Continuum Mechanics and Thermodynamics

Papers
(The median citation count of Continuum Mechanics and Thermodynamics is 2. 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 2022-01-01 to 2026-01-01.)
ArticleCitations
On the $$\Lambda $$-fractional continuum mechanics fields43
Equivalence of measures and stochastic equations of hydrodynamic theory of plasma41
Equivalence group and exact solutions of the system of nonhomogeneous Boltzmann equations35
Models and auxetic characteristics of a simple cubic lattice of spherical particles35
Correction to: Second-order constitutive theory of fluids30
Exact solution of one problem of imposition of large deformations in a compound slab with pre-deformed layers of incompressible nonlinear elastic micropolar material30
Explicit analytical representation for a transmission coefficient in the normal wave propagation through a multi-layered solid-fluid structure29
Modeling and identification of residual stress fields in cylinders and plates28
Electro-induced nonlinear stability of graphene platelets reinforced functionally graded dielectric plate27
On the influence of microproperties of elastoplastic hinges on the global behavior of pantographic sheets in bias extensional test27
Parametric analysis of quadratic convection on granular material flow through an inclined heated plane with heat absorption/generation26
Thermoelastic modeling of functionally graded materials with cylindrical cavities utilizing higher-order fractional heat transfer models incorporating time delays25
Asymptotic behaviour of throughflow solutions in the class of Jeffreys fluids24
Boltzmann collision operator for polyatomic gases in agreement with experimental data and DSMC method24
An investigation on hydro-acoustic characteristics of submerged bodies with different geometric parameters23
Uniform electroelastic field within a spheroidal inhomogeneity imperfectly bonded to an infinite transversely isotropic piezoelectric matrix21
Theoretical calculation of the laminar–turbulent transition in the round tube on the basis of stochastic theory of turbulence and equivalence of measures19
Effects of electric field on vapor–liquid equilibrium of binary mixture18
Non-linear heat-transport equation beyond the Fourier law: The influence of non-linear effects in steady states17
Advanced constitutive modeling of flexoelectric materials incorporating higher-order gradient effects: Towards the design and optimization of nanoscale devices17
Continuum model of fractured media in direct and inverse seismic problems16
Environmental degradation of foamed geopolymers15
Nonlinear analysis for propellant solids15
Multiscale investigation of debonding behavior in anisotropic graphene–polyethylene metamaterial nanocomposites15
A three-dimensional, continuum mechanical model for additively manufactured polyamide 1215
Spherically symmetric deformation of solids with nonlinear stress-state-dependent properties14
Construction of exact wave solutions for coupled thermoelasticity theory with temperature dependence using improved modified extended tanh-function method14
Generalized Photoacoustic Modeling of Semiconductor Materials under Multi-Temperature Theory14
Piola’s approach to the equilibrium problem for bodies with second gradient energies. Part I: First gradient theory and differential geometry13
Geometrical investigation of cooling channels with two alternated isothermal blocks under forced convective turbulent flow13
Modeling a non-Newtonian nanofluid flow between intersecting planes with slip mechanism13
An analytical model for debonding of composite cantilever beams under point loads13
Friction welding of tungsten composite core with AA5754 ballistic cup12
A thermo-mechanically coupled constitutive model for semi-crystalline polymers at finite strains: Mechanical and thermal characterization of polyamide 6 blends12
Validity of Prigogine’ s minimum entropy production principle for a rigid heat-conducting solid beyond the Fourier heat transport regime12
A general stress solution in a plastic region near a traction-free boundary of arbitrary shape under plane-strain conditions12
Two-field mixed hp-finite elements for time-dependent problems in the refined theories of thermodynamics11
Right-hand side method for the numerical solution of nonlinear partial differential equations11
Some results on eigenvalue problems in the theory of piezoelectric porous dipolar bodies11
Theoretical and experimental validation of the variable-thickness topology optimization approach for the rib-stiffened panels11
