Mathematics and Mechanics of Solids

Article	Citations
Green’s functions of steady-state transversely isotropic hygro-thermo-magneto-piezoelectric cones	61
A theory of coupled strain-gradient plasticity with species transport at small deformations	34
The mathematics and mechanics of tug of war	33
Remarks on bifurcation of an inflated and extended swellable isotropic tube	31
On rigid inclusions and cavities in a layered composite containing cracks	27
Mechanical attributes of fractal dragons	25
Exponential stability for a porous thermoelastic system of type II	25
Damped Normal Compliance (DNC) and the restitution coefficient	23
Receding contact of the elastic weight strip and the rigid foundation under the action of a semi-infinite punch	22
On the representation of fourth- and higher-order anisotropic elasticity tensors in generalized continuum models	20
Sliding frictional contact problem of a layer indented by a rigid punch in couple stress elasticity	20
Basic errors in couple-stress hyperelasticity articles	17
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	17
Rigid-flexible coupling dynamics for bionic body-caudal-fin propulsion	16
On the Rayleigh wave velocity in n -type piezoelectric semiconductors with enhanced flexoelectricity	15
A general theory for anisotropic Kirchhoff–Love shells with in-plane bending of embedded fibers	14
Surface-energetic piezoelectric materials and effective properties of composites in antiplane loading conditions	14
Asymptotic theory for the inextensional flexure and twist of plastically deformed thin rods	14
Buckling of a column made of the functionally graded material with high-order polynomial mode shape	14
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	13
Model anisotropic materials with ellipsoidal wave surfaces and their application to determination of elastic constants by acoustical methods	12
Analytical buckling load formulas for cylindrical shell structures with variable thickness under non-uniform external pressure	12
An elastic rod perfectly bonded to a fold on a von Karman elastic surface	12
Elastic body with thin nonhomogeneous inclusion in non-coercive case	12

Nonlocal vibration of functionally graded nanoplates using a layerwise theory	12
Large deformation of soft dielectric cylindrical tubes under external radial electric field	12
On the role of the invariant “I4” in conventional couple-stress hyperelasticity	12
Contact behaviors involving a nanobeam with surface effect by a rigid indenter	12
On the theory of sandwich shells, plates, and beams with light core	11
Impact contact mechanical characteristics assessment of piezoelectric material using the semi-analytical method	11
Consistent Euler–Bernoulli beam theory in statics for gradient elasticity based on Laplacians of stress and strain	11
A continuum theory of elastic semiconductors with consideration of mobile charge inertia	11
Model-driven digital volume correlation: A step forward in experimental analyses of metamaterial deformations	11
Non-convex Gao model for nonlinear elastic beam with inclined non-penetrating crack	11
Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters	10
Using asymptotic homogenization to determine effective thermo-viscoelastic properties of fibrous composites with interphase layer	10
Non-classical theory of electro-thermo-elasticity incorporating local mass displacement and nonlocal heat conduction	10
Exact solutions of the theory of elasticity for a clamped rectangle	10
Intrinsic structure of the cotangent bundle of a locally Euclidean differential space	9
Metal plasticity and nonlocal damage modeling: A thermodynamically consistent GSM approach with computational implications	9
On admissible external loadings within the first and second strain gradient elasticity	9
Examining avascular tumour growth dynamics: A variable-order non-local modelling perspective	9
Three-dimensional analytical solutions to the half infinite thermo-elastic body pressed by a rigid cylindrical structure in thermal environment	9
Computational integration and experimental validation of a two-length scale model for accurate prediction of steels’ plastic behavior during phase transformation	9
Comparison of the effects of a graded interphase and a homogeneous interphase on the macroscopic properties of a particulate composite	9
Robust topology optimization of truss-like continuum structures under uncertain loads based on cloud model	9
Tensor decomposition for modified quasi-linear viscoelastic models: Towards a fully non-linear theory	8
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method	8
A mixed trigger volumetric growth law for cylindrical deformation in stressed configurations	8
Analysis of Berger nonlinear elastic static plate bending of rectangular plates	8
Asymptotically correct boundary conditions for the higher-order theory of plate bending	8
Stress solution for an arbitrarily shaped tunnel with a neighboring circular cavity	8
An efficient stress-constrained sizing design optimization method with O ( n ) computational complexity	8
Approximate determination of shear stresses for a 2D beam made of a non-Green elastic solid	8
New classes of linearizable hyperelastic compressible materials	8
On the representation of solutions and the propagation of plane waves under strain gradient theory with dual-phase-lag thermoelasticity	8
Coupled torsion and inflation of functionally graded and residually stressed Mooney–Rivlin hollow cylinders	8
Linear spring model to analyse the effect of interfacial imperfection on the propagation and attenuation of Love-type waves in viscoelastic-FGPM bedded structure	8
