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 2022-08-01 to 2026-08-01.)
ArticleCitations
On the $$\Lambda $$-fractional continuum mechanics fields113
Models and auxetic characteristics of a simple cubic lattice of spherical particles72
Equivalence group and exact solutions of the system of nonhomogeneous Boltzmann equations64
Exact solution of one problem of imposition of large deformations in a compound slab with pre-deformed layers of incompressible nonlinear elastic micropolar material59
Explicit analytical representation for a transmission coefficient in the normal wave propagation through a multi-layered solid-fluid structure40
On the influence of microproperties of elastoplastic hinges on the global behavior of pantographic sheets in bias extensional test39
Correction to: Second-order constitutive theory of fluids36
Equivalence of measures and stochastic equations of hydrodynamic theory of plasma33
Electro-induced nonlinear stability of graphene platelets reinforced functionally graded dielectric plate31
Boltzmann collision operator for polyatomic gases in agreement with experimental data and DSMC method31
Modeling and identification of residual stress fields in cylinders and plates28
Thermoelastic modeling of functionally graded materials with cylindrical cavities utilizing higher-order fractional heat transfer models incorporating time delays27
When the earth and sky dance: seismic shakes meet weather patterns25
Parametric analysis of quadratic convection on granular material flow through an inclined heated plane with heat absorption/generation24
Theoretical calculation of the laminar–turbulent transition in the round tube on the basis of stochastic theory of turbulence and equivalence of measures23
Effects of electric field on vapor–liquid equilibrium of binary mixture23
Non-linear heat-transport equation beyond the Fourier law: The influence of non-linear effects in steady states21
Asymptotic behaviour of throughflow solutions in the class of Jeffreys fluids20
Uniform electroelastic field within a spheroidal inhomogeneity imperfectly bonded to an infinite transversely isotropic piezoelectric matrix20
Advanced constitutive modeling of flexoelectric materials incorporating higher-order gradient effects: Towards the design and optimization of nanoscale devices20
Continuum model of fractured media in direct and inverse seismic problems20
Effect of bidirectional fiber incorporation in an unbounded anisotropic fiber-reinforced medium with spherical cavity using the finite element method19
Multiscale investigation of debonding behavior in anisotropic graphene–polyethylene metamaterial nanocomposites18
A generalized coupled biothermoelastic model for human skin based on the Guyer–Krumhansl framework with nonlocal and thermal relaxation effects17
A thermoelastic microelongated plate in the context of the dual phase lag model loaded with viscous fluid layers16
A three-dimensional, continuum mechanical model for additively manufactured polyamide 1216
Spherically symmetric deformation of solids with nonlinear stress-state-dependent properties16
Geometrical investigation of cooling channels with two alternated isothermal blocks under forced convective turbulent flow16
An analytical model for debonding of composite cantilever beams under point loads16
Construction of exact wave solutions for coupled thermoelasticity theory with temperature dependence using improved modified extended tanh-function method16
Modeling a non-Newtonian nanofluid flow between intersecting planes with slip mechanism15
Experimental and numerical study on the effects of temperature variations on sound transmission through cylindrical shells15
Generalized Photoacoustic Modeling of Semiconductor Materials under Multi-Temperature Theory15
A general stress solution in a plastic region near a traction-free boundary of arbitrary shape under plane-strain conditions15
A thermo-mechanically coupled constitutive model for semi-crystalline polymers at finite strains: Mechanical and thermal characterization of polyamide 6 blends15
Validity of Prigogine’ s minimum entropy production principle for a rigid heat-conducting solid beyond the Fourier heat transport regime14
Friction welding of tungsten composite core with AA5754 ballistic cup13
Melting of copper nanowires: phase field simulations and comparison with existing analytical and molecular dynamics results12
Right-hand side method for the numerical solution of nonlinear partial differential equations12
