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 2020-05-01 to 2024-05-01.)

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	56
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?	50
Stiffness optimization in nonlinear pantographic structures	39
A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part I – reconsideration of curvature-based flexoelectricity theory	31
Computation of brittle fracture propagation in strain gradient materials by the FEniCS library	28
A domain of influence theorem under MGT thermoelasticity theory	28
An implicit constitutive relation for describing the small strain response of porous elastic solids whose material moduli are dependent on the density	26
Analytical solutions of a spherical nanoinhomogeneity under far-field unidirectional loading based on Steigmann–Ogden surface model	25
On a new class of non-Gaussian molecular-based constitutive models with limiting chain extensibility for incompressible rubber-like materials	24
Out-of-plane deformation reduction via inelastic hinges in fibrous metamaterials and simplified damage approach	24
Second-gradient continua: From Lagrangian to Eulerian and back	24
The effect of a pre-existing nanovoid on martensite formation and interface propagation: a phase field study	23
Finite element formulations for constrained spatial nonlinear beam theories	20
The effect of pore shape on the Poisson ratio of porous materials	20
Lagrangian descriptions of dissipative systems: a review	20
Electrical analogs of curved beams and application to piezoelectric network damping	20
Bending analysis of functionally graded porous nanocomposite beams based on a non-local strain gradient theory	18
A new isogeometric Timoshenko beam model incorporating microstructures and surface energy effects	18
Variety of fiber orientation tensors	17
Peridynamics boundary condition treatments via the pseudo-layer enrichment method and variable horizon approach	16
Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders	16
Investigating infill density and pattern effects in additive manufacturing by characterizing metamaterials along the strain-gradient theory	16
Asymptotic stability for a laminated beam with structural damping and infinite memory	16

Nonlocal vibration of functionally graded nanoplates using a layerwise theory	16
Boundary and interface conditions in the relaxed micromorphic model: Exploring finite-size metastructures for elastic wave control	15
On the decay of the energy for radial solutions in Moore–Gibson–Thompson thermoelasticity	15
A numerical investigation on impulse-induced nonlinear longitudinal waves in pantographic beams	15
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
Modelling flexural wave propagation by the nonlocal strain gradient elasticity with fractional derivatives	14
A 3D extension of pantographic geometries to obtain metamaterial with semi-auxetic properties	13
In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results	12
On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization	12
Characterization of the symmetry class of an elasticity tensor using polynomial covariants	12
A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies	12
A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: Clamped rectangular incompressible elastic plates	12
Porous and cracked rocks elasticity: Macroscopic poroelasticity and effective media theory	11
On the extension of the mode-matching procedure for modeling a wave-bearing cavity	11
An updated Lagrangian Bézier finite element formulation for the analysis of slender beams	11
Commented translation of Erwin Schrödinger’s paper ‘On the dynamics of elastically coupled point systems’ (Zur Dynamik elastisch gekoppelter Punktsysteme)	11
The effect of local random defects on the response of pantographic sheets	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	10
On a consistent rod theory for a linearized anisotropic elastic material: I. Asymptotic reduction method	10
Riemannian and Euclidean material structures in anelasticity	10
Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation	10
The effect of pore sizes on the elastic behaviour of open-porous cellular materials	10
On the contact problem of a moving rigid cylindrical punch sliding over an orthotropic layer bonded to an isotropic half plane	9
Stepwise analysis of pantographic beams subjected to impulsive loads	9
A review of de Broglie particle–wave mechanical systems	9
Dynamics of pantographic sheet around the clamping region: experimental and numerical analysis	9
Axisymmetric frictionless indentation of a rigid stamp into a semi-space with a surface energetic boundary	9
On weak solutions of the boundary value problem within linear dilatational strain gradient elasticity for polyhedral Lipschitz domains	9
Influence of non-local diffusion in avascular tumour growth	9
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
A theoretical scheme for shape-programming of thin hyperelastic plates through differential growth	8
A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint	8
Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas	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
A state-based peridynamic formulation for functionally graded Kirchhoff plates	8
Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)	8
A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part II - variational formulations and applications in plates	8
Local material symmetry group for first- and second-order strain gradient fluids	8
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method	7
Surface and interfacial anti-plane waves in micropolar solids with surface energy	7