Flexural–torsional buckling with enforced axis of twist and related problems	8
Critical velocities of a three-layer composite tube incorporating the rotary inertia and material anisotropy	8
A problem for a material surface attached to the boundary of an elastic semi-plane	8
Quadratically nonlinear interactions of shear elastic waves in fiber-reinforced orthotropic materials	8
Intrinsic Marguerre–von Kármán equations	7
An amended approximation of the non-Gaussian probability distribution function	7
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables	7
A one-pass predictor-corrector algorithm for the inverse Langevin function	7
Interaction between an edge dislocation and a circular elastic inhomogeneity with Steigmann–Ogden interface	7
A phase-field model for thermo-mechanical fracture	7
About the structure of the discrete and continuous Eringen’s nonlocal elastica	7
A note on the Hill–Ogden generalised strains	7
Refined conditions for nonlocal micropolar wave propagation in layered media	6
Identification of an elliptic void in a piezoelectric layer by two types of loads	6
Optimizing stiffener configuration and buckling performance of composite panels under in-plane shear: A hybrid ANN-FEA approach	6
Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization	6

A general contact stiffness model for elastic bodies and its application in time-varying mesh stiffness of gear drive	6
Gaussian curvature-induced localization in tape springs: A one-dimensional nonlinear model	6
Existence of time-dependent attractor of wave equation in locally uniform space	6
Hydroelastic analysis of partially or totally immersed Mindlin plates with a hybrid isogeometric-based approach	6
Solid–liquid interface: Appearing induced supersonic head waves in liquid layers	6
Asymptotic long-wave model for a high-contrast two-layered elastic plate	6
Nonlocal electrostatics and boundary charges in continuum limits of two-dimensional materials	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
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach	6
Modeling the degeneration of the collagen architecture in a microstructural model of the human cornea	6
Addendum to “fourth-order tensor calculus operations and application to continuum mechanics”	6
Finite deformation modeling of wrinkling in thin magnetoelastic sheets	6
Time discretization in visco-elastodynamics at large displacements and strains in the Eulerian frame	6
Lateral buckling of drill strings revisited: localised “snaking”	6
Special issue: “Integrated approaches for the mechanics of masonry structures: Novel strategies for experimental characterization, mathematical modelling and computer simulations”	6
Dynamic fracture of a partially permeable crack in a functionally graded one-dimensional hexagonal piezoelectric quasicrystal under a time-harmonic elastic SH-wave	6
Veering of Rayleigh–Lamb waves in orthorhombic materials	6
Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric bi-material strip	6
Finite element analysis of materially uniform dielectric elastomers	6
A two-point Pade approximation for the in-plane buckling of a rotating beam	5
Real-form solution for an anisotropic elastic elliptical inhomogeneity under uniform heat flux	5
Wave interaction coefficients for a cubic crystal	5
On the existence of Rayleigh waves with full impedance boundary condition	5
Couple-stress–based gradient theory of poroelasticity	5
Analysis of a parabolic bilateral obstacle problem with non-monotone relations in the domain	5
The transient dynamic wave process in unidirectional composites	5
A theoretical scheme for shape-programming of thin hyperelastic plates through differential growth	5
A PSO-based computational framework to design active noise cancelation systems for smart vehicle enclosures	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
Reflection of plane waves from the free surface of a hard sphere-filled elastic metacomposite	5
New trends in couple-stress hyperelasticity	5
A compressible liquid inclusion of arbitrary shape in an isotropic elastic matrix	5
Refined explicit solution for the stress field around an elliptical cylindrical tunnel with a moderate depth	5
A Volterra edge dislocation problem in second-order elasticity theory	5
Mesoscale analysis of fracture process in brick masonry structures	5
Concurrent topological optimization of multiple-phase materials with variable periodic patterns	5
A non-ordinary state decomposition method for three-body potential peridynamics model	5
Connections between the morphoelastic treatment of growth-induced instabilities and earlier hyperelastic treatments of buckling under thrust	5
Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas	4
Seismic barriers filled with solid elastic and granular materials: Comparative analysis	4
Rules governing swarm robot in continuum mechanics	4
On Spencer’s displacement function approach for problems in second-order elasticity theory	4
Surface instabilities of soft dielectric elastomers with implementation of electrode stiffness	4
Influence of internal stresses on stability of multilayer micropolar tubes	4
Understanding the role of interfacial mechanics on the wrinkling behavior of compressible bilayer structures under large plane deformations	4
Energy distribution of bifurcated waveguide structure with planar and non-planar surfaces	4
Screw dislocations in a holed wedge	4
Biomimetic torene shells	4
On Rayleigh wave field induced by surface stresses under the effect of gravity	4
Reflection phenomena of thermoelastic plane waves on a rigid surface within a size-dependent elastic media	4
Couple-stress effects in a thin film bonded to a half-space	4