Statistical aspects of estimating density of penny-shaped inhomogeneities from their intersections with plane sections and lines12
A multi-scale analysis to predict elastic response in different weight fractions of carbon fiber powder12
Two-field mixed hp-finite elements for time-dependent problems in the refined theories of thermodynamics12
Electrostatic body forces in cracked dielectrics and their implication on Maxwell stress tensors11
A continuum thermodynamic approach to the phase-field method: the order parameter as internal state variable11
Some results on eigenvalue problems in the theory of piezoelectric porous dipolar bodies11
A bone remodeling model involving two mechanical stimuli originated from shear and normal load conditions within the 3D continuum mechanics framework11
Theoretical and experimental validation of the variable-thickness topology optimization approach for the rib-stiffened panels11
A qualitative analysis on the double porous thermoelastic bodies with microtemperature11
Technological support for the durability of metal-cutting tools by the formation of wear-resistant coatings using energy-efficient methods11
Controllable flexural wave bandgap in extensible metamaterial beams with embedded multiple resonators11
Thermo-mechanically coupled nonlinear bending analysis of rotating bi-directional functionally graded discs under transient frictional heating: A continuum modeling approach10
Ramp-thermal-shock response of a rigidly constrained porous cylinder under nonlocal Klein–Gordon thermoelasticity with higher-order time derivatives10
Strain-gradient finite elasticity solutions to rigid bar pull-out test10
Analytical modeling of the mixed-mode behavior in functionally graded coating/substrate systems10
Linear theory of 2 and 3-monoatomic multilattices: solutions of the shift vector equation10
Dynamic thermal shock approach to YSZ coated materials for thermal barrier10
Variational modeling of multilayer films with coherent and incoherent interlayer interfaces10
Modeling of sodiation-induced deformation of Sn anode based on the stress-driven nonlocal integral elasticity10
An accurate numerical method of solving singular boundary value problems for the stationary flow of granular materials and its application10
Revisiting the Guyer-Krumhansl equation within the framework of causal linear response theory10
Coupled Mechanical–Electrical modeling of pantographic metamaterials with simplified flexoelectric bending9
A functionally graded Green-Naghdi (type-III) thermoelastic medium with varying properties along two directions9
Weakly nonlocal Rayleigh waves with impedance boundary conditions9
Extended tolerance modelling of dynamic problems for thin uniperiodic cylindrical shells9
Interface strength criterion for elastic bodies9
Comparison of the symmetric hyperbolic thermodynamically compatible framework with Hamiltonian mechanics of binary mixtures9
Discrete spectrum of infinite and finite cylindrical shells9
Analysis of stripe domains in nematic LCEs by means of a dynamic numerical framework9
On the thermal stresses in chiral porous elastic beams8
The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters8
Boundary excitation of localized oscillatory waves in a metamaterial8
Size-dependent analysis of thermoelastic damping in small-scaled circular plates using the Moore–Gibson–Thompson thermoelasticity theory: frequency and energy approaches8
Aluminum busducts welding with micro-jet cooling-process parameters estimation by numerical simulations with MFS8
Transmission conditions for a poroelastic interface in a rectangular domain8
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 spectra8
Generalization of Mansfield’s alternative expression of the biharmonic operator8
Vibration analysis of thermoelastic micro-beams on a Pasternak foundation with two parameters using the Moore–Gibson–Thompson heat conduction model8
Investigation of thermomechanical properties of solid rocket propellant used in multi-barrel rocket systems8
Study of climate change dynamics in vicinity of hemisphere: an analysis of velocity and thermal slip effects8
Interaction of pressure swirl spray with cross-flow8
Ozone ageing: experimental methods on pristine and protected natural rubber8
Predictive models for bone remodeling during orthodontic tooth movement: a scoping review on the “biological metamaterial” periodontal ligament interface8
Peridynamic formulation of the mean stress and incubation time fracture criteria and its correspondence to the classical Griffith’s approach8