A multi-scale analysis to predict elastic response in different weight fractions of carbon fiber powder11
Controllable flexural wave bandgap in extensible metamaterial beams with embedded multiple resonators11
Finite deformations of a nonlinearly elastic electrosensitive tube reinforced by two fiber families10
Technological support for the durability of metal-cutting tools by the formation of wear-resistant coatings using energy-efficient methods10
A continuum thermodynamic approach to the phase-field method: the order parameter as internal state variable10
Modeling of sodiation-induced deformation of Sn anode based on the stress-driven nonlocal integral elasticity10
Melting of copper nanowires: phase field simulations and comparison with existing analytical and molecular dynamics results10
A qualitative analysis on the double porous thermoelastic bodies with microtemperature9
Revisiting the Guyer-Krumhansl equation within the framework of causal linear response theory9
Variational modeling of multilayer films with coherent and incoherent interlayer interfaces9
Thermo-mechanically coupled nonlinear bending analysis of rotating bi-directional functionally graded discs under transient frictional heating: A continuum modeling approach9
Electrostatic body forces in cracked dielectrics and their implication on Maxwell stress tensors9
Analytical modeling of the mixed-mode behavior in functionally graded coating/substrate systems9
Strain-gradient finite elasticity solutions to rigid bar pull-out test8
Linear theory of 2 and 3-monoatomic multilattices: solutions of the shift vector equation8
A functionally graded Green-Naghdi (type-III) thermoelastic medium with varying properties along two directions8
Extended tolerance modelling of dynamic problems for thin uniperiodic cylindrical shells8
Prediction of laminar–turbulent transition on flat plate on the basis of stochastic theory of turbulence and equivalence of measures8
Dynamic thermal shock approach to YSZ coated materials for thermal barrier8
Weakly nonlocal Rayleigh waves with impedance boundary conditions8
A bone remodeling model involving two mechanical stimuli originated from shear and normal load conditions within the 3D continuum mechanics framework8
Analysis of stripe domains in nematic LCEs by means of a dynamic numerical framework8
Comparison of the symmetric hyperbolic thermodynamically compatible framework with Hamiltonian mechanics of binary mixtures8
Discrete spectrum of infinite and finite cylindrical shells8
Matrix formalism used to describe the inertial properties in multibody dynamics7
Investigation of interlaminar stresses surrounding circular hole in composite laminates under uniform heat flux7
Analysis of the capabilities of the spectral element method in solving physically and geometrically nonlinear problems of mechanics using the CAE Fidesys package7
Generalization of Mansfield’s alternative expression of the biharmonic operator7
Coupled Mechanical–Electrical modeling of pantographic metamaterials with simplified flexoelectric bending7
Necessity of 3D modeling for simulation of impact of skin effect of hydrogen charging on the binding energy of traps determined from the thermal desorption spectra7
Interface strength criterion for elastic bodies7
Boundary excitation of localized oscillatory waves in a metamaterial7
An accurate numerical method of solving singular boundary value problems for the stationary flow of granular materials and its application7
A model of damaged media used for describing the process of non-stationary creep and long-term strength of polycrystalline structural alloys7
On the thermal stresses in chiral porous elastic beams7
Interaction of pressure swirl spray with cross-flow7
Ozone ageing: experimental methods on pristine and protected natural rubber6
A Timoshenko-like equivalent beam model for the static analysis of a chiral metamaterial6
Advanced thermo-viscoelastic modeling of nanoscale materials under laser radiation and magnetic fields using memory-enhanced MGT theory6
Dynamic properties of the structures with three level of symmetry6
Theoretical and computational investigation of the fracturing behavior of anisotropic geomaterials6
Predictive models for bone remodeling during orthodontic tooth movement: a scoping review on the “biological metamaterial” periodontal ligament interface6
Aluminum busducts welding with micro-jet cooling-process parameters estimation by numerical simulations with MFS6
