Mathematics and Mechanics of Solids

Article	Citations
Exponential stability for a porous thermoelastic system of type II	37
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	36
Remarks on bifurcation of an inflated and extended swellable isotropic tube	29
Receding contact of the elastic weight strip and the rigid foundation under the action of a semi-infinite punch	28
The Treloar–Kearsley instability in a swollen or thermally expanded elastomeric sheet	23
On the Rayleigh wave velocity in n -type piezoelectric semiconductors with enhanced flexoelectricity	22
Green’s functions of steady-state transversely isotropic hygro-thermo-magneto-piezoelectric cones	22
On rigid inclusions and cavities in a layered composite containing cracks	21
A theory of coupled strain-gradient plasticity with species transport at small deformations	19
The mathematics and mechanics of tug of war	17
Damped Normal Compliance (DNC) and the restitution coefficient	17
Basic errors in couple-stress hyperelasticity articles	17
Surface-energetic piezoelectric materials and effective properties of composites in antiplane loading conditions	16
Mechanical attributes of fractal dragons	16
On the representation of fourth- and higher-order anisotropic elasticity tensors in generalized continuum models	16
Finite deformation implementation of a mixed-mode single-integral type cohesive zone with reorienting surfaces of separation	15
Rigid-flexible coupling dynamics for bionic body-caudal-fin propulsion	15
Model anisotropic materials with ellipsoidal wave surfaces and their application to determination of elastic constants by acoustical methods	14
Elastic body with thin nonhomogeneous inclusion in non-coercive case	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	13
On the theory of sandwich shells, plates, and beams with light core	13
A general theory for anisotropic Kirchhoff–Love shells with in-plane bending of embedded fibers	13
Contact behaviors involving a nanobeam with surface effect by a rigid indenter	13

An elastic rod perfectly bonded to a fold on a von Karman elastic surface	13
Large deformation of soft dielectric cylindrical tubes under external radial electric field	12
On the role of the invariant “I 4 ” in conventional couple-stress hyperelasticity	12
Spectral formulations in nonlinear solids: A brief summary	12
Comparison of the effects of a graded interphase and a homogeneous interphase on the macroscopic properties of a particulate composite	11
Model-driven digital volume correlation: A step forward in experimental analyses of metamaterial deformations	11
Metal plasticity and nonlocal damage modeling: A thermodynamically consistent GSM approach with computational implications	10
Computational integration and experimental validation of a two-length scale model for accurate prediction of steels’ plastic behavior during phase transformation	10
Using asymptotic homogenization to determine effective thermo-viscoelastic properties of fibrous composites with interphase layer	10
Three-dimensional analytical solutions to the half infinite thermo-elastic body pressed by a rigid cylindrical structure in thermal environment	10
Non-convex Gao model for nonlinear elastic beam with inclined non-penetrating crack	10
Impact contact mechanical characteristics assessment of piezoelectric material using the semi-analytical method	10
Non-classical theory of electro-thermo-elasticity incorporating local mass displacement and nonlocal heat conduction	10
Robust topology optimization of truss-like continuum structures under uncertain loads based on cloud model	10
An efficient stress-constrained sizing design optimization method with O ( n ) computational complexity	10
Intrinsic structure of the cotangent bundle of a locally Euclidean differential space	10
Examining avascular tumour growth dynamics: A variable-order non-local modelling perspective	10
On localized modes of free anti-plane vibrations of an ultra-thin plate coated with an inhomogeneous nanofilm with surface energy	9
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method	9
On admissible external loadings within the first and second strain gradient elasticity	9
Consistent Euler–Bernoulli beam theory in statics for gradient elasticity based on Laplacians of stress and strain	9
Coupled torsion and inflation of functionally graded and residually stressed Mooney–Rivlin hollow cylinders	9
A continuum theory of elastic semiconductors with consideration of mobile charge inertia	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
Analysis of Berger nonlinear elastic static plate bending of rectangular plates	8
A problem for a material surface attached to the boundary of an elastic semi-plane	8
Flexural–torsional buckling with enforced axis of twist and related problems	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
Stress solution for an arbitrarily shaped tunnel with a neighboring circular cavity	8
New classes of linearizable hyperelastic compressible materials	8
Approximate determination of shear stresses for a 2D beam made of a non-Green elastic solid	8
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables	7
The influence of time-fractional Maxwell’s equations based on Caputo fractional derivative on an electromagnetic solid cylinder under four different thermoelastic theorems	7
Nonlocal electrostatics and boundary charges in continuum limits of two-dimensional materials	7
Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization	7
Critical velocities of a three-layer composite tube incorporating the rotary inertia and material anisotropy	7
Quadratically nonlinear interactions of shear elastic waves in fiber-reinforced orthotropic materials	7