Deformation patterns in a second-gradient lattice annular plate composed of “Spira mirabilis” fibers8
A frequency-dependent model for bone remodeling using a micromorphic porous medium subjected to harmonic mechanical loading7
Theoretical and computational investigation of the fracturing behavior of anisotropic geomaterials7
Exact hydrodynamic manifolds for the linear Boltzmann BGK equation I: spectral theory7
Advanced thermo-viscoelastic modeling of nanoscale materials under laser radiation and magnetic fields using memory-enhanced MGT theory7
Analysis of thermoelastic wave behavior in double porous structures induced by laser pulse heating7
A note on dependence of the inertia tensor on the strain measures7
Bending analysis of rectangular sandwich plates with arbitrary internal elastic and boundary supports7
Dynamic properties of the structures with three level of symmetry7
The multiphase-field method based on internal state variables7
On Schwartz–Villat’s formula for analytic functions7
An edge dislocation interacting with two circular compressible liquid inclusions7
Non-stationary elastic wave scattering and energy transport in a one-dimensional harmonic chain with an isotopic defect7
A Timoshenko-like equivalent beam model for the static analysis of a chiral metamaterial7
Multi-scale constitutive model of human trabecular bone7
How regularization concepts interfere with (quasi-)brittle damage: a comparison based on a unified variational framework6
Influence of axial inertia on the behavior of electrically actuated beam on elastic foundation6
Dispersive propagation of localized waves in a mass-in-mass metamaterial lattice6
Thermomagnetic behavior of a semiconductor material heated by pulsed excitation based on the fourth-order MGT photothermal model6
A study of energy in thermoelastic diffusion theory for Cosserat media6
Unsteady thermal transport in an instantly heated semi-infinite free end Hooke chain6
A thermodynamically consistent phase-field framework for crack-induced self-heating in linear thermoviscoelastic solids6
A general analytical approach to the thermoelastic analysis of asymmetric anisotropic nanoplate with polygonal holes6
Positive definiteness of deformation energy as a consistency condition of discrete-to-continuum transition6
Mutual influence of thermal and strain waves in a metamaterial6
A bone remodeling approach encoding the effect of damage and a diffusive bio-mechanical stimulus6
A new block-based approach for the analysis of damage in masonries undergoing large deformations6
Heat map analysis of wave dynamics in nonlocal Kelvin–Voigt piezo-semiconductors under memory-dependent heat flux6
Bridging the gap between microscale and macroscale plasticity in hybrid laser-arc welded joints of aluminium alloy 6061: experimentation and modelling6
Comparison of extended irreversible thermodynamics and nonequilibrium statistical operator method with thermodynamics based on a distribution containing the first-passage time5
Thermal pulse propagation beyond the Maxwell–Cattaneo theory: Application to one-dimensional nanosystems5
Influence of dislocations on equilibrium stability of nonlinearly elastic cylindrical tube with hydrostatic pressure5
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 models5
On the occasion of the anniversary of Professor Vladimir An. Levin5
Extended hydrodynamical models for plasmas5
Multiscale elasticplasto-hydrodynamic lubrication in line contacts involving thermal deformation and adsorbed layer5
Full factorial design analysis of thermodynamic and kinetic parameters in simulated thermite reaction propagation5
A method of stress analysis for a class of piece-wise smooth yield criteria under axial symmetry5
Surface damage due to multiple edge cracks and its dependence on material anisotropy5
FEM analysis of time-dependent nanolayer Boger fluid flow in a semi-circular cavity with centrally heated step-shaped obstacle under Dufour effects5
Development and experimental verification of the new WHA sinters intended for kinetic energy projectiles5
Dynamic behavior of anisotropic polystyrene foams5
A numerical investigation and process optimization of magnetic pulse welding for similar and dissimilar materials5
A model of gravitational differentiation of compressible self-gravitating planets5
Homogenised governing equations for pre-stressed poroelastic composites5
Analysis of an initially stressed functionally graded thermoelastic medium (type III) without energy dissipation5
