Mathematics and Mechanics of Solids

Article	Citations
In-depth gaze at the astonishing mechanical behavior of bone: A review for designing bio-inspired hierarchical metamaterials	76
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution	55
Three-point bending test of pantographic blocks: numerical and experimental investigation	50
Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?	49
Stiffness optimization in nonlinear pantographic structures	38
A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part I – reconsideration of curvature-based flexoelectricity theory	30
Computation of brittle fracture propagation in strain gradient materials by the FEniCS library	27
A domain of influence theorem under MGT thermoelasticity theory	26
Analytical solutions of a spherical nanoinhomogeneity under far-field unidirectional loading based on Steigmann–Ogden surface model	25
An implicit constitutive relation for describing the small strain response of porous elastic solids whose material moduli are dependent on the density	25
On a new class of non-Gaussian molecular-based constitutive models with limiting chain extensibility for incompressible rubber-like materials	23
Out-of-plane deformation reduction via inelastic hinges in fibrous metamaterials and simplified damage approach	23
Second-gradient continua: From Lagrangian to Eulerian and back	23
The effect of a pre-existing nanovoid on martensite formation and interface propagation: a phase field study	21
Finite element formulations for constrained spatial nonlinear beam theories	20
Lagrangian descriptions of dissipative systems: a review	19
Electrical analogs of curved beams and application to piezoelectric network damping	19
The effect of pore shape on the Poisson ratio of porous materials	18
A new isogeometric Timoshenko beam model incorporating microstructures and surface energy effects	18
Variety of fiber orientation tensors	17
Nonlocal vibration of functionally graded nanoplates using a layerwise theory	16
Peridynamics boundary condition treatments via the pseudo-layer enrichment method and variable horizon approach	16
Investigating infill density and pattern effects in additive manufacturing by characterizing metamaterials along the strain-gradient theory	16
Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders	15
Bending analysis of functionally graded porous nanocomposite beams based on a non-local strain gradient theory	15

Asymptotic stability for a laminated beam with structural damping and infinite memory	15
A numerical investigation on impulse-induced nonlinear longitudinal waves in pantographic beams	15
On the decay of the energy for radial solutions in Moore–Gibson–Thompson thermoelasticity	14
Modelling flexural wave propagation by the nonlocal strain gradient elasticity with fractional derivatives	14
Shear rupture mechanism and dissipation phenomena in bias-extension test of pantographic sheets: Numerical modeling and experiments	14
Likely striping in stochastic nematic elastomers	14
A non-classical model for first-ordershear deformation circular cylindrical thin shells incorporating microstructure and surface energy effects	14
Boundary and interface conditions in the relaxed micromorphic model: Exploring finite-size metastructures for elastic wave control	14
Characterization of the symmetry class of an elasticity tensor using polynomial covariants	12
A 3D extension of pantographic geometries to obtain metamaterial with semi-auxetic properties	12
On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization	12
In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results	11
Porous and cracked rocks elasticity: Macroscopic poroelasticity and effective media theory	11
A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: Clamped rectangular incompressible elastic plates	11
The effect of local random defects on the response of pantographic sheets	11
Commented translation of Erwin Schrödinger’s paper ‘On the dynamics of elastically coupled point systems’ (Zur Dynamik elastisch gekoppelter Punktsysteme)	11
An updated Lagrangian Bézier finite element formulation for the analysis of slender beams	11
A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies	11
Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation	10
Riemannian and Euclidean material structures in anelasticity	10
Free vibration analysis of nonlocal nanobeams: a comparison of the one-dimensional nonlocal integral Timoshenko beam theory with the two-dimensional nonlocal integral elasticity theory	10
On a consistent rod theory for a linearized anisotropic elastic material: I. Asymptotic reduction method	10
On the extension of the mode-matching procedure for modeling a wave-bearing cavity	10
Landweber–Fridman algorithms for the Cauchy problem in steady-state anisotropic heat conduction	9
Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters	9
An open-source implementation of a phase-field model for brittle fracture using Gridap in Julia	9
On weak solutions of the boundary value problem within linear dilatational strain gradient elasticity for polyhedral Lipschitz domains	9
A review of de Broglie particle–wave mechanical systems	9
Dynamics of pantographic sheet around the clamping region: experimental and numerical analysis	9
The effect of pore sizes on the elastic behaviour of open-porous cellular materials	9
Influence of non-local diffusion in avascular tumour growth	9
A theoretical scheme for shape-programming of thin hyperelastic plates through differential growth	8
Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)	8
On the contact problem of a moving rigid cylindrical punch sliding over an orthotropic layer bonded to an isotropic half plane	8