Deformation patterns in a second-gradient lattice annular plate composed of “Spira mirabilis” fibers6
The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters6
Modeling of thermal and electrical conductivities by means of a viscoelastic Cosserat continuum6
Exact hydrodynamic manifolds for the linear Boltzmann BGK equation I: spectral theory6
Peridynamic formulation of the mean stress and incubation time fracture criteria and its correspondence to the classical Griffith’s approach6
Vibration analysis of thermoelastic micro-beams on a Pasternak foundation with two parameters using the Moore–Gibson–Thompson heat conduction model6
Size-dependent analysis of thermoelastic damping in small-scaled circular plates using the Moore–Gibson–Thompson thermoelasticity theory: frequency and energy approaches6
Multi-scale constitutive model of human trabecular bone6
Non-stationary elastic wave scattering and energy transport in a one-dimensional harmonic chain with an isotopic defect6
Unsteady thermal transport in an instantly heated semi-infinite free end Hooke chain6
Investigation of thermomechanical properties of solid rocket propellant used in multi-barrel rocket systems6
A note on dependence of the inertia tensor on the strain measures5
A bone remodeling approach encoding the effect of damage and a diffusive bio-mechanical stimulus5
Mutual influence of thermal and strain waves in a metamaterial5
Bridging the gap between microscale and macroscale plasticity in hybrid laser-arc welded joints of aluminium alloy 6061: experimentation and modelling5
Thermodynamic theory of dislocation/grain boundary interaction5
On the deformation dependency of the diffusion flux in solids at large deformations5
On Schwartz–Villat’s formula for analytic functions5
A new block-based approach for the analysis of damage in masonries undergoing large deformations5
Experimental methods of living cells mechanical loading: review5
Analysis of temperature changes in living tissue using the modified fractional thermal conduction model under laser heat flux on the skin surface5
A general analytical approach to the thermoelastic analysis of asymmetric anisotropic nanoplate with polygonal holes5
A frequency-dependent model for bone remodeling using a micromorphic porous medium subjected to harmonic mechanical loading5
How regularization concepts interfere with (quasi-)brittle damage: a comparison based on a unified variational framework5
Nonlinear free and forced vibrations of a dielectric elastomer-based microcantilever for atomic force microscopy5
Dispersive propagation of localized waves in a mass-in-mass metamaterial lattice5
Positive definiteness of deformation energy as a consistency condition of discrete-to-continuum transition5
Generalized Gibbs–Appell’s equations and two-dimensional finite elements model used in flexible multibody analysis5
Microscale investigation of phase transformation and plasticity in multi-crystalline shape memory alloy using discrete dislocation–transformation method4
A model of gravitational differentiation of compressible self-gravitating planets4
A method of stress analysis for a class of piece-wise smooth yield criteria under axial symmetry4
Finite strain continuum theory for phase transformations in ferromagnetic elastic–plastic solids4
Asymptotic long-wave model for an elastic isotropic nanoplate with surface effects derived from the 3D theory of elasticity and its comparison with hypotheses-based models4
A numerical investigation and process optimization of magnetic pulse welding for similar and dissimilar materials4
Extended hydrodynamical models for plasmas4
Analysis of an initially stressed functionally graded thermoelastic medium (type III) without energy dissipation4
Thermodynamic theory of the most energy-efficient natural repose angle4
Preface4
On the nonlinear dynamics of in-contact rigid bodies experiencing stick–slip and wear phenomena4
Homogenised governing equations for pre-stressed poroelastic composites4
Thermal pulse propagation beyond the Maxwell–Cattaneo theory: Application to one-dimensional nanosystems4
Dynamic behavior of anisotropic polystyrene foams4
Generalized continua with applications4
On the occasion of the anniversary of Professor Vladimir An. Levin4
Thermomagnetic behavior of a semiconductor material heated by pulsed excitation based on the fourth-order MGT photothermal model4
Influence of dislocations on equilibrium stability of nonlinearly elastic cylindrical tube with hydrostatic pressure4
Development and experimental verification of the new WHA sinters intended for kinetic energy projectiles4
