Continuum Mechanics and Thermodynamics

Article	Citations
Lattice shells composed of two families of curved Kirchhoff rods: an archetypal example, topology optimization of a cycloidal metamaterial	59
Computational analysis of an infinite magneto-thermoelastic solid periodically dispersed with varying heat flow based on non-local Moore–Gibson–Thompson approach	55
Micromechanics-based elasto-plastic–damage energy formulation for strain gradient solids with granular microstructure	39
Thermal buckling of functionally graded piezomagnetic micro- and nanobeams presenting the flexomagnetic effect	36
Antiplane shear of an asymmetric sandwich plate	30
On thermal stability of piezo-flexomagnetic microbeams considering different temperature distributions	26
A unified phase-field model of fracture in viscoelastic materials	25
On nonlinear dilatational strain gradient elasticity	25
Mathematical modeling of the elastic properties of cubic crystals at small scales based on the Toupin–Mindlin anisotropic first strain gradient elasticity	24
Positive definiteness in coupled strain gradient elasticity	23
Lagging heat models in thermodynamics and bioheat transfer: a critical review	23
Modeling of combustion and turbulent jet diffusion flames in fractal dimensions	21
A Markovian random walk model of epidemic spreading	21
Thermodynamics of thermite reactions for a new thermal plug and abandonment process	20
Analytical solutions of the cylindrical bending problem for the relaxed micromorphic continuum and other generalized continua	19
Contact interactions in complex fibrous metamaterials	18
Mechanical behavior analysis of FG-CNT-reinforced polymer composite beams via a hyperbolic shear deformation theory	17
Nonlinear continuum mechanics of thick hyperelastic sandwich beams using various shear deformable beam theories	16
Scalar-based strain gradient plasticity theory to model size-dependent kinematic hardening effects	15
Modeling and numerical investigation of damage behavior in pantographic layers using a hemivariational formulation adapted for a Hencky-type discrete model	15
Uniqueness theorem in coupled strain gradient elasticity with mixed boundary conditions	14
Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence	14
A new deformation measure for micropolar plates subjected to in-plane loads	14
Thermomagnetic behavior of a semiconductor material heated by pulsed excitation based on the fourth-order MGT photothermal model	14
The influence of a non-local Moore–Gibson–Thompson heat transfer model on an underlying thermoelastic material under the model of memory-dependent derivatives	14

Piola’s approach to the equilibrium problem for bodies with second gradient energies. Part I: First gradient theory and differential geometry	13
An extended Hamilton principle as unifying theory for coupled problems and dissipative microstructure evolution	13
Friction coefficient of solid lubricating coating as a function of contact pressure: experimental results and microscale modeling	13
How regularization concepts interfere with (quasi-)brittle damage: a comparison based on a unified variational framework	12
Deformation patterns in a second-gradient lattice annular plate composed of “Spira mirabilis” fibers	12
Some results on eigenvalue problems in the theory of piezoelectric porous dipolar bodies	12
Bending analysis of functionally graded nanoplates based on a higher-order shear deformation theory using dynamic relaxation method	12
Free high-frequency vibrations of nonlocally elastic beam with varying cross-section area	11
On the role of interfacial elasticity in morphological instability of a heteroepitaxial interface	11
A continuum shell element in layerwise models for free vibration analysis of FGM sandwich panels	11
General approach to the modified Kirsch problem incorporating surface energy effects	10
Extended micropolar approach within the framework of 3M theories and variations thereof	10
A thermodynamic approach to rate-type models in deformable ferroelectrics	10
Time-dependent modeling and experimental characterization of foamed EPDM rubber	10
Approach à la Piola for the equilibrium problem of bodies with second gradient energies. Part II: Variational derivation of second gradient equations and their transport	10
Continuum-kinematics-inspired peridynamics: Thermo-mechanical problems	10
A comparative study of 1D nonlocal integral Timoshenko beam and 2D nonlocal integral elasticity theories for bending of nanoscale beams	10
On some variational principles in micropolar theories of single-layer thin bodies	10
Multiple cracking model in a 3D GraFEA framework	9
Thermal fracture of functionally graded thermal barrier coatings with pre-existing edge cracks and multiple internal cracks imitating a curved interface	9
Flexomagneticity in buckled shear deformable hard-magnetic soft structures	9
A numerical survey of nonlinear dynamical responses of discrete pantographic beams	9
Theoretical and computational investigation of the fracturing behavior of anisotropic geomaterials	9
The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters	9
