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 2021-06-01 to 2025-06-01.)

Article	Citations
On the representation of fourth- and higher-order anisotropic elasticity tensors in generalized continuum models	41
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”	34
The mathematics and mechanics of tug of war	29
Basic errors in couple-stress hyperelasticity articles	29
Sliding frictional contact problem of a layer indented by a rigid punch in couple stress elasticity	28
Exponential stability for a porous thermoelastic system of type II	27
A theory of coupled strain-gradient plasticity with species transport at small deformations	26
Green’s functions of steady-state transversely isotropic hygro-thermo-magneto-piezoelectric cones	22
Damped Normal Compliance (DNC) and the restitution coefficient	22
Effects of intracorneal ring segments on the biomechanical response of the ectatic cornea to air-puff: A patient-specific numerical analysis	21
On governing equations for a nanoplate derived from the 3D gradient theory of elasticity	20
Remarks on bifurcation of an inflated and extended swellable isotropic tube	20
On the Rayleigh wave velocity in n -type piezoelectric semiconductors with enhanced flexoelectricity	18
The effect of pore shape on the Poisson ratio of porous materials	18
Retraction Notice: Thermal mechanical coupling analysis of two-dimensional decagonal quasicrystals with elastic elliptical inclusion	17
Mechanical attributes of fractal dragons	17
Buckling of a column made of the functionally graded material with high-order polynomial mode shape	16
Model anisotropic materials with ellipsoidal wave surfaces and their application to determination of elastic constants by acoustical methods	16
Nonlocal vibration of functionally graded nanoplates using a layerwise theory	16
A general theory for anisotropic Kirchhoff–Love shells with in-plane bending of embedded fibers	16
Mode-III fracture of four cracks emanating from an elliptical hole in one-dimensional orthorhombic quasicrystals with piezoelectric effect	15
Large deformation of soft dielectric cylindrical tubes under external radial electric field	15
On the role of the invariant “I₄” in conventional couple-stress hyperelasticity	15
Asymptotic theory for the inextensional flexure and twist of plastically deformed thin rods	14
Spectral formulations in nonlinear solids: A brief summary	13

Contact behaviors involving a nanobeam with surface effect by a rigid indenter	13
Elastic body with thin nonhomogeneous inclusion in non-coercive case	13
Analytical buckling load formulas for cylindrical shell structures with variable thickness under non-uniform external pressure	13
Consistent Euler–Bernoulli beam theory in statics for gradient elasticity based on Laplacians of stress and strain	12
On the theory of sandwich shells, plates, and beams with light core	12
Non-classical theory of electro-thermo-elasticity incorporating local mass displacement and nonlocal heat conduction	12
Three-dimensional analytical solutions to the half infinite thermo-elastic body pressed by a rigid cylindrical structure in thermal environment	12
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method	12
Robust topology optimization of truss-like continuum structures under uncertain loads based on cloud model	12
A problem of thermo-magnetoelasticity for a system of parallel electrical conductors by Cartesian harmonic polynomials and rational functions	11
Impact contact mechanical characteristics assessment of piezoelectric material using the semi-analytical method	11
Linear spring model to analyse the effect of interfacial imperfection on the propagation and attenuation of Love-type waves in viscoelastic-FGPM bedded structure	11
Exact solutions of the theory of elasticity for a clamped rectangle	11
Using asymptotic homogenization to determine effective thermo-viscoelastic properties of fibrous composites with interphase layer	11
Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters	11
Computational integration and experimental validation of a two-length scale model for accurate prediction of steels’ plastic behavior during phase transformation	10
On admissible external loadings within the first and second strain gradient elasticity	10
Asymptotically correct boundary conditions for the higher-order theory of plate bending	10
Examining avascular tumour growth dynamics: A variable-order non-local modelling perspective	10
Metal plasticity and nonlocal damage modeling: A thermodynamically consistent GSM approach with computational implications	10
A problem for a material surface attached to the boundary of an elastic semi-plane	10
Electrical analogs of curved beams and application to piezoelectric network damping	10
Porous and cracked rocks elasticity: Macroscopic poroelasticity and effective media theory	10
Intrinsic structure of the cotangent bundle of a locally Euclidean differential space	10
Approximate determination of shear stresses for a 2D beam made of a non-Green elastic solid	9
Evolution of bone tissue based on angiogenesis as a crucial factor: New mathematical attempt	9
Critical velocities of a three-layer composite tube incorporating the rotary inertia and material anisotropy	9
On the representation of solutions and the propagation of plane waves under strain gradient theory with dual-phase-lag thermoelasticity	9
Flexural–torsional buckling with enforced axis of twist and related problems	9
New classes of linearizable hyperelastic compressible materials	8
Quadratically nonlinear interactions of shear elastic waves in fiber-reinforced orthotropic materials	8
A phase-field model for thermo-mechanical fracture	8
A mixed trigger volumetric growth law for cylindrical deformation in stressed configurations	8
Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables	8
Coupled torsion and inflation of functionally graded and residually stressed Mooney–Rivlin hollow cylinders	8
On a consistent rod theory for a linearized anisotropic elastic material II. Verification and parametric study	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
Stress solution for an arbitrarily shaped tunnel with a neighboring circular cavity	8
Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization	7
A note on the Hill–Ogden generalised strains	7
Finite element analysis of materially uniform dielectric elastomers	7
Veering of Rayleigh–Lamb waves in orthorhombic materials	7
Modeling the degeneration of the collagen architecture in a microstructural model of the human cornea	7
Hydroelastic analysis of partially or totally immersed Mindlin plates with a hybrid isogeometric-based approach	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
A one-pass predictor-corrector algorithm for the inverse Langevin function	7
About the structure of the discrete and continuous Eringen’s nonlocal elastica	7
A holed-plate with material dislocations: Formulation and verification	7
An amended approximation of the non-Gaussian probability distribution function	7