Characterization of framed curves arising from local isometric immersions	4
Internal resonances of nanorods in presence of surface energy effect: Nonlinear torsional vibration	4
Preface to “Advances in mathematical theory of thin structures” in memory of Professor Petr E. Tovstik	4
Circular inclusion with a refined linearized version of Steigmann–Ogden model	4
Linear elastic diatomic multilattices: Three-dimensional constitutive modeling and solutions of the shift vector equation	4
Representation of solutions of strain gradient dual-phase-lag thermoelasticity and effects of scale-length parameter in half-space	4
Higher order imperfect interface models of conductive spherical interphase	4
Accurate linear analytical solutions for biaxial symmetry problems of rectangular thin plates using an innovative series expansion method	4
Nonlinear elastic general integral equations in micromechanics of random structure composites	4
Suppressing thermal stress in the vicinity of a circular nano-inhomogeneity via the mechanism of size effects	4
The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture	4
Characterization of the material behavior and identification of effective elastic moduli based on molecular dynamics simulations of coarse-grained silica	4
Notes on rate equations in nonlinear continuum mechanics	4
Thermal pore pressures and stresses in a partially saturated porous medium: A local thermal non-equilibrium model	4
Debonding of an elastic layer with a cavity from a rigid substrate caused by rotation of a bonded rigid cylinder	4
On a dynamic frictional contact problem with normal damped response and long-term memory	4
Topology optimisation for vibration bandgaps of periodic composite plates using the modified couple stress continuum	4
An asymptotic modeling and resolution framework for morphology evolutions of multiple-period post-buckling modes in bilayers	4
UV light-driven deformations in photoactive fiber-reinforced planar annular membranes	4
Contact problem for an interface crack under action of a moving punch	4
Asymptotic analysis of the dynamic response of a linearly elastic shallow shell with Norton or Tresca friction	4
Identifying composition-mechanics relations in human brain tissue based on neural-network-enhanced inverse parameter identification	4
Assessment of homogenization solutions for dynamic problems of periodic plate structures	4
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
A hidden convexity in continuum mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity	3
Nonlinear thermo-mechanical-diffusive vibrational response of a spherical microshell incorporating memory-dependent and size-dependent effects	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
The dilatation line in an elastic wedge	3
Localized necking and bulging of finitely deformed residually stressed solid cylinder	3

Electro-hyperelasticity with phase field for electric breakdown modeling	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
A coated hypotrochoidal compressible liquid inclusion neutral to a hydrostatic stress field after relaxation by interface slip and diffusion	3
Investigation of the influence of nano-sized particles on the entanglement distribution of a generic polymer nanocomposite using molecular dynamics	3
Double horizon peridynamics	3
Existence of solutions for a viscous hybrid quantum system for arbitrary large current density	3
Stress concentration due to an elliptic hole in a porous elastic plate	3
Mathematical and numerical analysis of Koiter elliptic shells in normal compliance contact	3
A phase-field model for electro-mechanical fracture with an open-source implementation of it using Gridap in Julia	3
Analytical solution to the form-finding problem for tensegrities using the all minors theorem in algebra	3
Uniqueness for some mixed problems of nonlinear elastostatics	3
Towards automated image-based cohesive zone modeling of cracking in irregular masonry	3
Effective properties of heterogeneous materials as functions of contrast between properties of constituents	3
Stability to the finite disturbance of the critical equilibrium for three struts	3
Thermoelastic vibration of Timoshenko beam under the modified couple stress theory and the Moore–Gibson–Thompson heat conduction model	3
Dynamic nonlinear analysis and assessment of structures with friction base isolation devices	3
Exponential decay of the discrete energy for the wave–wave coupled system	3
Extracting non-equilibrium material properties in visco-hyperelastic polymers based on analytical stress solution	3
Inertia-induced power law scaling in martensites	3
Does the capacitor analogy model in fracture mechanics of elastic dielectrics constitute an appropriate approximation?	3
Mechanical in-silico modeling of orthodontic tooth movement: A review of the boundary value problem	3
On recovering intragranular strain fields from grain-averaged strains obtained by high-energy X-ray diffraction microscopy	3
Sensitivity analysis of an inflated and extended fiber-reinforced membrane with different natural configurations of its constituents	3
Derivation of an elastic shell model of order hn as n tends to infinity	3
On the inflation, bulging/necking bifurcation and post-bifurcation of a cylindrical membrane under limited extensibility of its constituents	3
Investigating infill density and pattern effects in additive manufacturing by characterizing metamaterials along the strain-gradient theory	3
Twinning in pressurized porous elastomers	3
Analysis of a new kind of elastic-rigid bilateral obstacle problem	3
Two-field variational formulations for a class of nonlinear mechanical models	3