Local sensitivity analysis of the “membrane shape equation” derived from the Helfrich energy	8
On prismatic and bending bifurcations of fiber-reinforced elastic membranes under swelling with application to aortic aneurysms	8
Axisymmetric frictionless indentation of a rigid stamp into a semi-space with a surface energetic boundary	8
Stepwise analysis of pantographic beams subjected to impulsive loads	8
A state-based peridynamic formulation for functionally graded Kirchhoff plates	8
Theoretical solution for the axial vibration of functionally graded double-lap adhesive joints	7
Rayleigh wave in layered piezoelectric semiconductor with consideration of PN junction effects	7
Elastic and elasto-plastic analysis of Ti6Al4V micro-lattice structures under compressive loads	7
Elastoplastic analysis in functionally graded thick-walled rotating transversely isotropic cylinder under a radial temperature gradient and uniform pressure	7
Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas	7
Fiber orientation distributions based on planar fiber orientation tensors of fourth order	7
Irreducible matrix resolution for symmetry classes of elasticity tensors	7
Static condensation of peridynamic heat conduction model	7
A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation	7
A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part II - variational formulations and applications in plates	7
A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint	7

Four states of matter and centrally symmetric de Broglie particle–wave mechanical systems	7
Surface and interfacial anti-plane waves in micropolar solids with surface energy	7
Flexoelectricity and the entropic force between fluctuating fluid membranes	7
Local material symmetry group for first- and second-order strain gradient fluids	7
Analysis of randomly damaged triangular beam lattice: elastic field and effective properties	6
A note on viscoelastic bodies whose material properties depend on the density	6
Stress concentration due to an elliptic hole in a porous elastic plate	6
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method	6
Two versions of the extended Hill’s lemma for non-Cauchy continua based on the couple stress theory	6
Interdiffusion in many dimensions: mathematical models, numerical simulations and experiment	6
Quadratic-stretch elasticity	6
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach	6
Electromechanical fields in a hollow piezoelectric cylinder under non-uniform load: flexoelectric effect	6
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables	6
Dual percolations of electrical conductivity and electromagnetic interference shielding in progressively agglomerated CNT/polymer nanocomposites	6
On the statics and dynamics of granular-microstructured rods with higher order effects	6
Compatibility conditions of continua using Riemann–Cartan geometry	6
Two-field variational formulations for a class of nonlinear mechanical models	6
Ramberg–Osgood material behavior expression and large deflections of Euler beams	6
Model order reduction of linear peridynamic systems using static condensation	6
Exact solution of a 2D problem of thermoelasticity without energy dissipation for an infinitely long cylinder	6
A temporal averaging–based approach to toughness homogenisation in heterogeneous material	6
Construction of piezoelectric and flexoelectric models of composites by asymptotic homogenization and application to laminates	6
Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization	5
Evolution of bone tissue based on angiogenesis as a crucial factor: New mathematical attempt	5
On the receding contact between a graded and a homogeneous layer due to a flat-ended indenter	5
Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids	5
A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains	5
Elastohydrodynamic lubrication line contact in couple-stress elasticity	5
Peridynamic modelling of higher order functionally graded plates	5
Asymptotic derivation of refined dynamic equations for a thin elastic annulus	5
Experimental analysis, discrete modeling and parameter optimization of SLS-printed bi-pantographic structures	5
Anisotropic imperfect interface in elastic particulate composite with initial stress	5
Investigating wave transmission and reflection phenomena in pantographic lattices using a second-gradient continuum model	5
Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching	5
Some comparisons between heterogeneous and homogeneous layers for nonlinear SH waves in terms of heterogeneous and nonlinear effects	5
Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness – Part II: determination of the spherical part of the couple-stress	5
High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales	5
Polynomial stability for the equations of porous elasticity in one-dimensional bounded domains	5
Energy distribution of bifurcated waveguide structure with planar and non-planar surfaces	5
Centenary of two pioneering theories in mechanics	5
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	5
Unusual deformation patterns in a second-gradient cylindrical lattice shell: Numerical experiments	5
Asymptotic behavior of the solution of an axisymmetric problem of elasticity theory for a sphere with variable elasticity modules	4
On the equilibrium of multiply-connected elastic bodies	4
A phase-field model for thermo-mechanical fracture	4
A phase-field model for electro-mechanical fracture with an open-source implementation of it using Gridap in Julia	4
Material swelling with partial confinement in the internally balanced generalization of hyperelasticity	4