A semigroup of contractions in elasticity of porous bodies	9
On a class of interval-valued optimization problems	9
Water in polyurethane networks: physical and chemical ageing effects and mechanical parameters	9
Discrete systems in thermal physics and engineering: a glance from non-equilibrium thermodynamics	9
Determination of effective stiffness properties of multilayered composite beams	8
Unsteady ballistic heat transport in a 1D harmonic crystal due to a source on an isotopic defect	8
Internal resonance and bending analysis of thick visco-hyper-elastic arches	8
Generalized thermo-mechanical framework for heterogeneous materials through asymptotic homogenization	8
Modeling of orientational polarization within the framework of extended micropolar theory	8
Thermodynamic theory of dislocation/grain boundary interaction	8
News on Baer–Nunziato-type model at pressure equilibrium	8
Second-grade elasticity of three-dimensional pantographic lattices: theory and numerical experiments	8
A multi-field model for charging and discharging of lithium-ion battery electrodes	8
Full factorial design analysis of thermodynamic and kinetic parameters in simulated thermite reaction propagation	7
Discrete and continuous models of linear elasticity: history and connections	7
Strain-hardening properties of the high-entropy alloy MoNbTaTiVZr processed by high-pressure torsion	7
Surface tension and reaction stresses of a linear incompressible second gradient fluid	7
Elasticity solutions for nano-plane structures under body forces using lattice elasticity, continualised nonlocal model and Eringen nonlocal model	7
Microstructure, microhardness and work function of in-situ Al-Cu composite processed by mechanical alloying by means of high-pressure torsion	7
A new approach to solving the solid mechanics problems with matter supply	7
Second-order homogenization of 3-D lattice materials towards strain gradient media: numerical modelling and experimental verification	7
On the evolution of solutions of mixed problems in thermoelasticity of porous bodies with dipolar structure	7
Stability of circular micropolar rod with prestressed two-layer coating	7
Dispersive propagation of localized waves in a mass-in-mass metamaterial lattice	7
Modeling chemical reactions in porous media: a review	7
Theoretical calculation of the laminar–turbulent transition in the round tube on the basis of stochastic theory of turbulence and equivalence of measures	7

Boltzmann collision operator for polyatomic gases in agreement with experimental data and DSMC method	7
Weakly nonlocal Rayleigh waves with impedance boundary conditions	6
Modeling the skin effect associated with hydrogen accumulation by means of the micropolar continuum	6
Continuum model of fractured media in direct and inverse seismic problems	6
Steady-state ballistic thermal transport associated with transversal motions in a damped graphene lattice subjected to a point heat source	6
Thermodynamic compatibility conditions of a new class of hysteretic materials	6
Evaluation of stress intensity factors under thermal effect employing domain integral method and ordinary state based peridynamic theory	6
The theory of scaling	6
Thermo-mechano-chemical modeling and computation of thermosetting polymers used in post-installed fastening systems in concrete structures	6
Statistical mechanics of rate-independent stick-slip on a corrugated surface composed of parabolic wells	6
Torsion of a multilayer elastic cylinder with sequential attachment of layers with multiple superposition of large deformations	6
Generalized Reissner-type variational principles in the micropolar theories of multilayer thin bodies with one small size	6
A model for the second strain gradient continua reinforced with extensible fibers in plane elastostatics	5
Micropolar medium in a funnel-shaped crusher	5
Reduced strain gradient elasticity model with two characteristic lengths: fundamentals and application to straight dislocations	5
Surface phenomena of gradient materials	5
Size effect and geometrically nonlinear effect on thermal post-buckling of micro-beams: a new theoretical analysis	5
Nonlinear free and forced vibrations of a dielectric elastomer-based microcantilever for atomic force microscopy	5
A continuum theory for mineral solid solutions undergoing chemo-mechanical processes	5
Modeling a non-Newtonian nanofluid flow between intersecting planes with slip mechanism	5
Dynamic thermomechanical analysis on composite sandwich plates with damage	5
Multiscale modeling of the mechanical behavior of brazed Ni-based superalloy sheet metals	5
A mixture theory for the moisture transport in polyamide	5
Semi-analytic finite element method applied to short-fiber-reinforced piezoelectric composites	5
Sensitivity analysis of temperature in heated soft tissues with respect to time delays	5
A holistic continuum model-based approach to drug release	5
Stress relaxation behavior of isotropic and anisotropic magnetorheological elastomers	5
