Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
A continuum theory for granular materials - MaRDI portal

A continuum theory for granular materials

From MaRDI portal
Publication:2554630

DOI10.1007/BF00284326zbMath0243.76005MaRDI QIDQ2554630

Yanyan Li

Publication date: 1972

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)




Related Items

On the numerical integration of the stress equilibrium equations governing the ideal plastic plane deformation of a granular materialComputational aspects of the mechanics of complex materialsPlane steady shear flow of a cohesionless granular material down an inclined plane: A model for flow avalanches. I. TheoryBlow-up of weak solutions for a porous elastic system with nonlinear damping and source termsPlane waves and vibrations in the theory of micropolar thermoelasticity for materials with voidsA proposal for a continuum theory of defective crystalsVolume-weighted mixture theory for granular materialsThermodynamic and rate variational formulation of models for inhomogeneous gradient materials with microstructure and application to phase field modelingOn porous-elastic system with localized dampingOn the porous-elastic system with Kelvin-Voigt dampingAcceleration waves in a fluid mixture with compressible constituentsOn high-order hypoplastic models for granular materialsAnalytical and numerical studies on penalized micro-dilatation (PMD) theory: macro-micro link conceptMacroscopic theory of multicomponent flows: irreversibility and well-posed equationsOn volume fraction theories for discretized materialsNavier's slip problem for motion of inhomogeneous incompressible fluid-like bodiesA constitutive equation for the porosity fieldTheory of thin thermoelastic rods made of porous materialsEulerian kinematics of flow through spatially periodic models of porous mediaFinite amplitude one-dimensional pulses in an inhomogeneous granular materialOn the spatial behaviour in the bending theory of porous thermoelastic platesTransverse wave at a plane interface in thermo-elastic materials with voidsWave propagation at the boundary surface of elastic and initially stressed viscothermoelastic diffusion with voids mediaPropagation of wave at the boundary surface of transversely isotropic thermoelastic material with voids and isotropic elastic half-spaceOn the equilibrium response of different modeling approaches for the porosity variation in dry granular matterA continuum model of micro-cracks in concreteAn entropy model for shear deformation of granular materialsA nonlinear multi-field coupled model for soilsA nonlinear theory of elastic materials with voidsA thermomechanical theory for reacting immiscible mixturesOn the equations of fully fluidized granular materialsOn ideal multiphase mixtures with chemical reactions and diffusionOn kinetic energy and momenta in Cosserat continuaDynamic wave propagation in infinite saturated porous media half spacesMathematical modelling and analysis of bulk waves in rotating generalized thermoelastic media with voidsWave propagation in periodically layered elastic media based on an internal variable modelGeneral decay for a porous thermoelastic system with memory: the case of equal speedsWaves of dilatancy in a granular material with incompressible granulesMaterials with spherical structureExtended finite element modeling of deformable porous media with arbitrary interfacesGeneral stability result in a memory-type porous thermoelasticity system of type IIIA continuum theory for two phase mediaOn compressible Korteweg fluid-like materialsInhomogeneous plane waves in elastic materials with voidsOn the development and generalizations of Cahn-Hilliard equations within a thermodynamic frameworkModeling dry granular mass flows as elasto-visco-hypoplastic continua with microstructural effects. I: thermodynamically consistent constitutive modelModeling dry granular mass flows as elasto-visco-hypoplastic continua with microstructural effects. II: numerical simulations of benchmark flow problemsFractional order thermoelastic interactions in an infinite porous material due to distributed time-dependent heat sourcesFlow of a fluid infused with solid particles through a pipeOn the solution of a lubrication problem with particulate solidsWeak solutions in elasticity of dipolar porous materialsOn the decay rates of porous elastic systemsA mixture theory for evaluating heat and mass transport processes in nonhomogeneous snowOn the decay of solutions for porous-elastic systems