Mathematics and Mechanics of Solids

Article	Citations
On rigid inclusions and cavities in a layered composite containing cracks	36
A theory of coupled strain-gradient plasticity with species transport at small deformations	36
Exponential stability for a porous thermoelastic system of type II	28
Mechanical attributes of fractal dragons	27
Remarks on bifurcation of an inflated and extended swellable isotropic tube	23
Damped Normal Compliance (DNC) and the restitution coefficient	22
On the Rayleigh wave velocity in n -type piezoelectric semiconductors with enhanced flexoelectricity	21
On the representation of fourth- and higher-order anisotropic elasticity tensors in generalized continuum models	21
Surface-energetic piezoelectric materials and effective properties of composites in antiplane loading conditions	19
Basic errors in couple-stress hyperelasticity articles	17
Rigid-flexible coupling dynamics for bionic body-caudal-fin propulsion	17
The mathematics and mechanics of tug of war	17
The Treloar–Kearsley instability in a swollen or thermally expanded elastomeric sheet	16
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	16
Receding contact of the elastic weight strip and the rigid foundation under the action of a semi-infinite punch	15
Green’s functions of steady-state transversely isotropic hygro-thermo-magneto-piezoelectric cones	15
Asymptotic theory for the inextensional flexure and twist of plastically deformed thin rods	14
A general theory for anisotropic Kirchhoff–Love shells with in-plane bending of embedded fibers	14
Mode-III fracture of four cracks emanating from an elliptical hole in one-dimensional orthorhombic quasicrystals with piezoelectric effect	14
Finite deformation implementation of a mixed-mode single-integral type cohesive zone with reorienting surfaces of separation	14
Spectral formulations in nonlinear solids: A brief summary	14
Elastic body with thin nonhomogeneous inclusion in non-coercive case	13
Model anisotropic materials with ellipsoidal wave surfaces and their application to determination of elastic constants by acoustical methods	13
On the role of the invariant “I4” in conventional couple-stress hyperelasticity	13
Buckling of a column made of the functionally graded material with high-order polynomial mode shape	13

On the theory of sandwich shells, plates, and beams with light core	13
An elastic rod perfectly bonded to a fold on a von Karman elastic surface	12
Model-driven digital volume correlation: A step forward in experimental analyses of metamaterial deformations	12
Contact behaviors involving a nanobeam with surface effect by a rigid indenter	12
Impact contact mechanical characteristics assessment of piezoelectric material using the semi-analytical method	11
A continuum theory of elastic semiconductors with consideration of mobile charge inertia	11
Large deformation of soft dielectric cylindrical tubes under external radial electric field	11
Non-classical theory of electro-thermo-elasticity incorporating local mass displacement and nonlocal heat conduction	10
Examining avascular tumour growth dynamics: A variable-order non-local modelling perspective	10
An efficient stress-constrained sizing design optimization method with O ( n ) computational complexity	10
On admissible external loadings within the first and second strain gradient elasticity	10
Robust topology optimization of truss-like continuum structures under uncertain loads based on cloud model	10
Metal plasticity and nonlocal damage modeling: A thermodynamically consistent GSM approach with computational implications	10
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method	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
Consistent Euler–Bernoulli beam theory in statics for gradient elasticity based on Laplacians of stress and strain	9
Approximate determination of shear stresses for a 2D beam made of a non-Green elastic solid	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
Three-dimensional analytical solutions to the half infinite thermo-elastic body pressed by a rigid cylindrical structure in thermal environment	9
Comparison of the effects of a graded interphase and a homogeneous interphase on the macroscopic properties of a particulate composite	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
Tensor decomposition for modified quasi-linear viscoelastic models: Towards a fully non-linear theory	8
Stress solution for an arbitrarily shaped tunnel with a neighboring circular cavity	8
Coupled torsion and inflation of functionally graded and residually stressed Mooney–Rivlin hollow cylinders	8
A mixed trigger volumetric growth law for cylindrical deformation in stressed configurations	8
Critical velocities of a three-layer composite tube incorporating the rotary inertia and material anisotropy	8
New classes of linearizable hyperelastic compressible materials	8
Flexural–torsional buckling with enforced axis of twist and related problems	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
On the representation of solutions and the propagation of plane waves under strain gradient theory with dual-phase-lag thermoelasticity	8
Quadratically nonlinear interactions of shear elastic waves in fiber-reinforced orthotropic materials	8
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables	8
Intrinsic Marguerre–von Kármán equations	8
Finite deformation modeling of wrinkling in thin magnetoelastic sheets	7
Nonlocal electrostatics and boundary charges in continuum limits of two-dimensional materials	7
About the structure of the discrete and continuous Eringen’s nonlocal elastica	7
Special issue: “Integrated approaches for the mechanics of masonry structures: Novel strategies for experimental characterization, mathematical modelling and computer simulations”	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