Strain-induced crystallisation in natural rubber: a thermodynamically consistent model of the material behaviour using a serial connection of phases	5
Multiscale mixed hydrodynamics in line contacts	5
Determination of the anisotropic elasticity tensor by mechanical spectroscopy	4
Negative-stiffness composite systems and their coupled-field properties	4
New perspectives for modelling ballistic-diffusive heat conduction	4
Modeling of hyperelasticity in polyamide 12 produced by selective laser sintering	4
Modeling of thermal and electrical conductivities by means of a viscoelastic Cosserat continuum	4
Environmental degradation of foamed geopolymers	4
Explicit solutions of quasi-static problems in the coupled theory of poroelasticity	4
Open system peridynamics	4
Finite strain continuum theory for phase transformations in ferromagnetic elastic–plastic solids	4
Thermo-mechanical progressive analysis on multiple delaminations in composite laminates	4
Moore–Gibson–Thompson thermoelasticity in the context of double porous materials	4
Finite deformations of a nonlinearly elastic electrosensitive tube reinforced by two fiber families	4
Elastic properties of polycrystalline silicon: experimental findings, effective estimates, and their relations	4
Towards real-time prediction of residual stresses induced by peripheral milling of Ti–6Al–4V	4
High and low cycle fatigue failure effects of metals predicted automatically from innovative elastoplastic equations with high-efficiency algorithms	4
Oxidative ageing of elastomers: experiment and modelling	4
Ozone ageing: experimental methods on pristine and protected natural rubber	4
Thermal pulse propagation beyond the Maxwell–Cattaneo theory: Application to one-dimensional nanosystems	4
Cylindrical membrane partially dressed on a rigid body of revolution	4
A third gradient-based continuum model for the mechanics of continua reinforced with extensible bidirectional fibers resistant to flexure	4
A multiphase phase-field study of three-dimensional martensitic twinned microstructures at large strains	4
A new approach to modeling of thermal and electrical conductivities by means of the Cosserat continuum	4
Stress field around cylindrical nanopore by various models of surface elasticity	4
Lattice strain during compressive loading of AlCrFeNiTi multi-principal element alloys	4
The discrete contact problem for a two-level system of indenters	4
Density–orientation coupling for a microcontinuum approach to nematic liquid crystals subject to electric field	4
Weak solution of longitudinal waves in carbon nanotubes	4
Coupled phase field and nonlocal integral elasticity analysis of stress-induced martensitic transformations at the nanoscale: boundary effects, limitations and contradictions	3
Interaction of pressure swirl spray with cross-flow	3
Experimental methods of living cells mechanical loading: review	3
An efficient numerical method to solve the problems of 2D incompressible nonlinear elasticity	3
Theoretical and experimental validation of the variable-thickness topology optimization approach for the rib-stiffened panels	3
A new block-based approach for the analysis of damage in masonries undergoing large deformations	3
A review of inverse problems for generalized elastic media: formulations, experiments, synthesis	3
An investigation on hydro-acoustic characteristics of submerged bodies with different geometric parameters	3
Closed-form quaternion representations for rigid body rotation: application to error assessment in orientation algorithms of strapdown inertial navigation systems	3
Multiscale geomechanical modeling under finite strains using finite element method	3
Mathematical modelling of thermoelasticity problems for thin biperiodic cylindrical shells	3
A model of dual-phase-lag thermoelasticity for a Cosserat body	3
Extended Larché–Cahn framework for reactive Cahn–Hilliard multicomponent systems	3
Prediction of laminar–turbulent transition on flat plate on the basis of stochastic theory of turbulence and equivalence of measures	3
Cyclic elastoplastic behaviour of 2198-T8 aluminium alloy welded panels	3
Reduced linear viscoelastic isotropic Cosserat medium with rotational viscosity: an acoustic metamaterial	3
Electroelastic field for a blunt crack in an anisotropic piezoelectric material	3
Thermal analysis and shrinkage characterization of the photopolymers for DLP additive manufacturing processes	3
A note on dependence of the inertia tensor on the strain measures	3
Analytical expressions for the displacements of a surface of piezoelectric FGM-coated half-plane with a strip electrode	3
Poroelastoplastic modeling of a borehole stability under small and finite strains using isoparametric spectral element method	3
Investigating the effect of nanovoid inelastic surface stress and the austenite–martensite interface inelastic stress on the martensitic growth at the nanovoid surface	3
A constitutive model for linear hyperelastic materials with orthotropic inclusions by use of quaternions	3
Finite memory model of bone healing in analysis of moving interface between mandible tissue and bone substitute material after tooth implant application	3