Generalized Reissner-type variational principles in the micropolar theories of multilayer thin bodies with one small size4
Comparison of extended irreversible thermodynamics and nonequilibrium statistical operator method with thermodynamics based on a distribution containing the first-passage time4
Finite element evaluation of fracture toughness and crack propagation in LB-PBF AlSi10Mg4
Compatibility equations, generalized Cesaro’s equations and expansion effects of spacetime4
Extremal inclusions in nonlinear conductivity4
Comment on the paper “An exact analytical solution of the unsteady magnetohydrodynamics nonlinear dynamics of laminar boundary layer due to an impulsively linear stretching sheet, U. S. Mahabaleshwar,4
Second-grade elasticity of three-dimensional pantographic lattices: theory and numerical experiments4
Multiscale elasticplasto-hydrodynamic lubrication in line contacts involving thermal deformation and adsorbed layer4
Full factorial design analysis of thermodynamic and kinetic parameters in simulated thermite reaction propagation4
Impact of microscopic interactions and non-Local dynamics on rotating nanobeam structures under external moving loads3
Mathematical model of osteophyte development with the first attempt to identify a biomechanical parameter3
Thermo-mechanical progressive analysis on multiple delaminations in composite laminates3
Complex mechanical properties of 3D micro-metric pantographic metamaterials fabricated by two-photon polymerization3
Thermodynamically extended symplectic numerical simulation of viscoelastic, thermal expansion and heat conduction phenomena in solids3
Damping behavior of a particulate composite with interface slip and diffusion under a deviatoric far-field load3
Second-order homogenization of 3-D lattice materials towards strain gradient media: numerical modelling and experimental verification3
Stress relaxation behavior of isotropic and anisotropic magnetorheological elastomers3
Oxidative ageing of elastomers: experiment and modelling3
Analysis of the influence of thermal contact conduction on the intensity of heat flow in a bundle of round steel bars3
Mathematical modelling of stability problems for thin transversally graded cylindrical shells3
Visual tracking of plate compactor trajectories and soil compaction through metamaterial-inspired approach3
Correction to: A lipid membrane morphology subjected to intra-membrane viscosity and membrane thickness dilation3
Elasto-plasticity theory for large plastic deformation and its use for the material stiffness determination3
From approximation of dissipative systems to representative space-time volume elements for metamaterials3
Investigating nonlinear buckling and post-buckling characteristics of functionally graded porous cylindrical shells under external pressure and thermal conditions3
New approach to $${\upalpha }$$-titanium mechanical properties enhancement by means of thermoplastic deformation in mid-temperature range3
Correction to: Thermodynamic theory of the most energy-efficient natural repose angle3
Thermomechanical loading of an elastoviscoplastic heavy layer held by an inclined plane3
Spacetime evolutive equilibrium in Nonlinear Continuum Mechanics3
Aerosol deposition on resonances at nonlinear oscillations in a closed cross-section jump tube3
Wave propagation with two delay times in an isotropic porous micropolar thermoelastic material3
A new combined asymptotic-tolerance model of thermoelasticity problems for thin uniperiodic cylindrical shells3
Modeling a modified thermoelastic phase-delay model incorporating spatiotemporal nonlocality for an excited micropolar half-space3
Spectral stability of subsonic solitary waves in an elastic electrically conductive micropolar medium3
On a BIE for a 2D flow of viscous fluid around a round cylinder, with specific Green’s function3
Equivalent analytical formulation-based multibody elastic system analysis using one-dimensional finite elements3
A three-dimensional continuum model for the mechanics of an elastic medium reinforced with fibrous materials in finite elastostatics3
A modified spatiotemporal nonlocal thermoelasticity theory with higher-order phase delays for a viscoelastic micropolar medium exposed to short-pulse laser excitation3
Accurately and automatically simulating hysteresis loops of shape memory alloys3
Linearization and localization of nonconvex functionals motivated by nonlinear peridynamic models3
Viscoelastic behavior of filled silicone elastomers and influence of aging in inert and hermetic environment3