Flexoelectricity and the entropic force between fluctuating fluid membranes	7
A note on viscoelastic bodies whose material properties depend on the density	7
Four states of matter and centrally symmetric de Broglie particle–wave mechanical systems	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
Fiber orientation distributions based on planar fiber orientation tensors of fourth order	7
A phase-field model for electro-mechanical fracture with an open-source implementation of it using Gridap in Julia	7
Stress concentration due to an elliptic hole in a porous elastic plate	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
Construction of piezoelectric and flexoelectric models of composites by asymptotic homogenization and application to laminates	7
Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization	7
Theoretical solution for the axial vibration of functionally graded double-lap adhesive joints	7
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach	6
Ramberg–Osgood material behavior expression and large deflections of Euler beams	6
Model order reduction of linear peridynamic systems using static condensation	6
Polynomial stability for the equations of porous elasticity in one-dimensional bounded domains	6
On the statics and dynamics of granular-microstructured rods with higher order effects	6
A temporal averaging–based approach to toughness homogenisation in heterogeneous material	6
Two-field variational formulations for a class of nonlinear mechanical models	6
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables	6
On the receding contact between a graded and a homogeneous layer due to a flat-ended indenter	6
Dual percolations of electrical conductivity and electromagnetic interference shielding in progressively agglomerated CNT/polymer nanocomposites	6
Quadratic-stretch elasticity	6
Analysis of randomly damaged triangular beam lattice: elastic field and effective properties	6
Electromechanical fields in a hollow piezoelectric cylinder under non-uniform load: flexoelectric effect	6
Two versions of the extended Hill’s lemma for non-Cauchy continua based on the couple stress theory	6
Exact solution of a 2D problem of thermoelasticity without energy dissipation for an infinitely long cylinder	6
Interdiffusion in many dimensions: mathematical models, numerical simulations and experiment	6
Compatibility conditions of continua using Riemann–Cartan geometry	6
Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids	5
Energy distribution of bifurcated waveguide structure with planar and non-planar surfaces	5
Centenary of two pioneering theories in mechanics	5
Elastohydrodynamic lubrication line contact in couple-stress elasticity	5
Anisotropic stress softening of electromagnetic Mullins materials	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
Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching	5
A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains	5
Unusual deformation patterns in a second-gradient cylindrical lattice shell: Numerical experiments	5
Veering of Rayleigh–Lamb waves in orthorhombic materials	5
A phase-field model for thermo-mechanical fracture	5
Evolution of bone tissue based on angiogenesis as a crucial factor: New mathematical attempt	5
Investigating wave transmission and reflection phenomena in pantographic lattices using a second-gradient continuum model	5
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	5
Some comparisons between heterogeneous and homogeneous layers for nonlinear SH waves in terms of heterogeneous and nonlinear effects	5
Peridynamic modelling of higher order functionally graded plates	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
On the equilibrium of multiply-connected elastic bodies	4
Lower bound limit and shakedown analysis of orthotropic material	4
An asymptotic modeling and resolution framework for morphology evolutions of multiple-period post-buckling modes in bilayers	4
Plane waves in microstretch elastic solid with voids	4
A slender body theory for the motion of special Cosserat filaments in Stokes flow	4
Elastodynamics of a coated half-space under a sliding contact	4
On Rayleigh wave field induced by surface stresses under the effect of gravity	4
Limit analysis of masonry domes with oculus and lantern: A comparison between different approaches	4
A simplified metaelastic model for coated sphere-filled random composites	4
Asymptotically correct boundary conditions for the higher-order theory of plate bending	4
Post-buckling of an elastic half-space coated by double layers	4
Electric features of dislocations and electric force between dislocations	4
A thermodynamical model for paleomagnetism in Earth’s crust	4
A damaged non-homogeneous Timoshenko beam model for a dam subjected to aging effects	4
Seismic barriers filled with solid elastic and granular materials: Comparative analysis	4
Uniformity of the Green operator and Eshelby tensor for hyperboloidal domains in infinite media	4
Expressions of nonlocal quantities and application to Stoneley waves in weakly nonlocal orthotropic elastic half-spaces	4
Fluid–structure coupled response of dynamical surfaces tailored in a flexible shell	4
A model for a solid undergoing rate-independent dissipative mechanical processes	4
Material swelling with partial confinement in the internally balanced generalization of hyperelasticity	4
Rocking forced displacement of a rigid disc embedded in a functionally graded transversely isotropic half-space	4
Surface instabilities of soft dielectric elastomers with implementation of electrode stiffness	4
Asymptotic behavior of the solution of an axisymmetric problem of elasticity theory for a sphere with variable elasticity modules	4