Spatial decay of static problems as evolutive second-order equations	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
Dynamic fracture of a partially permeable crack in a functionally graded one-dimensional hexagonal piezoelectric quasicrystal under a time-harmonic elastic SH-wave	7
Gaussian curvature-induced localization in tape springs: A one-dimensional nonlinear model	7
Hydroelastic analysis of partially or totally immersed Mindlin plates with a hybrid isogeometric-based approach	7
A note on the Hill–Ogden generalised strains	7
Modeling the degeneration of the collagen architecture in a microstructural model of the human cornea	7
Optimizing stiffener configuration and buckling performance of composite panels under in-plane shear: A hybrid ANN-FEA approach	6

Identification of an elliptic void in a piezoelectric layer by two types of loads	6
Addendum to “fourth-order tensor calculus operations and application to continuum mechanics”	6
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach	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
Asymptotic long-wave model for a high-contrast two-layered elastic plate	6
Finite element analysis of materially uniform dielectric elastomers	6
Wave interaction coefficients for a cubic crystal	6
Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric bi-material strip	6
Refined conditions for nonlocal micropolar wave propagation in layered media	6
Lateral buckling of drill strings revisited: localised “snaking”	6
Time discretization in visco-elastodynamics at large displacements and strains in the Eulerian frame	6
A Volterra edge dislocation problem in second-order elasticity theory	6
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
Couple-stress–based gradient theory of poroelasticity	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
A two-point Padé approximation for the in-plane buckling of a rotating beam	5
Extraordinarily high fractocohesive lengths in polymer-like networks	5
Notes on rate equations in nonlinear continuum mechanics	5
A Naghdi-type linear model for rods with little regularity	5
Debonding of an elastic layer with a cavity from a rigid substrate caused by rotation of a bonded rigid cylinder	5
On a dynamic frictional contact problem with normal damped response and long-term memory	5
A nonlinear micropolar continuum model with diffusion–reaction equation for remodeling of bone with trabecular lattice microarchitecture	5
The transient dynamic wave process in unidirectional composites	5
Analysis of a parabolic bilateral obstacle problem with non-monotone relations in the domain	5
Refined explicit solution for the stress field around an elliptical cylindrical tunnel with a moderate depth	5
A non-ordinary state decomposition method for three-body potential peridynamics model	5
Preface to “Advances in mathematical theory of thin structures” in memory of Professor Petr E. Tovstik	5
Seismic barriers filled with solid elastic and granular materials: Comparative analysis	5
Internal resonances of nanorods in presence of surface energy effect: Nonlinear torsional vibration	5
Nonlinear elastic general integral equations in micromechanics of random structure composites	5
On Spencer’s displacement function approach for problems in second-order elasticity theory	5
New trends in couple-stress hyperelasticity	5
Mesoscale analysis of fracture process in brick masonry structures	5
On the existence of Rayleigh waves with full impedance boundary condition	5
Real-form solution for an anisotropic elastic elliptical inhomogeneity under uniform heat flux	5
Concurrent topological optimization of multiple-phase materials with variable periodic patterns	5
An exact analysis of hygrothermoelastic materials containing a penny-shaped crack under changes in moisture content and temperature	5
Existence of time-dependent attractor of wave equation in locally uniform space	5
Thermal pore pressures and stresses in a partially saturated porous medium: A local thermal non-equilibrium model	5
Plate-fluid-interaction modeling and wet vibration analysis	5
Corrigendum to: On material-uniform elastic bodies with disclinations and their homogenization	5
Screw dislocations in a holed wedge	4
New RVE concept and FFT methods in micromechanics of composites subjected to body force with compact support	4
Contact problem for an interface crack under action of a moving punch	4
Characterization of framed curves arising from local isometric immersions	4
Connections between the morphoelastic treatment of growth-induced instabilities and earlier hyperelastic treatments of buckling under thrust	4
UV light-driven deformations in photoactive fiber-reinforced planar annular membranes	4
Asymptotic analysis of the dynamic response of a linearly elastic shallow shell with Norton or Tresca friction	4
On the inflation, bulging/necking bifurcation and post-bifurcation of a cylindrical membrane under limited extensibility of its constituents	4
A hidden convexity in continuum mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity	4
Accurate linear analytical solutions for biaxial symmetry problems of rectangular thin plates using an innovative series expansion method	4
Reflection phenomena of thermoelastic plane waves on a rigid surface within a size-dependent elastic media	4
Linear elastic diatomic multilattices: Three-dimensional constitutive modeling and solutions of the shift vector equation	4
Identifying composition-mechanics relations in human brain tissue based on neural-network-enhanced inverse parameter identification	4
Biomimetic torene shells	4
Characterization of the material behavior and identification of effective elastic moduli based on molecular dynamics simulations of coarse-grained silica	4
