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 2021-12-01 to 2025-12-01.)

Article	Citations
Green’s functions of steady-state transversely isotropic hygro-thermo-magneto-piezoelectric cones	59
A theory of coupled strain-gradient plasticity with species transport at small deformations	34
The mathematics and mechanics of tug of war	33
Remarks on bifurcation of an inflated and extended swellable isotropic tube	29
On rigid inclusions and cavities in a layered composite containing cracks	27
Exponential stability for a porous thermoelastic system of type II	24
Mechanical attributes of fractal dragons	24
Sliding frictional contact problem of a layer indented by a rigid punch in couple stress elasticity	23
Damped Normal Compliance (DNC) and the restitution coefficient	22
On the Rayleigh wave velocity in n -type piezoelectric semiconductors with enhanced flexoelectricity	22
Basic errors in couple-stress hyperelasticity articles	22
On the representation of fourth- and higher-order anisotropic elasticity tensors in generalized continuum models	20
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	20
Asymptotic theory for the inextensional flexure and twist of plastically deformed thin rods	17
Mode-III fracture of four cracks emanating from an elliptical hole in one-dimensional orthorhombic quasicrystals with piezoelectric effect	17
A general theory for anisotropic Kirchhoff–Love shells with in-plane bending of embedded fibers	16
Buckling of a column made of the functionally graded material with high-order polynomial mode shape	15
Analytical buckling load formulas for cylindrical shell structures with variable thickness under non-uniform external pressure	14
Elastic body with thin nonhomogeneous inclusion in non-coercive case	14
Model anisotropic materials with ellipsoidal wave surfaces and their application to determination of elastic constants by acoustical methods	14
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
Contact behaviors involving a nanobeam with surface effect by a rigid indenter	13
On the theory of sandwich shells, plates, and beams with light core	13
A continuum theory of elastic semiconductors with consideration of mobile charge inertia	12

Spectral formulations in nonlinear solids: A brief summary	12
Consistent Euler–Bernoulli beam theory in statics for gradient elasticity based on Laplacians of stress and strain	12
An elastic rod perfectly bonded to a fold on a von Karman elastic surface	12
Nonlocal vibration of functionally graded nanoplates using a layerwise theory	12
Non-classical theory of electro-thermo-elasticity incorporating local mass displacement and nonlocal heat conduction	11
Exact solutions of the theory of elasticity for a clamped rectangle	11
Comparison of the effects of a graded interphase and a homogeneous interphase on the macroscopic properties of a particulate composite	11
Non-convex Gao model for nonlinear elastic beam with inclined non-penetrating crack	11
Using asymptotic homogenization to determine effective thermo-viscoelastic properties of fibrous composites with interphase layer	11
Intrinsic structure of the cotangent bundle of a locally Euclidean differential space	11
Impact contact mechanical characteristics assessment of piezoelectric material using the semi-analytical method	11
Computational integration and experimental validation of a two-length scale model for accurate prediction of steels’ plastic behavior during phase transformation	11
On admissible external loadings within the first and second strain gradient elasticity	11
Metal plasticity and nonlocal damage modeling: A thermodynamically consistent GSM approach with computational implications	10
Three-dimensional analytical solutions to the half infinite thermo-elastic body pressed by a rigid cylindrical structure in thermal environment	10
Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters	9
Approximate determination of shear stresses for a 2D beam made of a non-Green elastic solid	9
Flexural–torsional buckling with enforced axis of twist and related problems	9
Robust topology optimization of truss-like continuum structures under uncertain loads based on cloud model	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
A mixed trigger volumetric growth law for cylindrical deformation in stressed configurations	9
Examining avascular tumour growth dynamics: A variable-order non-local modelling perspective	9
An efficient stress-constrained sizing design optimization method with O ( n ) computational complexity	9
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method	9
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables	8
Quadratically nonlinear interactions of shear elastic waves in fiber-reinforced orthotropic materials	8
Stress solution for an arbitrarily shaped tunnel with a neighboring circular cavity	8
A phase-field model for thermo-mechanical fracture	8
Critical velocities of a three-layer composite tube incorporating the rotary inertia and material anisotropy	8
Intrinsic Marguerre–von Kármán equations	8
Tensor decomposition for modified quasi-linear viscoelastic models: Towards a fully non-linear theory	8
Analysis of Berger nonlinear elastic static plate bending of rectangular plates	8
Coupled torsion and inflation of functionally graded and residually stressed Mooney–Rivlin hollow cylinders	8
Asymptotically correct boundary conditions for the higher-order theory of plate bending	8
A one-pass predictor-corrector algorithm for the inverse Langevin function	8
New classes of linearizable hyperelastic compressible materials	8
On the representation of solutions and the propagation of plane waves under strain gradient theory with dual-phase-lag thermoelasticity	8
A problem for a material surface attached to the boundary of an elastic semi-plane	8
About the structure of the discrete and continuous Eringen’s nonlocal elastica	7
Lateral buckling of drill strings revisited: localised “snaking”	7
Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric bi-material strip	7
Refined conditions for nonlocal micropolar wave propagation in layered media	7
An amended approximation of the non-Gaussian probability distribution function	7
A note on the Hill–Ogden generalised strains	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
Time discretization in visco-elastodynamics at large displacements and strains in the Eulerian frame	7
Interaction between an edge dislocation and a circular elastic inhomogeneity with Steigmann–Ogden interface	7
A general contact stiffness model for elastic bodies and its application in time-varying mesh stiffness of gear drive	7
Finite deformation modeling of wrinkling in thin magnetoelastic sheets	7
Nonlocal electrostatics and boundary charges in continuum limits of two-dimensional materials	6

