OOIR: Observatory of International Research

Papers

(The TQCC of Mathematics and Mechanics of Solids is 4. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-11-01 to 2024-11-01.)

Article	Citations
In-depth gaze at the astonishing mechanical behavior of bone: A review for designing bio-inspired hierarchical metamaterials	83
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution	59
A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part I – reconsideration of curvature-based flexoelectricity theory	37
An implicit constitutive relation for describing the small strain response of porous elastic solids whose material moduli are dependent on the density	29
Second-gradient continua: From Lagrangian to Eulerian and back	29
On a new class of non-Gaussian molecular-based constitutive models with limiting chain extensibility for incompressible rubber-like materials	28
Lagrangian descriptions of dissipative systems: a review	26
Nonlocal vibration of functionally graded nanoplates using a layerwise theory	25
Out-of-plane deformation reduction via inelastic hinges in fibrous metamaterials and simplified damage approach	25
Variety of fiber orientation tensors	23
The effect of pore shape on the Poisson ratio of porous materials	23
Investigating infill density and pattern effects in additive manufacturing by characterizing metamaterials along the strain-gradient theory	23
Finite element formulations for constrained spatial nonlinear beam theories	22
Bending analysis of functionally graded porous nanocomposite beams based on a non-local strain gradient theory	21
Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders	21
Modelling flexural wave propagation by the nonlocal strain gradient elasticity with fractional derivatives	20
Electrical analogs of curved beams and application to piezoelectric network damping	20
A non-classical model for first-ordershear deformation circular cylindrical thin shells incorporating microstructure and surface energy effects	18
Shear rupture mechanism and dissipation phenomena in bias-extension test of pantographic sheets: Numerical modeling and experiments	17
Boundary and interface conditions in the relaxed micromorphic model: Exploring finite-size metastructures for elastic wave control	17
A 3D extension of pantographic geometries to obtain metamaterial with semi-auxetic properties	16
On the decay of the energy for radial solutions in Moore–Gibson–Thompson thermoelasticity	15
The effect of local random defects on the response of pantographic sheets	15
A numerical investigation on impulse-induced nonlinear longitudinal waves in pantographic beams	15
The effect of pore sizes on the elastic behaviour of open-porous cellular materials	15

On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization	15
In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results	15
Rayleigh wave in layered piezoelectric semiconductor with consideration of PN junction effects	15
Characterization of the symmetry class of an elasticity tensor using polynomial covariants	14
An open-source implementation of a phase-field model for brittle fracture using Gridap in Julia	13
On the extension of the mode-matching procedure for modeling a wave-bearing cavity	13
Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation	13
A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: Clamped rectangular incompressible elastic plates	13
A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies	13
A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part II - variational formulations and applications in plates	12
Axisymmetric frictionless indentation of a rigid stamp into a semi-space with a surface energetic boundary	12
An updated Lagrangian Bézier finite element formulation for the analysis of slender beams	12
Porous and cracked rocks elasticity: Macroscopic poroelasticity and effective media theory	11
Influence of non-local diffusion in avascular tumour growth	11
On weak solutions of the boundary value problem within linear dilatational strain gradient elasticity for polyhedral Lipschitz domains	11
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	11
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables	10
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method	10
A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint	10
A phase-field model for electro-mechanical fracture with an open-source implementation of it using Gridap in Julia	10
Dynamics of pantographic sheet around the clamping region: experimental and numerical analysis	10
Expressions of nonlocal quantities and application to Stoneley waves in weakly nonlocal orthotropic elastic half-spaces	10
Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)	10
Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters	9
Static condensation of peridynamic heat conduction model	9
Local material symmetry group for first- and second-order strain gradient fluids	9
A theoretical scheme for shape-programming of thin hyperelastic plates through differential growth	9
On prismatic and bending bifurcations of fiber-reinforced elastic membranes under swelling with application to aortic aneurysms	9
Construction of piezoelectric and flexoelectric models of composites by asymptotic homogenization and application to laminates	9
Fiber orientation distributions based on planar fiber orientation tensors of fourth order	9
Dual percolations of electrical conductivity and electromagnetic interference shielding in progressively agglomerated CNT/polymer nanocomposites	9
Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas	9
Unusual deformation patterns in a second-gradient cylindrical lattice shell: Numerical experiments	8
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach	8
On the receding contact between a graded and a homogeneous layer due to a flat-ended indenter	8
Energy distribution of bifurcated waveguide structure with planar and non-planar surfaces	8
Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization	8
A phase-field model for thermo-mechanical fracture	8
Investigating wave transmission and reflection phenomena in pantographic lattices using a second-gradient continuum model	8
A note on viscoelastic bodies whose material properties depend on the density	8
Evolution of bone tissue based on angiogenesis as a crucial factor: New mathematical attempt	8
Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids	8
Peridynamic modelling of higher order functionally graded plates	7
Theoretical solution for the axial vibration of functionally graded double-lap adhesive joints	7
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	7
Electromechanical fields in a hollow piezoelectric cylinder under non-uniform load: flexoelectric effect	7
A temporal averaging–based approach to toughness homogenisation in heterogeneous material	7
A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains	7
Stress concentration due to an elliptic hole in a porous elastic plate	7
Flexoelectricity and the entropic force between fluctuating fluid membranes	7

