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 2021-09-01 to 2025-09-01.)

Article	Citations
Basic errors in couple-stress hyperelasticity articles	48
The mathematics and mechanics of tug of war	33
Exponential stability for a porous thermoelastic system of type II	30
A theory of coupled strain-gradient plasticity with species transport at small deformations	28
Green’s functions of steady-state transversely isotropic hygro-thermo-magneto-piezoelectric cones	27
Damped Normal Compliance (DNC) and the restitution coefficient	25
On governing equations for a nanoplate derived from the 3D gradient theory of elasticity	23
On the Rayleigh wave velocity in n -type piezoelectric semiconductors with enhanced flexoelectricity	20
Sliding frictional contact problem of a layer indented by a rigid punch in couple stress elasticity	20
Mechanical attributes of fractal dragons	20
On the representation of fourth- and higher-order anisotropic elasticity tensors in generalized continuum models	20
Remarks on bifurcation of an inflated and extended swellable isotropic tube	20
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	19
Retraction Notice: Thermal mechanical coupling analysis of two-dimensional decagonal quasicrystals with elastic elliptical inclusion	17
Model anisotropic materials with ellipsoidal wave surfaces and their application to determination of elastic constants by acoustical methods	17
Analytical buckling load formulas for cylindrical shell structures with variable thickness under non-uniform external pressure	16
Mode-III fracture of four cracks emanating from an elliptical hole in one-dimensional orthorhombic quasicrystals with piezoelectric effect	14
Spectral formulations in nonlinear solids: A brief summary	14
Elastic body with thin nonhomogeneous inclusion in non-coercive case	13
On the role of the invariant “I₄” in conventional couple-stress hyperelasticity	13
Large deformation of soft dielectric cylindrical tubes under external radial electric field	13
Buckling of a column made of the functionally graded material with high-order polynomial mode shape	12
Nonlocal vibration of functionally graded nanoplates using a layerwise theory	12
Three-dimensional analytical solutions to the half infinite thermo-elastic body pressed by a rigid cylindrical structure in thermal environment	11
Asymptotic theory for the inextensional flexure and twist of plastically deformed thin rods	11

Consistent Euler–Bernoulli beam theory in statics for gradient elasticity based on Laplacians of stress and strain	11
Contact behaviors involving a nanobeam with surface effect by a rigid indenter	11
An elastic rod perfectly bonded to a fold on a von Karman elastic surface	11
Robust topology optimization of truss-like continuum structures under uncertain loads based on cloud model	11
A general theory for anisotropic Kirchhoff–Love shells with in-plane bending of embedded fibers	11
On the theory of sandwich shells, plates, and beams with light core	11
Using asymptotic homogenization to determine effective thermo-viscoelastic properties of fibrous composites with interphase layer	10
Impact contact mechanical characteristics assessment of piezoelectric material using the semi-analytical method	10
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method	10
Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters	10
Examining avascular tumour growth dynamics: A variable-order non-local modelling perspective	10
Non-convex Gao model for nonlinear elastic beam with inclined non-penetrating crack	10
A continuum theory of elastic semiconductors with consideration of mobile charge inertia	10
Exact solutions of the theory of elasticity for a clamped rectangle	10
Computational integration and experimental validation of a two-length scale model for accurate prediction of steels’ plastic behavior during phase transformation	10
Intrinsic structure of the cotangent bundle of a locally Euclidean differential space	10
Metal plasticity and nonlocal damage modeling: A thermodynamically consistent GSM approach with computational implications	10
Asymptotically correct boundary conditions for the higher-order theory of plate bending	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
Non-classical theory of electro-thermo-elasticity incorporating local mass displacement and nonlocal heat conduction	9
Flexural–torsional buckling with enforced axis of twist and related problems	9
On admissible external loadings within the first and second strain gradient elasticity	9
Approximate determination of shear stresses for a 2D beam made of a non-Green elastic solid	8
Tensor decomposition for modified quasi-linear viscoelastic models: Towards a fully non-linear theory	8
On the representation of solutions and the propagation of plane waves under strain gradient theory with dual-phase-lag thermoelasticity	8
Critical velocities of a three-layer composite tube incorporating the rotary inertia and material anisotropy	8
Stress solution for an arbitrarily shaped tunnel with a neighboring circular cavity	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
Quadratically nonlinear interactions of shear elastic waves in fiber-reinforced orthotropic materials	8
A mixed trigger volumetric growth law for cylindrical deformation in stressed configurations	8
New classes of linearizable hyperelastic compressible materials	8
Evolution of bone tissue based on angiogenesis as a crucial factor: New mathematical attempt	8
Veering of Rayleigh–Lamb waves in orthorhombic materials	7
Coupled torsion and inflation of functionally graded and residually stressed Mooney–Rivlin hollow cylinders	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
Time discretization in visco-elastodynamics at large displacements and strains in the Eulerian frame	7
A note on the Hill–Ogden generalised strains	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”	7
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables	7
Finite element analysis of materially uniform dielectric elastomers	7
Hydroelastic analysis of partially or totally immersed Mindlin plates with a hybrid isogeometric-based approach	7
About the structure of the discrete and continuous Eringen’s nonlocal elastica	7
Intrinsic Marguerre–von Kármán equations	7
An amended approximation of the non-Gaussian probability distribution function	7
Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization	7
Refined conditions for nonlocal micropolar wave propagation in layered media	7
A phase-field model for thermo-mechanical fracture	7
A one-pass predictor-corrector algorithm for the inverse Langevin function	7