with historyOn mixtures of nonsimple elastic solidsA continuum theory of porous media saturated by multiple immiscible fluids. I: Linear poroelasticityMinimum principles for the bending problem of elastic plates with voidsOn stress analysis for cracks in elastic materials with voidsSome results in the dynamics of porous elastic mixturesTwo-fluid porous flow in a single temperature approximationContinuous dependence in a nonlinear theory of viscoelastic porous mixturesEffect of rigid boundary on propagation of torsional surface waves in porous elastic layerStatic deformations of a linear elastic porous body filled with an inviscid fluidThe equilibrium limit of a constitutive model for two-phase granular mixtures and its numerical approximationConstitutive relations that imply a generalized Mohr-Coulomb criterionAcceleration waves and mild discontinuities in a non-simple mixture of chemically reacting elastic materialsA theory of thermoelastic diffusion materials with voidsBone remodelling. I: Theory of adaptive elasticityMixtures of granular materialsThe theory of an incompressible solid-fluid mixtureThermostatics of solid-fluid mixturesOn the influence of void compaction and material non-uniformity on the propagation of one-dimensional acceleration waves in granular materialsRapid dry granular flows down an incline: a constitutive theory with an independent kinematic internal lengthUniqueness and stability in the continuum theory of granular materialsThe behavior of one-dimensional acceleration waves in an inhomogeneous granular solidA variational theory of immiscible mixturesA micropolar continuum theory for the flow of granular materialsA mesoscopic continuum description of dry granular materialsSteady in-plane deformation of noncoaxial plastic soilA thermodynamic theory for the effects of localized heating in granular materialsSome results on the nonlinear theory of dipolar porous elastic solidsReflection and transmission of plane dilatational wave at a plane interface between an elastic solid half-space and a thermo-viscoelastic solid half-space with voidsMicrocontinuum derivation of Goodman-Cowin theory for granular materialsA variational principle for the revised Goodman-Cowin theory with internal lengthReexamining some basic definitions of modern mixture theoryStructured continua from a Lagrangian point of viewA generalized continuum theory for multiphase suspension flowsDescription of local dilatancy and local rotation of granular assemblies by microstretch modelingStabilized mixed formulation for phase-field computation of deviatoric fracture in elastic and poroelastic materialsElasticity of initially stressed bodies with voids. Weak solutionsTheories of immiscible and structured mixturesStress relaxation, creep, failure and hysteresis in a linear elastic material with voidsLinear elastic materials with voidsA thermomechanical theory for a porous anisotropic elastic solid with inclusionsOn work and constraints in mixturesThe classical pressure vessel problems for linear elastic materials with voidsGrowth and decay of one-dimensional shock waves in multiphase mixturesMechanics of porous elastic materials containing multiphase fluidElastic coefficients for liquid- and gas-saturated porous mediaA finite element formulation for composite structures based on a volume fraction mixture theoryOn the stability of linear porous elastic materials with microtemperatures effects and frictional dampingInfluence of doubly loaded elastic void pores and distinct inhomogeneity in the sandwiched layered composite structureOn deformation of porous platesA semigroup of contractions in elasticity of porous bodiesAsymptotic behavior of the porous elastic system with dual phase lag model: Classical versus second spectrum perspectivesContinua with partially constrained microstructureOn the evolution of solutions of mixed problems in thermoelasticity of porous bodies with dipolar structureStability analysis of type II thermo-porous-elastic system with local or global dampingOn weak solutions of boundary values problem in the theory of Cosserat porous bodiesWell-posedness and general decay of a nonlinear damping porous-elastic system with infinite memorySome Results on Thermoelasticity for Dielectric Materials with VoidsTwo singular problems of dual-phase-lag thermo-porous-elasticity with microtemperaturesA two-phase thermomechanical theory for granular suspensionsBoundary-layer flow in a porous domain above a flat plateA generalization of the