Mathematics and Mechanics of Solids

Article	Citations
Exponential stability for a porous thermoelastic system of type II	28
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	25
Receding contact of the elastic weight strip and the rigid foundation under the action of a semi-infinite punch	25
The Treloar–Kearsley instability in a swollen or thermally expanded elastomeric sheet	23
On rigid inclusions and cavities in a layered composite containing cracks	22
A theory of coupled strain-gradient plasticity with species transport at small deformations	20
The mathematics and mechanics of tug of war	20
On the representation of fourth- and higher-order anisotropic elasticity tensors in generalized continuum models	18
Finite deformation implementation of a mixed-mode single-integral type cohesive zone with reorienting surfaces of separation	16
Surface-energetic piezoelectric materials and effective properties of composites in antiplane loading conditions	16
Mechanical attributes of fractal dragons	16
Rigid-flexible coupling dynamics for bionic body-caudal-fin propulsion	15
Remarks on bifurcation of an inflated and extended swellable isotropic tube	14
Damped Normal Compliance (DNC) and the restitution coefficient	14
Basic errors in couple-stress hyperelasticity articles	14
A hybrid experimental–differential equation model for predicting mechanical properties of FDM-printed PLA using Lucas polynomial collocation	14
On the Rayleigh wave velocity in n -type piezoelectric semiconductors with enhanced flexoelectricity	14
Elastic body with thin nonhomogeneous inclusion in non-coercive case	13
Buckling of a column made of the functionally graded material with high-order polynomial mode shape	13
Asymptotic theory for the inextensional flexure and twist of plastically deformed thin rods	13
On the theory of sandwich shells, plates, and beams with light core	12
A general theory for anisotropic Kirchhoff–Love shells with in-plane bending of embedded fibers	12
An elastic rod perfectly bonded to a fold on a von Karman elastic surface	12
On the role of the invariant “I 4 ” in conventional couple-stress hyperelasticity	11
Contact behaviors involving a nanobeam with surface effect by a rigid indenter	11

Mode-III fracture of four cracks emanating from an elliptical hole in one-dimensional orthorhombic quasicrystals with piezoelectric effect	11
Sensitivity and performance of transverse wave transmission in third-gradient one-dimensional continua	10
Model-driven digital volume correlation: A step forward in experimental analyses of metamaterial deformations	10
Linear spring model to analyse the effect of interfacial imperfection on the propagation and attenuation of Love-type waves in viscoelastic-FGPM bedded structure	10
Large deformation of soft dielectric cylindrical tubes under external radial electric field	10
Comparison of the effects of a graded interphase and a homogeneous interphase on the macroscopic properties of a particulate composite	10
An efficient stress-constrained sizing design optimization method with O ( n ) computational complexity	10
Examining avascular tumour growth dynamics: A variable-order non-local modelling perspective	10
Spectral formulations in nonlinear solids: A brief summary	10
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method	10
Three-dimensional analytical solutions to the half infinite thermo-elastic body pressed by a rigid cylindrical structure in thermal environment	10
Consistent Euler–Bernoulli beam theory in statics for gradient elasticity based on Laplacians of stress and strain	10
Metal plasticity and nonlocal damage modeling: A thermodynamically consistent GSM approach with computational implications	9
Non-convex Gao model for nonlinear elastic beam with inclined non-penetrating crack	9
Intrinsic structure of the cotangent bundle of a locally Euclidean differential space	9
Impact contact mechanical characteristics assessment of piezoelectric material using the semi-analytical method	9
Computational integration and experimental validation of a two-length scale model for accurate prediction of steels’ plastic behavior during phase transformation	9
A continuum theory of elastic semiconductors with consideration of mobile charge inertia	9
Robust topology optimization of truss-like continuum structures under uncertain loads based on cloud model	8
Quadratically nonlinear interactions of shear elastic waves in fiber-reinforced orthotropic materials	8
Tensor decomposition for modified quasi-linear viscoelastic models: Towards a fully non-linear theory	8
Coupled torsion and inflation of functionally graded and residually stressed Mooney–Rivlin hollow cylinders	8
On localized modes of free anti-plane vibrations of an ultra-thin plate coated with an inhomogeneous nanofilm with surface energy	8
On admissible external loadings within the first and second strain gradient elasticity	8
Analysis of Berger nonlinear elastic static plate bending of rectangular plates	8
New classes of linearizable hyperelastic compressible materials	8
Non-classical theory of electro-thermo-elasticity incorporating local mass displacement and nonlocal heat conduction	8
Using asymptotic homogenization to determine effective thermo-viscoelastic properties of fibrous composites with interphase layer	8
On the representation of solutions and the propagation of plane waves under strain gradient theory with dual-phase-lag thermoelasticity	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	7
Mathematical analysis of fracture behavior for multiple offset interfacial cracks in FGMEE-FGM layers	7
Spatial decay of static problems as evolutive second-order equations	7
Intrinsic Marguerre–von Kármán equations	7
Finite element analysis of materially uniform dielectric elastomers	7
Critical velocities of a three-layer composite tube incorporating the rotary inertia and material anisotropy	7