A general contact stiffness model for elastic bodies and its application in time-varying mesh stiffness of gear drive	6
Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric bi-material strip	6
A holed-plate with material dislocations: Formulation and verification	6
A non-ordinary state decomposition method for three-body potential peridynamics model	6
Asymptotic long-wave model for a high-contrast two-layered elastic plate	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
Finite deformation modeling of wrinkling in thin magnetoelastic sheets	6
A PSO-based computational framework to design active noise cancelation systems for smart vehicle enclosures	6
Addendum to “fourth-order tensor calculus operations and application to continuum mechanics”	6
Modeling the degeneration of the collagen architecture in a microstructural model of the human cornea	6
Lateral buckling of drill strings revisited: localised “snaking”	6
Solid–liquid interface: Appearing induced supersonic head waves in liquid layers	6
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach	6
Existence of time-dependent attractor of wave equation in locally uniform space	6
Interaction between an edge dislocation and a circular elastic inhomogeneity with Steigmann–Ogden interface	6
Surface instabilities of soft dielectric elastomers with implementation of electrode stiffness	5
On a dynamic frictional contact problem with normal damped response and long-term memory	5
Internal resonances of nanorods in presence of surface energy effect: Nonlinear torsional vibration	5
Reflection of plane waves from the free surface of a hard sphere-filled elastic metacomposite	5
Higher order asymptotic homogenization for dynamical problems	5
A theoretical scheme for shape-programming of thin hyperelastic plates through differential growth	5
A compressible liquid inclusion of arbitrary shape in an isotropic elastic matrix	5
The transient dynamic wave process in unidirectional composites	5
A two-point Pade approximation for the in-plane buckling of a rotating beam	5
Connections between the morphoelastic treatment of growth-induced instabilities and earlier hyperelastic treatments of buckling under thrust	5
Identifying composition-mechanics relations in human brain tissue based on neural-network-enhanced inverse parameter identification	5
Mesoscale analysis of fracture process in brick masonry structures	5
A Volterra edge dislocation problem in second-order elasticity theory	5
New trends in couple-stress hyperelasticity	5
Analysis of a parabolic bilateral obstacle problem with non-monotone relations in the domain	5
In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results	5
Preface to “Advances in mathematical theory of thin structures” in memory of Professor Petr E. Tovstik	5
On Spencer’s displacement function approach for problems in second-order elasticity theory	5
Couple-stress–based gradient theory of poroelasticity	5
Real-form solution for an anisotropic elastic elliptical inhomogeneity under uniform heat flux	5
Refined explicit solution for the stress field around an elliptical cylindrical tunnel with a moderate depth	5
On the existence of Rayleigh waves with full impedance boundary condition	5
Wave interaction coefficients for a cubic crystal	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
Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas	5
Rules governing swarm robot in continuum mechanics	4
Material swelling with partial confinement in the internally balanced generalization of hyperelasticity	4
Energy distribution of bifurcated waveguide structure with planar and non-planar surfaces	4
Assessment of homogenization solutions for dynamic problems of periodic plate structures	4
Characterization of the material behavior and identification of effective elastic moduli based on molecular dynamics simulations of coarse-grained silica	4
Contact problem for an interface crack under action of a moving punch	4
On Rayleigh wave field induced by surface stresses under the effect of gravity	4
The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture	4
Characterization of framed curves arising from local isometric immersions	4
Topology optimisation for vibration bandgaps of periodic composite plates using the modified couple stress continuum	4
Identifying inclusions in a non-uniform thermally conductive plate under external flows and internal heat sources using topological optimization	4
An asymptotic modeling and resolution framework for morphology evolutions of multiple-period post-buckling modes in bilayers	4
Reflection phenomena of thermoelastic plane waves on a rigid surface within a size-dependent elastic media	4
Accurate linear analytical solutions for biaxial symmetry problems of rectangular thin plates using an innovative series expansion method	4
Suppressing thermal stress in the vicinity of a circular nano-inhomogeneity via the mechanism of size effects	4
Biomimetic torene shells	4
Seismic barriers filled with solid elastic and granular materials: Comparative analysis	4
Notes on rate equations in nonlinear continuum mechanics	4
Debonding of an elastic layer with a cavity from a rigid substrate caused by rotation of a bonded rigid cylinder	4
Higher order imperfect interface models of conductive spherical interphase	4
On tangent geometry and generalised continuum with defects	4
Screw dislocations in a holed wedge	4
Analysis of a new kind of elastic-rigid bilateral obstacle problem	4
Influence of internal stresses on stability of multilayer micropolar tubes	4
Circular inclusion with a refined linearized version of Steigmann–Ogden model	4
Couple-stress effects in a thin film bonded to a half-space	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