Optimizing stiffener configuration and buckling performance of composite panels under in-plane shear: A hybrid ANN-FEA approach	7
A one-pass predictor-corrector algorithm for the inverse Langevin function	7
Spatial decay of static problems as evolutive second-order equations	7
A mixed trigger volumetric growth law for cylindrical deformation in stressed configurations	7
Refined conditions for nonlocal micropolar wave propagation in layered media	7
Solid–liquid interface: Appearing induced supersonic head waves in liquid layers	7
About the structure of the discrete and continuous Eringen’s nonlocal elastica	7
Identification of an elliptic void in a piezoelectric layer by two types of loads	6
Lateral buckling of drill strings revisited: localised “snaking”	6
Asymptotic long-wave model for a high-contrast two-layered elastic plate	6
Special issue: “Integrated approaches for the mechanics of masonry structures: Novel strategies for experimental characterization, mathematical modelling and computer simulations”	6
Time discretization in visco-elastodynamics at large displacements and strains in the Eulerian frame	6

Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach	6
Interaction between an edge dislocation and a circular elastic inhomogeneity with Steigmann–Ogden interface	6
A note on the Hill–Ogden generalised strains	6
Finite element analysis of materially uniform dielectric elastomers	6
Intrinsic Marguerre–von Kármán equations	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
Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric bi-material strip	6
Finite deformation modeling of wrinkling in thin magnetoelastic sheets	6
Hydroelastic analysis of partially or totally immersed Mindlin plates with a hybrid isogeometric-based approach	6
A two-point Padé approximation for the in-plane buckling of a rotating beam	5
A nonlinear micropolar continuum model with diffusion–reaction equation for remodeling of bone with trabecular lattice microarchitecture	5
New trends in couple-stress hyperelasticity	5
The transient dynamic wave process in unidirectional composites	5
Gaussian curvature-induced localization in tape springs: A one-dimensional nonlinear model	5
Characterization of framed curves arising from local isometric immersions	5
Preface to “ Advances in mathematical theory of thin structures ” in memory of Professor Petr E. Tovstik	5
Extraordinarily high fractocohesive lengths in polymer-like networks	5
Analysis of a parabolic bilateral obstacle problem with non-monotone relations in the domain	5
An exact analysis of hygrothermoelastic materials containing a penny-shaped crack under changes in moisture content and temperature	5
Thermal pore pressures and stresses in a partially saturated porous medium: A local thermal non-equilibrium model	5
Mesoscale analysis of fracture process in brick masonry structures	5
On Spencer’s displacement function approach for problems in second-order elasticity theory	5
Concurrent topological optimization of multiple-phase materials with variable periodic patterns	5
A Volterra edge dislocation problem in second-order elasticity theory	5
A compressible liquid inclusion of arbitrary shape in an isotropic elastic matrix	5
Connections between the morphoelastic treatment of growth-induced instabilities and earlier hyperelastic treatments of buckling under thrust	5
Seismic barriers filled with solid elastic and granular materials: Comparative analysis	5
Intermittent chaos in the Lennard-Jones oscillator	5
Corrigendum to: On material-uniform elastic bodies with disclinations and their homogenization	5
A non-ordinary state decomposition method for three-body potential peridynamics model	5
Existence of time-dependent attractor of wave equation in locally uniform space	5
Couple-stress–based gradient theory of poroelasticity	5
Refined explicit solution for the stress field around an elliptical cylindrical tunnel with a moderate depth	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
Wave interaction coefficients for a cubic crystal	5
Reflection of plane waves from the free surface of a hard sphere-filled elastic metacomposite	5
A Naghdi-type linear model for rods with little regularity	5
Internal resonances of nanorods in presence of surface energy effect: Nonlinear torsional vibration	5
Plate-fluid-interaction modeling and wet vibration analysis	5
On the existence of Rayleigh waves with full impedance boundary condition	5
Addendum to “fourth-order tensor calculus operations and application to continuum mechanics”	5
Linear elastic diatomic multilattices: Three-dimensional constitutive modeling and solutions of the shift vector equation	4
Couple-stress effects in a thin film bonded to a half-space	4
Topology optimisation for vibration bandgaps of periodic composite plates using the modified couple stress continuum	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
On the inflation, bulging/necking bifurcation and post-bifurcation of a cylindrical membrane under limited extensibility of its constituents	4
Representation of solutions of strain gradient dual-phase-lag thermoelasticity and effects of scale-length parameter in half-space	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
A peridynamic approach to sulfate attack chemistry in cementitious materials: a 1D diffusion–reaction model with multiple species	4
New RVE concept and FFT methods in micromechanics of composites subjected to body force with compact support	4
On a dynamic frictional contact problem with normal damped response and long-term memory	4
Identifying composition-mechanics relations in human brain tissue based on neural-network-enhanced inverse parameter identification	4