Refined conditions for nonlocal micropolar wave propagation in layered media	7
A mixed trigger volumetric growth law for cylindrical deformation in stressed configurations	7
Asymptotic long-wave model for a high-contrast two-layered elastic plate	7
Time discretization in visco-elastodynamics at large displacements and strains in the Eulerian frame	7
Stress solution for an arbitrarily shaped tunnel with a neighboring circular cavity	7
Approximate determination of shear stresses for a 2D beam made of a non-Green elastic solid	7
Nonlocal electrostatics and boundary charges in continuum limits of two-dimensional materials	7
Interaction between an edge dislocation and a circular elastic inhomogeneity with Steigmann–Ogden interface	7
Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric bi-material strip	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”	6
Lateral buckling of drill strings revisited: localised “snaking”	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
A note on the Hill–Ogden generalised strains	6

Optimizing stiffener configuration and buckling performance of composite panels under in-plane shear: A hybrid ANN-FEA approach	6
Finite deformation modeling of wrinkling in thin magnetoelastic sheets	6
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach	6
About the structure of the discrete and continuous Eringen’s nonlocal elastica	6
Hydroelastic analysis of partially or totally immersed Mindlin plates with a hybrid isogeometric-based approach	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
Gaussian curvature-induced localization in tape springs: A one-dimensional nonlinear model	6
Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization	6
Solid–liquid interface: Appearing induced supersonic head waves in liquid layers	6
Two axisymmetric thermoelastic contact problems of functionally graded coating with arbitrarily varying properties on an elastic half-space	6
Connections between the morphoelastic treatment of growth-induced instabilities and earlier hyperelastic treatments of buckling under thrust	5
Analysis of a parabolic bilateral obstacle problem with non-monotone relations in the domain	5
Existence of time-dependent attractor of wave equation in locally uniform space	5
New trends in couple-stress hyperelasticity	5
On the existence of Rayleigh waves with full impedance boundary condition	5
A compressible liquid inclusion of arbitrary shape in an isotropic elastic matrix	5
Characterization of framed curves arising from local isometric immersions	5
Reflection of plane waves from the free surface of a hard sphere-filled elastic metacomposite	5
Extraordinarily high fractocohesive lengths in polymer-like networks	5
A closed-form solution of the Lame equation of elasticity	5
A non-ordinary state decomposition method for three-body potential peridynamics model	5
A Volterra edge dislocation problem in second-order elasticity theory	5
Concurrent topological optimization of multiple-phase materials with variable periodic patterns	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
An exact analysis of hygrothermoelastic materials containing a penny-shaped crack under changes in moisture content and temperature	5
Couple-stress–based gradient theory of poroelasticity	5
Plate-fluid-interaction modeling and wet vibration analysis	5
Intermittent chaos in the Lennard-Jones oscillator	5
A nonlinear micropolar continuum model with diffusion–reaction equation for remodeling of bone with trabecular lattice microarchitecture	5
Addendum to “fourth-order tensor calculus operations and application to continuum mechanics”	5
Refined explicit solution for the stress field around an elliptical cylindrical tunnel with a moderate depth	5
A two-point Padé approximation for the in-plane buckling of a rotating beam	5
Mesoscale analysis of fracture process in brick masonry structures	5
Corrigendum to: On material-uniform elastic bodies with disclinations and their homogenization	5
The transient dynamic wave process in unidirectional composites	5
A Naghdi-type linear model for rods with little regularity	5
Representation of solutions of strain gradient dual-phase-lag thermoelasticity and effects of scale-length parameter in half-space	4
Deformation in axisymmetric nonlocal isotropic thermoelastic diffusive solid due to expanding ring load in time domain	4
Screw dislocations in a holed wedge	4
Biomimetic torene shells	4
Thermal pore pressures and stresses in a partially saturated porous medium: A local thermal non-equilibrium model	4
Accurate continuous models for the dynamics of a lattice meta-materials with long-range interactions	4
Identifying composition-mechanics relations in human brain tissue based on neural-network-enhanced inverse parameter identification	4
Debonding of an elastic layer with a cavity from a rigid substrate caused by rotation of a bonded rigid cylinder	4
Couple-stress effects in a thin film bonded to a half-space	4
Accurate linear analytical solutions for biaxial symmetry problems of rectangular thin plates using an innovative series expansion method	4
A hidden convexity in continuum mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity	4
Suppressing thermal stress in the vicinity of a circular nano-inhomogeneity via the mechanism of size effects	4
Assessment of homogenization solutions for dynamic problems of periodic plate structures	4
Asymptotic analysis of the dynamic response of a linearly elastic shallow shell with Norton or Tresca friction	4
New RVE concept and FFT methods in micromechanics of composites subjected to body force with compact support	4
Circular inclusion with a refined linearized version of Steigmann–Ogden model	4
Notes on rate equations in nonlinear continuum mechanics	4
