-materials	2
A uniform framework for the dynamic behavior of linearized anisotropic elastic rods	2
Extended Dummy Node Rule for analysis and characterization of pin-jointed periodic cellular materials: An approach based on Bloch-wave method	2
Analytical solution to some boundary value problems of elasticity in bipolar coordinates	2
Obituary	2
Transformation field analysis as a background of clustering discretization methods in micromechanics of composites	2
An updated Lagrangian Bézier finite element formulation for the analysis of slender beams	2
Obituary	2
Approximation of dissipative systems by elastic chains: Numerical evidence	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
Predicting peak stresses in microstructured materials using convolutional encoder–decoder learning	2
Reflection of temperature rate–dependent coupled thermoelastic waves on a non-local elastic half-space	2
Growth spin in plant cell wall growth and remodelling	2
Preface of MMS special issue honoring the memory and legacy of Professor AJM Spencer, FRS	2
Intrinsic formulation of the Kirchhoff–Love theory of nonlinearly elastic plates	2
Asymptotic homogenization of flexoelectric composite plates with periodically varying thickness	2
Chirality effects in panto-cylindrical structures	2
Effect of nanoscale amorphization on dislocation emission from a semi-elliptical surface crack tip in nanocrystalline materials	2
An inverse application of unit cells for extracting fibre properties from effective properties of composites	2
Plane waves in Moore–Gibson–Thompson thermoelasticity considering nonlocal elasticity effect	2
A model for residually stressed viscoelastic bodies and its application to some boundary value problems	2
A thermodynamical model for paleomagnetism in Earth’s crust	2