Elastohydrodynamic lubrication line contact in couple-stress elasticity	6
Veering of Rayleigh–Lamb waves in orthorhombic materials	6
Novel porous structures with non-cubic symmetry: Synthesis, elastic anisotropy, and fatigue life behavior	6
Variational principles of nonlinear magnetoelastostatics and their correspondences	6
Plane waves in microstretch elastic solid with voids	6
Anisotropic imperfect interface in elastic particulate composite with initial stress	6
Limit analysis of masonry domes with oculus and lantern: A comparison between different approaches	6
Experimental analysis, discrete modeling and parameter optimization of SLS-printed bi-pantographic structures	6
High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales	6
Exact solution of a 2D problem of thermoelasticity without energy dissipation for an infinitely long cylinder	6
An analytical model for nanoscale flexoelectric doubly curved shells	6
On the statics and dynamics of granular-microstructured rods with higher order effects	6
Analysis of randomly damaged triangular beam lattice: elastic field and effective properties	6
Two-field variational formulations for a class of nonlinear mechanical models	6
Asymptotically correct boundary conditions for the higher-order theory of plate bending	6
Parametric analysis of masonry arches following a limit analysis approach: Influence of joint friction, pier texture, and arch shallowness	6
On variational principles in coupled strain-gradient elasticity	6
A refined model for the buckling of film/substrate bilayers	6
Quadratic-stretch elasticity	6
Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching	6
Post-buckling of an elastic half-space coated by double layers	5
Approximation of dissipative systems by elastic chains: Numerical evidence	5
Centenary of two pioneering theories in mechanics	5
Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness – Part II: determination of the spherical part of the couple-stress	5
Modeling and analysis of a magnetoelastic annular membrane placed in an azimuthal magnetic field	5
A new model of bone remodeling and turnover set up in the framework of generalized continuum mechanics	5
Elastic body with thin nonhomogeneous inclusion in non-coercive case	5
Elastodynamics of a coated half-space under a sliding contact	5
Seismic barriers filled with solid elastic and granular materials: Comparative analysis	5
Modeling the degeneration of the collagen architecture in a microstructural model of the human cornea	5
Critical velocities and displacements of anisotropic tubes under a moving pressure	5
Three-dimensional thermo-electro-elastic field in one-dimensional hexagonal piezoelectric quasi-crystal weakened by an elliptical crack	5
Polynomial stability for the equations of porous elasticity in one-dimensional bounded domains	5
Effective nonlocal behavior of peridynamic random structure composites subjected to body forces with compact support and related prospective problems	5
Matrix-embedded metamaterials: Applications for the architectural heritage	5
Anisotropic stress softening of electromagnetic Mullins materials	5
An experimental study of morphological formation in bilayered tubular structures driven by swelling/growth	5
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	5
A simplified metaelastic model for coated sphere-filled random composites	4
Interaction between an edge dislocation and a circular incompressible liquid inclusion	4
Accretion and ablation in deformable solids with an Eulerian description: examples using the method of characteristics	4
Decomposition of third-order constitutive tensors	4
A slender body theory for the motion of special Cosserat filaments in Stokes flow	4
Upscaling and spatial localization of non-local energies with applications to crystal plasticity	4
A thermodynamical model for paleomagnetism in Earth’s crust	4
Surface instabilities of soft dielectric elastomers with implementation of electrode stiffness	4
Predicting peak stresses in microstructured materials using convolutional encoder–decoder learning	4
Gradient plasticity in isotropic solids	4
Multicoated elastic inhomogeneities of arbitrary shape neutral to multiple fields	4
Lateral buckling of drill strings revisited: localised “snaking”	4
Finite element study of V-shaped crack-tip fields in a three-dimensional nonlinear strain-limiting elastic body	4
Impact response of a thin shallow doubly curved linear viscoelastic shell rectangular in plan	4
Fluid–structure coupled response of dynamical surfaces tailored in a flexible shell	4
Reflection and refraction of plane wave at the junction of two dissimilar pre-stressed functionally graded piezothermoelastic media under different interfacial conditions	4
Linear peridynamics for triclinic materials	4
A theoretical method of mechanical analysis for a circular tunnel reinforced by fully grouted rock bolts	4
Experimental and numerical investigation of the deformation behaviour of cables and thin beam-like structures under multi-axial loading	4
A general contact stiffness model for elastic bodies and its application in time-varying mesh stiffness of gear drive	4
The pull-in instability and eigenfrequency variations of a graphene resonator under electrostatic loading	4
Effects of a tilted flat-ended punch on the receding contact between a graded and a homogeneous layer	4
An asymptotic modeling and resolution framework for morphology evolutions of multiple-period post-buckling modes in bilayers	4
Material swelling with partial confinement in the internally balanced generalization of hyperelasticity	4
Effect of a thermodynamically consistent interface stress on thermal-induced nanovoid evolution in NiAl	4
Rocking forced displacement of a rigid disc embedded in a functionally graded transversely isotropic half-space	4
The universal program of linear elasticity	4
A one-dimensional model for mechanical coupling metamaterials using couple stress theory	4
The effect of material anisotropy on the mechanics of a thin-film/substrate system under mechanical and thermal loads	4
New trends in couple-stress hyperelasticity	4
Investigation of the influence of nano-sized particles on the entanglement distribution of a generic polymer nanocomposite using molecular dynamics	4