Topology optimisation for vibration bandgaps of periodic composite plates using the modified couple stress continuum	4
Contact problem for an interface crack under action of a moving punch	4
A peridynamic approach to sulfate attack chemistry in cementitious materials: a 1D diffusion–reaction model with multiple species	4
Analysis of a new kind of elastic-rigid bilateral obstacle problem	4
Energy distribution of bifurcated waveguide structure with planar and non-planar surfaces	4
UV light-driven deformations in photoactive fiber-reinforced planar annular membranes	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
On a dynamic frictional contact problem with normal damped response and long-term memory	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
Reflection phenomena of thermoelastic plane waves on a rigid surface within a size-dependent elastic media	4
Does the capacitor analogy model in fracture mechanics of elastic dielectrics constitute an appropriate approximation?	3
Derivation of an elastic shell model of order hn as n tends to infinity	3
A phase-field model for electro-mechanical fracture with an open-source implementation of it using Gridap in Julia	3
Universal relations for electro-magneto-active solids in shear and triaxial extension	3
Rate-dependent transversely isotropic magneto-viscoelastic solids	3
Thermoelastic behavior of a micropolar nanoscale medium with spatial-temporal nonlocality using a memory-dependent phase-delayed heat conduction model	3
Reduced linear isotropic viscoelastic Cosserat medium with combined viscosity as an acoustic metamaterial	3
Modeling and research of hierarchical sandwich honeycomb metamaterials for enhanced broadband sound absorption	3
Thermoelastic vibration of Timoshenko beam under the modified couple stress theory and the Moore–Gibson–Thompson heat conduction model	3
Nonlinear thermo-mechanical-diffusive vibrational response of a spherical microshell incorporating memory-dependent and size-dependent effects	3
Analytical solution to the form-finding problem for tensegrities using the all minors theorem in algebra	3
Exponential decay of the discrete energy for the wave–wave coupled system	3
A coated hypotrochoidal compressible liquid inclusion neutral to a hydrostatic stress field after relaxation by interface slip and diffusion	3
Interaction between an edge dislocation and a partially debonded circular elastic inhomogeneity with the debonded portion occupied by a liquid slit inclusion	3
Towards automated image-based cohesive zone modeling of cracking in irregular masonry	3

Effects of interface elasticity and residual tension on the thermal stress distribution around an inclusion of general shape in a thermoelastic matrix	3
Phase-field regularized cohesive zone model using penalized numerical approach for quasi-brittle fracture	3
Electro-hyperelasticity with phase field for electric breakdown modeling	3
A two-dimensional four-node quadrilateral inverse element for shape sensing and structural health monitoring	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
Localized necking and bulging of finitely deformed residually stressed solid cylinder	3
Corneal biomechanics: A mathematical model for keratoconus	3
Uniqueness for some mixed problems of nonlinear elastostatics	3
A variational approach to the emergence of domain structures in magnetostrictive solids	3
Mathematical and numerical analysis of Koiter elliptic shells in normal compliance contact	3
Dynamic nonlinear analysis and assessment of structures with friction base isolation devices	3
Existence of solutions for a viscous hybrid quantum system for arbitrary large current density	3
Stability to the finite disturbance of the critical equilibrium for three struts	3
Twinning in pressurized porous elastomers	3
Sensitivity analysis of an inflated and extended fiber-reinforced membrane with different natural configurations of its constituents	3
Mechanical in-silico modeling of orthodontic tooth movement: A review of the boundary value problem	3
Effective properties of heterogeneous materials as functions of contrast between properties of constituents	3
Mixtures and the hierarchical groupoid structure of n -fold groupoids	3
Evolution of edge dislocations under elastic and inelastic strains: A nanoscale phase-field study	3
Wave propagation in a linear transversely isotropic electroactive elastomer	3
Consistent linearization of micromorphic continuum theories	3
Bayesian operator learning for nonlocal damage mechanics and internal length scale identification	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
Double horizon peridynamics	3
On recovering intragranular strain fields from grain-averaged strains obtained by high-energy X-ray diffraction microscopy	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
Inertia-induced power law scaling in martensites	3
Revisiting contorted aeolotropy: In commemoration of the birth centenary of Walter Noll (1925-2017)	3
Finite strain elastoplastic behavior of uniform bodies based on micropolar theory	3
Uniqueness results for operators with a p -Laplacian structure	3
The dilatation line in an elastic wedge	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
A unified invariant-based hyperelastic constitutive framework for hexagonal two-dimensional materials	3
On singular behaviour in a plane linear elastostatics problem	3
On the inflation, bulging/necking bifurcation and post-bifurcation of a cylindrical membrane under limited extensibility of its constituents	3
Investigation of the influence of nano-sized particles on the entanglement distribution of a generic polymer nanocomposite using molecular dynamics	3
Application of machine learning method to predict debonding in graphene-reinforced polymer nanocomposite	3
Extracting non-equilibrium material properties in visco-hyperelastic polymers based on analytical stress solution	3