Elastic properties of polycrystalline silicon: experimental findings, effective estimates, and their relations3
On some variational principles in micropolar theories of single-layer thin bodies3
How material and geometrical nonlinearity influences diastolic function of an idealized aortic valve3
Internal resonance and bending analysis of thick visco-hyper-elastic arches3
Hierarchy of generalized continua issued from micromorphic medium constructed by homogenization2
Surface layer effect on high pressure phase growth in a bicrystal: phase field model and simulations2
Fluid–solid interaction on a thin platelet with high-velocity flow: vibration modelling and experiment2
Quasi-gas-dynamic modeling of complex supersonic flows2
Determining material parameters by ball indentation of a circular perforated hyperelastic membrane2
The influence of a non-local Moore–Gibson–Thompson heat transfer model on an underlying thermoelastic material under the model of memory-dependent derivatives2
Analytical investigation of the finite viscoelastic model proposed by Simo: critical review and a suggested modification2
Viscoelastic bidispersive convection with a Kelvin–Voigt fluid2
Open system peridynamics2
A Chebyshev shear deformation theory for mechanical analysis of axially loaded functionally graded curved beams2
Finite strain expansion/contraction of a hollow sphere made of strain- and rate- hardening material2
A third gradient-based continuum model for the mechanics of continua reinforced with extensible bidirectional fibers resistant to flexure2
Stability of rectangular bar with distributed dislocations2
Correction to: Nonlinear free and forced vibrations of a dielectric elastomer-based microcantilever for atomic force microscopy2
Correction to: Rarefied relativistic polyatomic gases in a gravitational field2
Approach à la Piola for the equilibrium problem of bodies with second gradient energies. Part II: Variational derivation of second gradient equations and their transport2
Multiscale modeling of the mechanical behavior of brazed Ni-based superalloy sheet metals2
Unified and accurate simulation for large elastic strain responses of rubberlike soft materials under multiple modes of loading2
The discrete contact problem for a two-level system of indenters2
Experimental investigations and numerical modelling: a fruitful interaction for the nonlinear dynamical analysis of masonry structures2
Experimental and numerical study on failure mechanisms of the 7.62$$\times $$ 25 mm FMJ projectile and hyperelastic target material during ballistic impact2
A model of dual-phase-lag thermoelasticity for a Cosserat body2
Study of plane boundary value problems in the asymmetric elasticity theory2
Unsteady ballistic heat transport in a 1D harmonic crystal due to a source on an isotopic defect2
Finite element modeling and analysis of flexoelectric plates using gradient electromechanical theory2
Hybrid discrete-to-continuum viscoelastic viscoplasticity by volume constraint2
Noether’s theorem applied to GENERIC2
BGK source terms for out-of-equilibrium two-phase flow models2
Lagging heat models in thermodynamics and bioheat transfer: a critical review2
Micromorphic theory as a model for blood in the microcirculation: correction and analysis2
On the exact equilibrium conditions of irregular shells reinforced by beams along the junctions2
Analysis of hydrogen diffusion in the three stage electro-permeation test2
Particle-based approach to the Eulerian distortion field and its dynamics2
Evaluating corneal biomechanics using shear wave elastography and finite element modeling: sensitivity analysis and parametric optimization2
Mechanical behavior analysis of FG-CNT-reinforced polymer composite beams via a hyperbolic shear deformation theory2
A semi-analytical approach for thermoelastic wave propagation in infinite solids subject to linear heat supply using two-phase lag theory2
Energy-based stability estimates for incompressible media with tensor-nonlinear constitutive relations2
Dynamics and control of band gaps in a mass-in mass metamaterial model with an extra attached mass2
Seismic capacity of purely compressed shells based on Airy stress function2
The evolution of Hooke’s law under finite plastic deformations for fiber-reinforced materials2
Modeling and ballistic tests of selected soft point projectiles in a water medium2
Analytical and numerical relaxation results for models in soil mechanics2
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