Branching during axial compression histories of solid cylinders of time-dependent materials	3
Consistent linearization of micromorphic continuum theories	3
Lagrange formal calculus as applied to Lagrange mechanics: An exercise in anachronism	3
Uniqueness results for operators with a p -Laplacian structure	3
A two-dimensional four-node quadrilateral inverse element for shape sensing and structural health monitoring	3
Mixtures and the hierarchical groupoid structure of n -fold groupoids	3
Phase-field regularized cohesive zone model using penalized numerical approach for quasi-brittle fracture	3
Material swelling with partial confinement in the internally balanced generalization of hyperelasticity	3
On singular behaviour in a plane linear elastostatics problem	3
Rate-dependent transversely isotropic magneto-viscoelastic solids	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
Transformation field analysis as a background of clustering discretization methods in micromechanics of composites	2
The effect of local random defects on the response of pantographic sheets	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
Obituary	2
Intrinsic formulation of the Kirchhoff–Love theory of nonlinearly elastic plates	2
Finite element study of V-shaped crack-tip fields in a three-dimensional nonlinear strain-limiting elastic body	2
A local differential quadrature scheme for solving the Poisson equation with strong discontinuities	2
Chirality effects in panto-cylindrical structures	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
Transient mode-III problem of the elastic matrix with a line inclusion	2
Some qualitative results in hyperbolic two-temperature generalized thermoelasticity	2
Quasiconvexity in a model of fiber-reinforced solids based on Cosserat elasticity theory	2
Analytical solution to some boundary value problems of elasticity in bipolar coordinates	2
Universal relations for electro-magneto-active solids in shear and triaxial extension	2
A uniform framework for the dynamic behavior of linearized anisotropic elastic rods	2
Thermoelastic behavior of a micropolar nanoscale medium with spatial-temporal nonlocality using a memory-dependent phase-delayed heat conduction model	2
Enrichment of fiber-reinforced material models with dissipative effects	2
A hemivariational damageable elastoplastic vertex-spring model for masonry analysis	2
Approximation of dissipative systems by elastic chains: Numerical evidence	2
Interfacial wave propagation in initially stressed compressible hyperelastic materials	2
A direct method for wave propagation in elastic fiber 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
Growth spin in plant cell wall growth and remodelling	2
Introduction to the MMS special issue on Mechanics of Fibre-reinforced Materials: Theory and Applications – Part V	2
Reflection of temperature rate–dependent coupled thermoelastic waves on a non-local elastic half-space	2
A domain-boundary integral equation method for the anisotropic DR equation of spatio-temporal coefficients	2
Extended Dummy Node Rule for analysis and characterization of pin-jointed periodic cellular materials: An approach based on Bloch-wave method	2
Mathematical analysis of Rayleigh-type wave propagation in a thermo-porous piezoelectric composite structure with interfacial imperfection employing dual-phase-lag model	2
A model for residually stressed viscoelastic bodies and its application to some boundary value problems	2
Predicting peak stresses in microstructured materials using convolutional encoder–decoder learning	2
Preface of MMS special issue honoring the memory and legacy of Professor AJM Spencer, FRS	2
Solution of planar elastic stress problems using stress basis functions	2
Evolution of edge dislocations under elastic and inelastic strains: A nanoscale phase-field study	2
A lower bound for the energy decay rate in piezoelectricity	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
Stress concentration around a circular rigid inclusion in incompressible nonlinearly elastic transversely isotropic and orthotropic thin sheets under uniaxial extension	2
Stability analysis of thin cylindrical shells under pure and three-point bending	2
Measurement of two-dimensional residual stress in nanocrystalline superelastic NiTi fabricated with pre-strain laser shock peening	2
Three-dimensional sliding time-dependent contact of magnetoelectric polymer matrix composite films based on the hybrid element method	2
Approximate Lamb waves in a composite plate reinforced by two families of fibres	2
An inverse application of unit cells for extracting fibre properties from effective properties of composites	2
Elastic properties of three-dimensional cellular lattice structures using asymptotic homogenization method	2
Fast Fourier transform method in peridynamic micromechanics of composites	2
Special issue of mathematics and mechanics of solids celebrating Rohan Abeyaratne	2
Interaction between an edge dislocation and a partially debonded circular elastic inhomogeneity with the debonded portion occupied by a liquid slit inclusion	2
A thermodynamical model for paleomagnetism in Earth’s crust	2
Models of fractional viscous stresses for incompressible materials	2
Residual stresses for a new class of transversely isotropic nonlinear elastic solid	2
The Lokhin–Sedov table revisited: Tensor form of anisotropic elastic moduli for all symmetry groups	2
Revisiting contorted aeolotropy: In commemoration of the birth centenary of Walter Noll (1925-2017)	2
Discrete observability of the Bresse system	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
A historical overview on static and dynamic analyses of sandwich or partially composite beams and plates	2