Second-grade elasticity of three-dimensional pantographic lattices: theory and numerical experiments5
Analysis of temperature changes in living tissue using the modified fractional thermal conduction model under laser heat flux on the skin surface5
Finite element evaluation of fracture toughness and crack propagation in LB-PBF AlSi10Mg5
Thermodynamic theory of the most energy-efficient natural repose angle5
Compatibility equations, generalized Cesaro’s equations and expansion effects of spacetime5
Preface4
Wave propagation with two delay times in an isotropic porous micropolar thermoelastic material4
Internal resonance and bending analysis of thick visco-hyper-elastic arches4
New approach to $${\upalpha }$$-titanium mechanical properties enhancement by means of thermoplastic deformation in mid-temperature range4
Complex mechanical properties of 3D micro-metric pantographic metamaterials fabricated by two-photon polymerization4
A three-dimensional continuum model for the mechanics of an elastic medium reinforced with fibrous materials in finite elastostatics4
Spacetime evolutive equilibrium in Nonlinear Continuum Mechanics4
How material and geometrical nonlinearity influences diastolic function of an idealized aortic valve4
Microscale investigation of phase transformation and plasticity in multi-crystalline shape memory alloy using discrete dislocation–transformation method4
Finite strain continuum theory for phase transformations in ferromagnetic elastic–plastic solids4
Modeling a modified thermoelastic phase-delay model incorporating spatiotemporal nonlocality for an excited micropolar half-space4
Least squares method used to approximate the damping matrix in the analysis of vibrational systems4
Thermodynamically extended symplectic numerical simulation of viscoelastic, thermal expansion and heat conduction phenomena in solids4
From approximation of dissipative systems to representative space-time volume elements for metamaterials4
Investigating nonlinear buckling and post-buckling characteristics of functionally graded porous cylindrical shells under external pressure and thermal conditions4
Second-order homogenization of 3-D lattice materials towards strain gradient media: numerical modelling and experimental verification4
Linearization and localization of nonconvex functionals motivated by nonlinear peridynamic models4
Analysis of the influence of thermal contact conduction on the intensity of heat flow in a bundle of round steel bars4
On the nonlinear dynamics of in-contact rigid bodies experiencing stick–slip and wear phenomena4
Generalization of R. Hill’s Solution of the Lame Problem for a Hollow Sphere to the Case of Large Elastic and Plastic Deformations4
Visual tracking of plate compactor trajectories and soil compaction through metamaterial-inspired approach4
A modified spatiotemporal nonlocal thermoelasticity theory with higher-order phase delays for a viscoelastic micropolar medium exposed to short-pulse laser excitation4
Damping behavior of a particulate composite with interface slip and diffusion under a deviatoric far-field load4
Aerosol deposition on resonances at nonlinear oscillations in a closed cross-section jump tube4
Elastic properties of polycrystalline silicon: experimental findings, effective estimates, and their relations4
A third gradient-based continuum model for the mechanics of continua reinforced with extensible bidirectional fibers resistant to flexure3
Correction to: Thermodynamic theory of the most energy-efficient natural repose angle3
Elasto-plasticity theory for large plastic deformation and its use for the material stiffness determination3
The evolution of Hooke’s law under finite plastic deformations for fiber-reinforced materials3
Impact of microscopic interactions and non-Local dynamics on rotating nanobeam structures under external moving loads3
Thermomechanical loading of an elastoviscoplastic heavy layer held by an inclined plane3
Noether’s theorem applied to GENERIC3
Anti-plane surface waves localized in multi-layered interfaces in square-lattice structures3
Equivalent analytical formulation-based multibody elastic system analysis using one-dimensional finite elements3
Experimental investigations and numerical modelling: a fruitful interaction for the nonlinear dynamical analysis of masonry structures3
Spectral stability of subsonic solitary waves in an elastic electrically conductive micropolar medium3
The modified Kachanov method. Evaporation of multiple droplets3