Electric features of dislocations and electric force between dislocations	4
Rocking forced displacement of a rigid disc embedded in a functionally graded transversely isotropic half-space	4
Anisotropic stress softening of electromagnetic Mullins materials	4
A simplified metaelastic model for coated sphere-filled random composites	4
Lower bound limit and shakedown analysis of orthotropic material	4
Asymptotically correct boundary conditions for the higher-order theory of plate bending	4
An asymptotic modeling and resolution framework for morphology evolutions of multiple-period post-buckling modes in bilayers	4
A thermodynamical model for paleomagnetism in Earth’s crust	4
On Rayleigh wave field induced by surface stresses under the effect of gravity	4
Uniformity of the Green operator and Eshelby tensor for hyperboloidal domains in infinite media	4
Veering of Rayleigh–Lamb waves in orthorhombic materials	4
Expressions of nonlocal quantities and application to Stoneley waves in weakly nonlocal orthotropic elastic half-spaces	4
A model for a solid undergoing rate-independent dissipative mechanical processes	4
Post-buckling of an elastic half-space coated by double layers	4
Elastodynamics of a coated half-space under a sliding contact	4
Surface instabilities of soft dielectric elastomers with implementation of electrode stiffness	4
A slender body theory for the motion of special Cosserat filaments in Stokes flow	3
Seismic barriers filled with solid elastic and granular materials: Comparative analysis	3
A poroelasticity model for interstitial fluid flow and matrix deformation in a non-homogeneous solid tumor	3
Homogenization of the wave equation with non-uniformly oscillating coefficients	3
A general contact stiffness model for elastic bodies and its application in time-varying mesh stiffness of gear drive	3
Experimental and numerical investigation of the deformation behaviour of cables and thin beam-like structures under multi-axial loading	3
On variational principles in coupled strain-gradient elasticity	3
Limit analysis of masonry domes with oculus and lantern: A comparison between different approaches	3
Modeling and analysis of a magnetoelastic annular membrane placed in an azimuthal magnetic field	3
The effect of surface free energy on the fracture behaviors of nanoparticle-reinforced composites	3
Fluid–structure coupled response of dynamical surfaces tailored in a flexible shell	3
On equilibrium equations and their perturbations using three different variational formulations of nonlinear electroelastostatics	3
Decomposition of third-order constitutive tensors	3
Reflection and refraction of plane wave at the junction of two dissimilar pre-stressed functionally graded piezothermoelastic media under different interfacial conditions	3
Approximation of dissipative systems by elastic chains: Numerical evidence	3
The pull-in instability and eigenfrequency variations of a graphene resonator under electrostatic loading	3

The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture	3
A damaged non-homogeneous Timoshenko beam model for a dam subjected to aging effects	3
The effect of material anisotropy on the mechanics of a thin-film/substrate system under mechanical and thermal loads	3
Application of micropolar theory to the description of the skin effect due to hydrogen saturation	3
Predicting peak stresses in microstructured materials using convolutional encoder–decoder learning	3
Interaction between an edge dislocation and a circular incompressible liquid inclusion	3
Fractional derivative modeling of time-varying viscosity materials considering initial loading ramp in real experiments	3
Logarithmic convexity for third order in time partial differential equations	3
Variational principles of nonlinear magnetoelastostatics and their correspondences	3
On a consistent rod theory for a linearized anisotropic elastic material II. Verification and parametric study	3
Interfacial delamination-induced unidirectional propagation of guided waves in multilayered media	3
A refined model for the buckling of film/substrate bilayers	3
Effective nonlocal behavior of peridynamic random structure composites subjected to body forces with compact support and related prospective problems	3
Linear peridynamics for triclinic materials	3
A theoretical method of mechanical analysis for a circular tunnel reinforced by fully grouted rock bolts	3
Matrix-embedded metamaterials: Applications for the architectural heritage	3
Multicoated elastic inhomogeneities of arbitrary shape neutral to multiple fields	3
A new approach to curvature measures in linear shell theories	3
Gradient plasticity in isotropic solids	3
Feedback control for non-stationary 3D Navier–Stokes–Voigt equations	3
Phase field model for electrically induced damage using microforce theory	3
An experimental study of morphological formation in bilayered tubular structures driven by swelling/growth	3
Modelling and analysis of piezoelectric actuators with partially debonded adhesive layers	3
Novel porous structures with non-cubic symmetry: Synthesis, elastic anisotropy, and fatigue life behavior	3
Critical velocities and displacements of anisotropic tubes under a moving pressure	3
A new model of bone remodeling and turnover set up in the framework of generalized continuum mechanics	3
Diffuse approximation for identification of the mechanical properties of microcapsules	3
Plane waves in microstretch elastic solid with voids	3
A generalized mechanical model using stress–strain duality at large strain for amorphous polymers	3
The universal program of linear elasticity	3