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相关论文: A convective model for poro-elastodynamics with da…

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A thermodynamically consistent visco-elastodynamical model at finite strains is derived that also allows for inelasticity (like plasticity or creep), thermal coupling, and poroelasticity with diffusion. The theory is developed in the…

数学物理 · 物理学 2024-04-17 Alexander Mielke , Tomáš Roubíček

A mathematical model for an elastoplastic porous continuum subject to large strains in combination with reversible damage (aging), evolving porosity, water and heat transfer is advanced. The inelastic response is modeled within the frame of…

偏微分方程分析 · 数学 2018-07-06 Tomas Roubicek , Ulisse Stefanelli

A model of saturated hyperelastic porous solids at large strains is formulated and analysed. The material response is assumed to be of a viscoelastic Kelvin-Voigt type and inertial effects are considered, too. The flow of the diffusant is…

偏微分方程分析 · 数学 2022-10-13 Tomas Roubicek , Ulisse Stefanelli

A general-purpose model combining concepts from rational continuum mechanics, fracture and damage mechanics, plasticity, and poromechanics is devised in Eulerian coordinates, involving objective time derivatives. The model complies with…

地球物理 · 物理学 2021-09-01 Tomáš Roubíček

We present a model for the dynamics of elastic or poroelastic bodies with monopolar repulsive long-range (electrostatic) interactions at large strains. Our model respects (only) locally the non-self-interpenetration condition but can cope…

偏微分方程分析 · 数学 2019-08-07 Tomas Roubicek , Giuseppe Tomassetti

The fully-implicit time discretization (i.e. the backward Euler formula) is applied to compressible nonlinear dynamical models of viscoelastic solids in the Eulerian description, i.e. in the actual deforming configuration. The Kelvin-Voigt…

偏微分方程分析 · 数学 2024-07-29 Tomáš Roubíček

Isothermal visco-elastodynamics in the Kelvin-Voigt rheology is formulated in the spatial Eulerian coordinates in terms of velocity and deformation gradient. A generally nonconvex (possibly also frame-indifferent) stored energy is admitted.…

偏微分方程分析 · 数学 2022-04-13 Tomáš Roubíček

The thermodynamical model of visco-elastic deformable solids at finite strains is formulated in a fully Eulerian way in rates. Also effects of thermal expansion or buoyancy due to evolving mass density in a gravity field are covered. The…

偏微分方程分析 · 数学 2023-09-14 Tomáš Roubíček

This paper describes a modification of Ehlers' model for the inelastic behavior of granular media. The modified model can be applied for describing the inelastic behavior of porous media. The key feature is a subtle change of the yield…

软凝聚态物质 · 物理学 2023-07-21 Martin Abendroth , Alexander Malik , Bjoern Kiefer

We perform the linear stability analysis for a new model for poromechanical processes with inertia (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and reacting solutes…

Nonlinear hydrodynamic equations for visco-elastic media are discussed. We start from the recently derived fully hydrodynamic nonlinear description of permanent elasticity that utilizes the (Eulerian) strain tensor. The reversible quadratic…

软凝聚态物质 · 物理学 2007-05-23 Harald Pleiner , Mario Liu , Helmut R. Brand

Though a number of formulations have been proposed for phase--field models for hydraulic fracture, the definition of the degraded poroelastic strain energy varies from one model to another. This study explores previously proposed forms of…

数值分析 · 数学 2023-10-17 Tao You , Keita Yoshioka

The fully-implicit time discretization (i.e. the backward Euler formula) is applied to compressible nonlinear dynamical models of thermo-viscoelastic solids in the Eulerian description, i.e. in the actual deforming configuration, formulated…

数值分析 · 数学 2025-12-09 Tomáš Roubíček

We propose a thermodynamically consistent general-purpose model describing diffusion of a solute or a fluid in a solid undergoing possible phase transformations and damage, beside possible visco-inelastic processes. Also heat…

数学物理 · 物理学 2015-10-28 Tomas Roubicek , Giuseppe Tomassetti

We present a dynamic model for inhomogeneous viscoelastic media at finite strains. The model features a Kelvin-Voigt rheology, and includes a self-generated gravitational field in the actual evolving configuration. In particular, a fully…

偏微分方程分析 · 数学 2024-11-12 Alexander Mielke , Tomas Roubicek , Ulisse Stefanelli

A quasistatic nonlinear model for poro-visco-elastic solids at finite strains is considered in the Lagrangian frame using the concept of second-order nonsimple materials. The elastic stresses satisfy static frame-indifference, while the…

偏微分方程分析 · 数学 2023-06-27 Willem J. M. van Oosterhout , Matthias Liero

A general model covering a large variety of the so-called adhesive or cohesive, possibly also frictional, contact interfaces between visco-elastic bodies with inertia considered in a thermodynamical context is presented. A semi-implicit…

偏微分方程分析 · 数学 2019-06-11 Tomáš Roubíček

The thermodynamical model of viscoelastic deformable solids at finite strains with Kelvin-Voigt rheology with a higher-order viscosity (using the concept of multipolar materials) is formulated in a fully Eulerian way in rates. Assumptions…

偏微分方程分析 · 数学 2025-02-05 Tomáš Roubíček

A quasistatic nonlinear model for finite-strain poro-visco-elasticity is considered in the Lagrangian frame using Kelvin-Voigt rheology. The model consists of a mechanical equation which is coupled to a diffusion equation with a degenerate…

偏微分方程分析 · 数学 2024-08-28 Willem J. M. van Oosterhout

The modeling of coupled fluid transport and deformation in a porous medium is essential to predict the various geomechanical process such as CO2 sequestration, hydraulic fracturing, and so on. Current applications of interest, for instance,…

偏微分方程分析 · 数学 2022-01-03 Mina Karimi , Mehrdad Massoudi , Noel Walkington , Matteo Pozzi , Kaushik Dayal
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