Finite strain expansion/contraction of a hollow sphere made of strain- and rate- hardening material	3
Analytical investigation of the finite viscoelastic model proposed by Simo: critical review and a suggested modification	3
Applicability ranges for four approaches to determination of bending stiffness of multilayer plates	3
A fracture criterion for ductile metals based on critical damage parameters	3
Cavity-expansion approximation for projectile impact and penetration into sand	3
Numerical simulation of dual-phase steel based on real and virtual three-dimensional microstructures	3
A thermo-mechanically coupled constitutive model for semi-crystalline polymers at finite strains: Mechanical and thermal characterization of polyamide 6 blends	3
Spherically symmetric deformation of solids with nonlinear stress-state-dependent properties	3
Peridynamic formulation of the mean stress and incubation time fracture criteria and its correspondence to the classical Griffith’s approach	3
On the thermal stresses in chiral porous elastic beams	3
Variational principle and continuous dependence results on the generalized poro-thermoelasticity theory with one relaxation parameter	3
Experimental and numerical study on failure mechanisms of the 7.62$$\times $$ 25 mm FMJ projectile and hyperelastic target material during ballistic impact	3
A general stress solution in a plastic region near a traction-free boundary of arbitrary shape under plane-strain conditions	2
A regularized phase field model for solid–fluid dynamics description	2
Modeling deformation of materials and structures of nuclear power engineering subjected to thermal-radiation effects	2
Elastic fields due to a suddenly expanding spherical inclusion within Mindlin’s first strain-gradient theory	2
Numerical simulation of equilibrium air plasma flow in the induction chamber of a high-power plasmatron	2
Asymptotics and numerical analysis for enzymatic auxiliary reactions	2
Thermodynamic framework for variance-based non-local constitutive models	2
Extended tolerance modelling of dynamic problems for thin uniperiodic cylindrical shells	2
Modularity of the displacement coefficients and complete plate theories in the framework of the consistent-approximation approach	2
New approach in constitutive modelling of commercially pure titanium thermo-mechanical processing	2
Second-order constitutive theory of fluids	2
A multiphase irreversible-compaction model for granular-porous materials	2
Some uniqueness results for thermoelastic materials with double porosity structure	2
A systematic approach to reduce the independent tensor components by symmetry transformations: a commented translation of “Tensors and Crystal Symmetry” by Carl Hermann	2
The potentials of the acceleration field and pressure field in rotating relativistic uniform system	2
Viscoelastic behavior of filled silicone elastomers and influence of aging in inert and hermetic environment	2
Analysis of the contact critical pressure of collapsible tubes for biomedical applications	2
Accurately and automatically simulating hysteresis loops of shape memory alloys	2
Coulomb force on a line charge in an anisotropic piezoelectric bimaterial	2
A convective model for poro-elastodynamics with damage and fluid flow towards Earth lithosphere modelling	2
Linear theory of 2 and 3-monoatomic multilattices: solutions of the shift vector equation	2
Continua with partially constrained microstructure	2
A multiscale approach to modeling the frictional behavior of the materials produced by additive manufacturing technologies	2
Interface strength criterion for elastic bodies	2
Some results on the electroacoustic energy flux for micropolar bodies	2
Generalized Gibbs–Appell’s equations and two-dimensional finite elements model used in flexible multibody analysis	2
The meso-scale behavior of anisotropic particle-reinforced thermo-elastic composites	2
Unsteady thermal transport in an instantly heated semi-infinite free end Hooke chain	2
On chemical reaction planar fronts in an elastic–viscoelastic mechanical framework	2
Aerosol deposition on resonances at nonlinear oscillations in a closed cross-section jump tube	2
Extension of Boley’s continuum mechanics-based successive approximation method to two-layer rectangular beams	2
Thermodynamic formulations of the growth of solid bodies subjected to electromechanical interactions and application to bone external and internal remodeling	2
Predicting anisotropic behavior of textured PBF-LB materials via microstructural modeling	2
Effects of random laminate misalignment on macroscopic and microscopic elastic/viscoplastic behaviors of ultrafine plate–fin structures	2
Micromorphic theory as a model for blood in the microcirculation: correction and analysis	2
Heat conduction in microstructured solids under localised pulse loading	2
Finite element analysis of the panel flutter of stiffened shallow shells	2
BGK source terms for out-of-equilibrium two-phase flow models	2
The evolution of Hooke’s law under finite plastic deformations for fiber-reinforced materials	2