Asymptotic analysis of the dynamic response of a linearly elastic shallow shell with Norton or Tresca friction	4
Biomimetic torene shells	4
Analysis of a new kind of elastic-rigid bilateral obstacle problem	4
Investigating infill density and pattern effects in additive manufacturing by characterizing metamaterials along the strain-gradient theory	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
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
Accurate linear analytical solutions for biaxial symmetry problems of rectangular thin plates using an innovative series expansion method	4
Assessment of homogenization solutions for dynamic problems of periodic plate structures	4
Towards automated image-based cohesive zone modeling of cracking in irregular masonry	4
Screw dislocations in a holed wedge	4
Energy distribution of bifurcated waveguide structure with planar and non-planar surfaces	4
Reflection phenomena of thermoelastic plane waves on a rigid surface within a size-dependent elastic media	4
Circular inclusion with a refined linearized version of Steigmann–Ogden model	4
Mechanical in-silico modeling of orthodontic tooth movement: A review of the boundary value problem	3
A coated hypotrochoidal compressible liquid inclusion neutral to a hydrostatic stress field after relaxation by interface slip and diffusion	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
Branching during axial compression histories of solid cylinders of time-dependent materials	3
Wave propagation in a linear transversely isotropic electroactive elastomer	3
Consistent linearization of micromorphic continuum theories	3
Derivation of an elastic shell model of order hn as n tends to infinity	3
Investigation of the influence of nano-sized particles on the entanglement distribution of a generic polymer nanocomposite using molecular dynamics	3
Thermoelastic behavior of a micropolar nanoscale medium with spatial-temporal nonlocality using a memory-dependent phase-delayed heat conduction model	3
Sensitivity analysis of an inflated and extended fiber-reinforced membrane with different natural configurations of its constituents	3
Interaction between an edge dislocation and a partially debonded circular elastic inhomogeneity with the debonded portion occupied by a liquid slit inclusion	3

Effective properties of heterogeneous materials as functions of contrast between properties of 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 strain elastoplastic behavior of uniform bodies based on micropolar theory	3
Phase-field regularized cohesive zone model using penalized numerical approach for quasi-brittle fracture	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
Dynamic nonlinear analysis and assessment of structures with friction base isolation devices	3
Analytical solution to the form-finding problem for tensegrities using the all minors theorem in algebra	3
Inertia-induced power law scaling in martensites	3
A hidden convexity in continuum mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity	3
Exponential decay of the discrete energy for the wave–wave coupled system	3
A unified invariant-based hyperelastic constitutive framework for hexagonal two-dimensional materials	3
Extracting non-equilibrium material properties in visco-hyperelastic polymers based on analytical stress solution	3
A two-dimensional four-node quadrilateral inverse element for shape sensing and structural health monitoring	3
The dilatation line in an elastic wedge	3
Thermoelastic vibration of Timoshenko beam under the modified couple stress theory and the Moore–Gibson–Thompson heat conduction model	3
Revisiting contorted aeolotropy: In commemoration of the birth centenary of Walter Noll (1925-2017)	3
On singular behaviour in a plane linear elastostatics problem	3
Universal relations for electro-magneto-active solids in shear and triaxial extension	3
Stability to the finite disturbance of the critical equilibrium for three struts	3
Semi-analytical method for computing effective thermoelastic properties of periodic composite materials with ellipsoidal inclusions	3
Mathematical and numerical analysis of Koiter elliptic shells in normal compliance contact	3
On recovering intragranular strain fields from grain-averaged strains obtained by high-energy X-ray diffraction microscopy	3
Localized necking and bulging of finitely deformed residually stressed solid cylinder	3
Mixtures and the hierarchical groupoid structure of n -fold groupoids	3
Twinning in pressurized porous elastomers	3
Modeling and research of hierarchical sandwich honeycomb metamaterials for enhanced broadband sound absorption	3
Uniqueness for some mixed problems of nonlinear elastostatics	3
Rate-dependent transversely isotropic magneto-viscoelastic solids	3
Electro-hyperelasticity with phase field for electric breakdown modeling	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
Does the capacitor analogy model in fracture mechanics of elastic dielectrics constitute an appropriate approximation?	3
Double horizon peridynamics	3
A phase-field model for electro-mechanical fracture with an open-source implementation of it using Gridap in Julia	3
Corneal biomechanics: A mathematical model for keratoconus	3
Nonlinear thermo-mechanical-diffusive vibrational response of a spherical microshell incorporating memory-dependent and size-dependent effects	3
A variational approach to the emergence of domain structures in magnetostrictive solids	3
Reduced linear isotropic viscoelastic Cosserat medium with combined viscosity as an acoustic metamaterial	3
Stress concentration due to an elliptic hole in a porous elastic plate	3
Uniqueness results for operators with a p -Laplacian structure	3