Interaction between an edge dislocation and a circular elastic inhomogeneity with Steigmann–Ogden interface	7
Identification of an elliptic void in a piezoelectric layer by two types of loads	7
Asymptotic long-wave model for a high-contrast two-layered elastic plate	6
Intrinsic Marguerre–von Kármán equations	6
Special issue: “Integrated approaches for the mechanics of masonry structures: Novel strategies for experimental characterization, mathematical modelling and computer simulations”	6
Existence of time-dependent attractor of wave equation in locally uniform space	6
Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric bi-material strip	6
Lateral buckling of drill strings revisited: localised “snaking”	6
A general contact stiffness model for elastic bodies and its application in time-varying mesh stiffness of gear drive	6
Refined conditions for nonlocal micropolar wave propagation in layered media	6
A non-ordinary state decomposition method for three-body potential peridynamics model	6
Time discretization in visco-elastodynamics at large displacements and strains in the Eulerian frame	6
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach	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
The transient dynamic wave process in unidirectional composites	5
Seismic barriers filled with solid elastic and granular materials: Comparative analysis	5
Refined explicit solution for the stress field around an elliptical cylindrical tunnel with a moderate depth	5
New trends in couple-stress hyperelasticity	5
A Volterra edge dislocation problem in second-order elasticity theory	5
Higher order asymptotic homogenization for dynamical problems	5
In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results	5
On a dynamic frictional contact problem with normal damped response and long-term memory	5
Surface instabilities of soft dielectric elastomers with implementation of electrode stiffness	5
A compressible liquid inclusion of arbitrary shape in an isotropic elastic matrix	5
Reflection of plane waves from the free surface of a hard sphere-filled elastic metacomposite	5
Real-form solution for an anisotropic elastic elliptical inhomogeneity under uniform heat flux	5
Mesoscale analysis of fracture process in brick masonry structures	5
Analysis of randomly damaged triangular beam lattice: elastic field and effective properties	5
Analysis of a parabolic bilateral obstacle problem with non-monotone relations in the domain	5
On Rayleigh wave field induced by surface stresses under the effect of gravity	5
Connections between the morphoelastic treatment of growth-induced instabilities and earlier hyperelastic treatments of buckling under thrust	5
The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture	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
On the existence of Rayleigh waves with full impedance boundary condition	5
The effect of material anisotropy on the mechanics of a thin-film/substrate system under mechanical and thermal loads	5
Wave interaction coefficients for a cubic crystal	5
A theoretical scheme for shape-programming of thin hyperelastic plates through differential growth	5
A two-point Pade approximation for the in-plane buckling of a rotating beam	5
Couple-stress–based gradient theory of poroelasticity	5
Internal resonances of nanorods in presence of surface energy effect: Nonlinear torsional vibration	5
Reflection phenomena of thermoelastic plane waves on a rigid surface within a size-dependent elastic media	4
Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation	4
Characterization of the material behavior and identification of effective elastic moduli based on molecular dynamics simulations of coarse-grained silica	4
Higher order imperfect interface models of conductive spherical interphase	4
Notes on rate equations in nonlinear continuum mechanics	4
Couple-stress effects in a thin film bonded to a half-space	4
Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas	4
Preface to “Advances in mathematical theory of thin structures” in memory of Professor Petr E. Tovstik	4
Biomimetic torene shells	4
Contact problem for an interface crack under action of a moving punch	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
Identifying inclusions in a non-uniform thermally conductive plate under external flows and internal heat sources using topological optimization	4
Identifying composition-mechanics relations in human brain tissue based on neural-network-enhanced inverse parameter identification	4
Topology optimisation for vibration bandgaps of periodic composite plates using the modified couple stress continuum	4
Rules governing swarm robot in continuum mechanics	4
Circular inclusion with a refined linearized version of Steigmann–Ogden model	4
Nonlinear elastic general integral equations in micromechanics of random structure composites	4
Accurate linear analytical solutions for biaxial symmetry problems of rectangular thin plates using an innovative series expansion method	4
Influence of internal stresses on stability of multilayer micropolar tubes	4
Suppressing thermal stress in the vicinity of a circular nano-inhomogeneity via the mechanism of size effects	4
On tangent geometry and generalised continuum with defects	4
Local material symmetry group for first- and second-order strain gradient fluids	4
Characterization of framed curves arising from local isometric immersions	4
On Spencer’s displacement function approach for problems in second-order elasticity theory	4
Debonding of an elastic layer with a cavity from a rigid substrate caused by rotation of a bonded rigid cylinder	4
Linear elastic diatomic multilattices: Three-dimensional constitutive modeling and solutions of the shift vector equation	4