Veering of Rayleigh–Lamb waves in orthorhombic materials	6
Hydroelastic analysis of partially or totally immersed Mindlin plates with a hybrid isogeometric-based approach	6
A Volterra edge dislocation problem in second-order elasticity theory	6
Analysis of a parabolic bilateral obstacle problem with non-monotone relations in the domain	6
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach	6
Solid–liquid interface: Appearing induced supersonic head waves in liquid layers	6
Modeling the degeneration of the collagen architecture in a microstructural model of the human cornea	6
Existence of time-dependent attractor of wave equation in locally uniform space	6
Addendum to “fourth-order tensor calculus operations and application to continuum mechanics”	6
A PSO-based computational framework to design active noise cancelation systems for smart vehicle enclosures	6
Finite element analysis of materially uniform dielectric elastomers	6
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
Dynamic fracture of a partially permeable crack in a functionally graded one-dimensional hexagonal piezoelectric quasicrystal under a time-harmonic elastic SH-wave	6
Special issue: “Integrated approaches for the mechanics of masonry structures: Novel strategies for experimental characterization, mathematical modelling and computer simulations”	6
Wave interaction coefficients for a cubic crystal	6
Mesoscale analysis of fracture process in brick masonry structures	6
Asymptotic long-wave model for a high-contrast two-layered elastic plate	6
Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization	6
On the existence of Rayleigh waves with full impedance boundary condition	5
In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results	5
Refined explicit solution for the stress field around an elliptical cylindrical tunnel with a moderate depth	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
Topology optimisation for vibration bandgaps of periodic composite plates using the modified couple stress continuum	5
Nonlinear elastic general integral equations in micromechanics of random structure composites	5
Debonding of an elastic layer with a cavity from a rigid substrate caused by rotation of a bonded rigid cylinder	5
The transient dynamic wave process in unidirectional composites	5
Couple-stress–based gradient theory of poroelasticity	5
A non-ordinary state decomposition method for three-body potential peridynamics model	5
Concurrent topological optimization of multiple-phase materials with variable periodic patterns	5
Reflection of plane waves from the free surface of a hard sphere-filled elastic metacomposite	5
New trends in couple-stress hyperelasticity	5
Identifying composition-mechanics relations in human brain tissue based on neural-network-enhanced inverse parameter identification	5
Seismic barriers filled with solid elastic and granular materials: Comparative analysis	5
On Spencer’s displacement function approach for problems in second-order elasticity theory	5
A compressible liquid inclusion of arbitrary shape in an isotropic elastic matrix	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 theoretical scheme for shape-programming of thin hyperelastic plates through differential growth	5
Real-form solution for an anisotropic elastic elliptical inhomogeneity under uniform heat flux	5
Preface to “Advances in mathematical theory of thin structures” in memory of Professor Petr E. Tovstik	5
Internal resonances of nanorods in presence of surface energy effect: Nonlinear torsional vibration	5
On a dynamic frictional contact problem with normal damped response and long-term memory	5
Characterization of framed curves arising from local isometric immersions	5
Couple-stress effects in a thin film bonded to a half-space	5
An asymptotic modeling and resolution framework for morphology evolutions of multiple-period post-buckling modes in bilayers	4
Biomimetic torene shells	4
Influence of internal stresses on stability of multilayer micropolar tubes	4
Rules governing swarm robot in continuum mechanics	4
On Rayleigh wave field induced by surface stresses under the effect of gravity	4
Circular inclusion with a refined linearized version of Steigmann–Ogden model	4
Contact problem for an interface crack under action of a moving punch	4
Material swelling with partial confinement in the internally balanced generalization of hyperelasticity	4
On the inflation, bulging/necking bifurcation and post-bifurcation of a cylindrical membrane under limited extensibility of its constituents	4
Understanding the role of interfacial mechanics on the wrinkling behavior of compressible bilayer structures under large plane deformations	4
Representation of solutions of strain gradient dual-phase-lag thermoelasticity and effects of scale-length parameter in half-space	4
Asymptotic analysis of the dynamic response of a linearly elastic shallow shell with Norton or Tresca friction	4
Assessment of homogenization solutions for dynamic problems of periodic plate structures	4
Linear elastic diatomic multilattices: Three-dimensional constitutive modeling and solutions of the shift vector equation	4
Surface instabilities of soft dielectric elastomers with implementation of electrode stiffness	4
The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture	4
Suppressing thermal stress in the vicinity of a circular nano-inhomogeneity via the mechanism of size effects	4
Accurate linear analytical solutions for biaxial symmetry problems of rectangular thin plates using an innovative series expansion method	4
Analysis of a new kind of elastic-rigid bilateral obstacle problem	4
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	4
Higher order imperfect interface models of conductive spherical interphase	4
Screw dislocations in a holed wedge	4
Characterization of the material behavior and identification of effective elastic moduli based on molecular dynamics simulations of coarse-grained silica	4
Energy distribution of bifurcated waveguide structure with planar and non-planar surfaces	4
Notes on rate equations in nonlinear continuum mechanics	4
Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas	4
Reflection phenomena of thermoelastic plane waves on a rigid surface within a size-dependent elastic media	4
On tangent geometry and generalised continuum with defects	4
Exponential decay of the discrete energy for the wave–wave coupled system	4
Analytical solution to the form-finding problem for tensegrities using the all minors theorem in algebra	4
Mechanical in-silico modeling of orthodontic tooth movement: A review of the boundary value problem	4
Towards automated image-based cohesive zone modeling of cracking in irregular masonry	4