On a BIE for a 2D flow of viscous fluid around a round cylinder, with specific Green’s function3
Seismic capacity of purely compressed shells based on Airy stress function3
A new combined asymptotic-tolerance model of thermoelasticity problems for thin uniperiodic cylindrical shells3
Analysis of hydrogen diffusion in the three stage electro-permeation test3
Mathematical modelling of stability problems for thin transversally graded cylindrical shells3
Multiscale lubrication in rolling and sliding thermo-elastoplastic line contact involving the sandwich and physically adsorbed molecule films3
Correction to: A lipid membrane morphology subjected to intra-membrane viscosity and membrane thickness dilation3
Hybrid discrete-to-continuum viscoelastic viscoplasticity by volume constraint3
Finite element modeling and analysis of flexoelectric plates using gradient electromechanical theory3
Mathematical model of osteophyte development with the first attempt to identify a biomechanical parameter3
Physics-informed neural network and data-driven modeling of non-Fourier heat transfer in laser-irradiated semiconductor media using bi-Helmhotz nonlocal theory3
Unsteady ballistic heat transport in a 1D harmonic crystal due to a source on an isotopic defect3
Surface layer effect on high pressure phase growth in a bicrystal: phase field model and simulations2
Instability of supersonic solitary waves in a generalized elastic electrically conductive medium2
Quasi-gas-dynamic modeling of complex supersonic flows2
On the exact equilibrium conditions of irregular shells reinforced by beams along the junctions2
The discrete contact problem for a two-level system of indenters2
The influence of a non-local Moore–Gibson–Thompson heat transfer model on an underlying thermoelastic material under the model of memory-dependent derivatives2
Heat conduction analysis of multi-directional FGMs with complex heat sources and boundary conductions using a Chebyshev spectral method2
Multiscale modeling of the mechanical behavior of brazed Ni-based superalloy sheet metals2
Viscoelastic bidispersive convection with a Kelvin–Voigt fluid2
Fluid–solid interaction on a thin platelet with high-velocity flow: vibration modelling and experiment2
Unified and accurate simulation for large elastic strain responses of rubberlike soft materials under multiple modes of loading2
Hierarchy of generalized continua issued from micromorphic medium constructed by homogenization2
Stress field around cylindrical nanopore by various models of surface elasticity2
Analysis of nonlocal thermoviscoelastic diffusion coupling in fractal media for non-integer dimensional spaces2
Energy-based stability estimates for incompressible media with tensor-nonlinear constitutive relations2
On thermodynamic consistency of strain gradient elasticity2
Micromorphic theory as a model for blood in the microcirculation: correction and analysis2
Mechanical behavior analysis of FG-CNT-reinforced polymer composite beams via a hyperbolic shear deformation theory2
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
Dynamics and control of band gaps in a mass-in mass metamaterial model with an extra attached mass2
Particle-based approach to the Eulerian distortion field and its dynamics2
A semi-analytical approach for thermoelastic wave propagation in infinite solids subject to linear heat supply using two-phase lag theory2
Modeling and numerical investigation of damage behavior in pantographic layers using a hemivariational formulation adapted for a Hencky-type discrete model2
Exact hydrodynamic manifolds for the linear Boltzmann BGK equation II: spectral closure2
Analytical and numerical relaxation results for models in soil mechanics2
A homogenization method for thermo-mechanical stress analysis in printed circuit heat exchangers2
Stability of rectangular bar with distributed dislocations2
Study of plane boundary value problems in the asymmetric elasticity theory2
Analytical investigation of the finite viscoelastic model proposed by Simo: critical review and a suggested modification2
Modeling and ballistic tests of selected soft point projectiles in a water medium2
Evaluating corneal biomechanics using shear wave elastography and finite element modeling: sensitivity analysis and parametric optimization2
A Chebyshev shear deformation theory for mechanical analysis of axially loaded functionally graded curved beams2
Determining material parameters by ball indentation of a circular perforated hyperelastic membrane2
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