Dynamic nonlinear analysis and assessment of structures with friction base isolation devices	4
Material swelling with partial confinement in the internally balanced generalization of hyperelasticity	4
Circular inclusion with a refined linearized version of Steigmann–Ogden model	4
Higher order imperfect interface models of conductive spherical interphase	4
Energy distribution of bifurcated waveguide structure with planar and non-planar surfaces	4
Suppressing thermal stress in the vicinity of a circular nano-inhomogeneity via the mechanism of size effects	4
Rules governing swarm robot in continuum mechanics	4
Topology optimisation for vibration bandgaps of periodic composite plates using the modified couple stress continuum	4
Couple-stress effects in a thin film bonded to a half-space	4
A peridynamic approach to sulfate attack chemistry in cementitious materials: a 1D diffusion–reaction model with multiple species	4
Mixtures and the hierarchical groupoid structure of n -fold groupoids	4
Analytical solution to the form-finding problem for tensegrities using the all minors theorem in algebra	4
Assessment of homogenization solutions for dynamic problems of periodic plate structures	4
A phase-field model for electro-mechanical fracture with an open-source implementation of it using Gridap in Julia	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
Investigation of the influence of nano-sized particles on the entanglement distribution of a generic polymer nanocomposite using molecular dynamics	3
Branching during axial compression histories of solid cylinders of time-dependent materials	3
Sensitivity analysis of an inflated and extended fiber-reinforced membrane with different natural configurations of its constituents	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
Investigating infill density and pattern effects in additive manufacturing by characterizing metamaterials along the strain-gradient theory	3
A coated hypotrochoidal compressible liquid inclusion neutral to a hydrostatic stress field after relaxation by interface slip and diffusion	3
Uniqueness results for operators with a p -Laplacian structure	3

A variational approach to the emergence of domain structures in magnetostrictive solids	3
Modeling and research of hierarchical sandwich honeycomb metamaterials for enhanced broadband sound absorption	3
Evolution of edge dislocations under elastic and inelastic strains: A nanoscale phase-field study	3
Mechanical in-silico modeling of orthodontic tooth movement: A review of the boundary value problem	3
Phase-field regularized cohesive zone model using penalized numerical approach for quasi-brittle fracture	3
Consistent linearization of micromorphic continuum theories	3
Electro-hyperelasticity with phase field for electric breakdown modeling	3
Effective properties of heterogeneous materials as functions of contrast between properties of constituents	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
Lagrange formal calculus as applied to Lagrange mechanics: An exercise in anachronism	3
A two-dimensional four-node quadrilateral inverse element for shape sensing and structural health monitoring	3
Localized necking and bulging of finitely deformed residually stressed solid cylinder	3
Exponential decay of the discrete energy for the wave–wave coupled system	3
Finite strain elastoplastic behavior of uniform bodies based on micropolar theory	3
Inertia-induced power law scaling in martensites	3
Double horizon peridynamics	3
Rate-dependent transversely isotropic magneto-viscoelastic solids	3
Understanding the role of interfacial mechanics on the wrinkling behavior of compressible bilayer structures under large plane deformations	3
Universal relations for electro-magneto-active solids in shear and triaxial extension	3
Towards automated image-based cohesive zone modeling of cracking in irregular masonry	3
Thermoelastic behavior of a micropolar nanoscale medium with spatial-temporal nonlocality using a memory-dependent phase-delayed heat conduction model	3
Representation of solutions of strain gradient dual-phase-lag thermoelasticity and effects of scale-length parameter in half-space	3
On recovering intragranular strain fields from grain-averaged strains obtained by high-energy X-ray diffraction microscopy	3
Corneal biomechanics: A mathematical model for keratoconus	3
A unified invariant-based hyperelastic constitutive framework for hexagonal two-dimensional materials	3
Derivation of an elastic shell model of order hn as n tends to infinity	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
Uniqueness for some mixed problems of nonlinear elastostatics	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
Nonlinear thermo-mechanical-diffusive vibrational response of a spherical microshell incorporating memory-dependent and size-dependent effects	3
Reduced linear isotropic viscoelastic Cosserat medium with combined viscosity as an acoustic metamaterial	3
Twinning in pressurized porous elastomers	3
On singular behaviour in a plane linear elastostatics problem	3
Analysis of a new kind of elastic-rigid bilateral obstacle problem	3
Revisiting contorted aeolotropy: In commemoration of the birth centenary of Walter Noll (1925-2017)	3
Stress concentration due to an elliptic hole in a porous elastic plate	3
Does the capacitor analogy model in fracture mechanics of elastic dielectrics constitute an appropriate approximation?	3
Interaction between an edge dislocation and a partially debonded circular elastic inhomogeneity with the debonded portion occupied by a liquid slit inclusion	3
Extracting non-equilibrium material properties in visco-hyperelastic polymers based on analytical stress solution	3
Mathematical and numerical analysis of Koiter elliptic shells in normal compliance contact	3