classical Euler and Korteweg fluids.General stability result for a porous thermoelastic system with infinite history and microtemperatures effectsPorosity and phase lags response of thick circular plate in modified couple stress thermoelastic mediumAn approximate secular equation of Rayleigh-like waves in coated elastic half-space containing voidsEnergy decay analysis for porous elastic system with thermoelasticity of type III: a second spectrum approachUnnamed ItemHarmonic vibrations in thermoelastic dynamics with double porosity structureAdhesion Failures in Granular MixturesA plane strain problem in the theory of elastic materials with voidsBEM and FEM results of displacements in a poroelastic columnDecay property of regularity-loss type of solutions in elastic solids with voidsExponential decay and well-posedness for a one-dimensional porous-elastic system with distributed delayInteraction due to Mechanical and Thermal Sources in Thermoelastic Half-Space with VoidsA thermodynamic theory of thermoelastic and viscoanelastic solids with non-Euclidean structureSpatial and temporal behavior in elastic materials with voidsOn the continuum modeling of materials with kinematic structureA continuum model for granular materials: Considering dilatancy and the Mohr-Coulomb criterionNonlinear Plane Strain of Elastic Materials with VoidsA New Continuum Theory for Incompressible Swelling MaterialsExploitation of the entropy principle: Proof of Liu theorem if the gradients of the governing equations are considered as constraintsPolynomial stability for the equations of porous elasticity in one-dimensional bounded domainsOn global attractors for a nonlinear porous elastic system with fractional damping and memory termA diameter bound for compact surfaces and the Plateau-Douglas problemA type III porous-thermo-elastic problem with quasi-static microvoidsThermodynamically consistent modeling of granular-fluid mixtures incorporating pore pressure evolution and hypoplastic behaviorThermodynamic theory for porous piezoelectric materialsEnergy decay for a weakly nonlinear damped porous system with a nonlinear delayOn a generalized relaxed Saint-Venant principleOn flows of granular materialsExistence and uniqueness of a finite energy solution for the mixed value problem of porous thermoelastic bodiesA dual-phase-lag porous-thermoelastic problem with microtemperaturesReflection of plane waves in elastic half space with void pores under the action of uniform magnetic fieldExtended kinetic theory for granular flow in a vertical chuteWell-posedness, theoretical and numerical stability results of a memory-type porous thermoelastic systemOptimal decay for a porous elasticity system with memoryFully developed flow of granular materials down a heated inclined planeGibbs free energy and integrability of continuum models for granular media at equilibriumUnnamed ItemDecay estimates and energy bounds for porous elastic cylindersTheoretical and numerical stability results for a viscoelastic swelling porous-elastic system with past historyA theory for granular materials exhibiting normal stress effects based on Enskog's dense gas theoryWell-posedness and general decay for nonlinear damped porous thermoelastic system with second sound and distributed delay termsAlternative Spatial Growth and Decay Estimates for Constrained Motion in an Elastic Cylinder with VoidsDynamics and wave propagation in dilatant granular materialsA mixture model of poroelastic materialsUnnamed ItemDebris flow modeling: A reviewOn weak solutions in elasticity of dipolar bodies with voidsGeneralization of the Bedford-Drumheller model for a fluid-saturated porous mediumUnnamed ItemNew general decay of solutions in a porous-thermoelastic system with infinite memoryPorous elastic system with Kelvin–Voigt: analyticity and optimal decay rateSome basic theorems in elastostatics of micropolar materials with voidsOn the stabilization of linear porous elastic materials by microtemperature effect and porous dampingExponential stabilization for porous elastic system with one boundary dissipationInternal variable modelling of wave propagation in laminates with nonlinearly elastic constituentsOn a microstructural model of damage in solidsWell posedness theorems for linear elastic materials with voidsThe kinematics and general field equations for continuum mixturesRates of decay for porous elastic system weakly dissipativeOn the nonlinear theory of thermoviscoelastic materials with voidsSome Results on Thermoelasticity for Dielectric Materials with VoidsUnnamed ItemStabilization of a microtemperature porous-elastic system with distributed delay-timePorous elastic system with nonlinear damping and sources termsWell-posedness and a general decay for a nonlinear damped porous thermoelastic system with second soundStructural stability in porous elasticityOn a theory of thermoviscoelastic materials with voidsOn uniqueness and continuous dependence of solutions in viscoelastic mixturesRayleigh waves on an exponentially graded poroelastic half spaceA symbolic computation framework for constitutive modelling based on entropy principlesCoupled dilatational waves at a plane interface between two dissimilar magneto-elastic half-spaces containing voidsA general decay for a weakly nonlinearly damped porous systemMicromorphic modeling of granular dynamicsOn the theory of porous elastic rodsA solution set-based entropy principle for constitutive modeling in mechanicsOn the long-time behavior of a nonlinear damped porous thermoelastic system with second soundPorous-micro-dilatation theory for random crystallization: Monte Carlo simulation for delayed ettringite formationHyper-reduction of generalized continuaA porous thermoelastic diffusion theory of types II and IIILove-type waves in multilayered elastic media containing voids: Haskell matrix methodLack of exponential decay in viscoelastic materials with voidsTwo-phase modeling of deflagration-to-detonation transition in granular materials: A critical examination of modeling issuesOn porous-elastic systems with Fourier lawEmergence of Solitonic Structures in Hierarchical Korteweg–de Vries SystemsElastic wave propagation through a material with voidsUnnamed ItemA porous thermoelastic problem: an a priori error analysis and computational experimentsExponential stability for a thermoelastic porous system with microtemperatures effectsBoundary conditions in mixture theory and in CFD applications of higher-order modelsPropagating waves in elastic material with voids subjected to electro-magnetic interactionsOn the nonlinear theory of micropolar bodies with voidsDual-phase-lag one-dimensional thermo-porous-elasticity with microtemperaturesTime-accurate calculation of two-phase granular flows exhibiting compaction, dilatancy and nonlinear rheologyDecay property of regularity-loss type for solutions in elastic solids with voidsOn structural stability for an elastic body with voids having dipolar structureCovariant balance laws in continua with microstructureAsymptotic stability of porous-elastic system with thermoelasticity of type IIIA thermo-mechanical continuum theory with internal length for cohesionless granular materials. I: A class of constitutive models.General decay of a nonlinear damping porous-elastic system with past historyDecay of quasi-static porous-thermo-elastic wavesKinetic theoretical study of a simply sheared two-dimensional granular gas to Burnett orderGeneral decay of solutions in one-dimensional porous-elastic system with memorySemi-inverse solution for Saint-Venant's problem in the theory of porous elastic materialsOn the theory of mixtures of elastic solidsGravity flow of cohesionless granular materials in chutes and channelsOn the Material Setting of Gradient HyperelasticitySome Results in the Dynamics of Viscoelastic MixturesStability of wall bounded, shear flows of dense granular materials: the role of the Couette gap, the wall velocity and the initial concentrationOn the stabilization of a memory-type porous thermoelastic systemLow-Mach-number asymptotics for two-phase flows of granular materialsA coupled mass transport and deformation theory of multi-constituent tumor growthTime harmonic waves in a thermo-viscoelastic material with voidsFinite energy solutions in thermoelasticity of porous materialsReflection of Longitudinal Wave in the Micropolar Elasticity with VoidsA non-simple heat-conducting fluidRapid Couette flow of cohesionless granular materialThermoelasticity of initially stressed bodies with voids: a domain of influenceModeling of the interaction between bone tissue and resorbable biomaterial as linear elastic materials with voidsOn the temporal behaviour in the bending theory of porous thermoelastic platesAbout finite energy solutions in thermoelasticity of micropolar bodies with voidsA study on the thermoelasticity of three-phase-lag dipolar materials with voidsGeneral Decay of Solutions in One-Dimensional Porous-Elastic with Memory and Distributed Delay Term



Cites Work