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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

Devised towards geophysical applications for various processes in the lithosphere or the crust, a model of poro-elastodynamics with inelastic strains and other internal variables like damage (aging) and porosity as well as with diffusion of…

偏微分方程分析 · 数学 2021-09-01 Tomáš Roubíček , Giuseppe Tomassetti

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

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

Rocks are important examples for solid materials where, in various engineering situations, elastic, thermal expansion, rheological/viscoelastic and plastic phenomena each may play a remarkable role. Nonequilibrium continuum thermodynamics…

软凝聚态物质 · 物理学 2017-12-05 Csaba Asszonyi , Attila Csatár , Tamás Fülöp

Coupling of rupture processes in solids with waves also propagating in fluids is a prominent phenomenon arising during tectonic earthquakes. It is executed here in a single `monolithic' model which can asymptotically capture both damageable…

地球物理 · 物理学 2019-09-19 Tomáš Roubíček , Roman Vodička

A dynamic earthquake source process is modeled by assuming interaction among frictional heat, fluid pressure, and inelastic porosity. In particular, fluid pressure increase due to frictional heating (thermal pressurization effect) and fluid…

地球物理 · 物理学 2017-09-13 Takehito Suzuki

Moist thermodynamics is a fundamental driver of atmospheric dynamics across all scales, making accurate modeling of these processes essential for reliable weather forecasts and climate change projections. However, atmospheric models often…

大气与海洋物理 · 物理学 2024-11-18 Kieran Ricardo , David Lee , Kenneth Duru

A geometrically nonlinear continuum mechanical theory is formulated for deformation and failure behaviors of amorphous polymers. The model seeks to capture material response over a range of loading rates, temperatures, and stress states…

材料科学 · 物理学 2026-02-10 John D. Clayton

The burgeoning need to sequester anthropogenic CO$_2$ for climate mitigation and the need for energy sustenance leading upto enhanced geothermal energy production has made it incredibly critical to study potential earthquakes due to fluid…

地球物理 · 物理学 2021-08-04 Saumik Dana , Birendra Jha

The philosophy that a single "monolithic" model can "asymptotically" replace and couple in a simple elegant way several specialized models relevant on various Earth layers is presented and, in special situations, also rigorously justified.…

偏微分方程分析 · 数学 2018-04-18 Tomáš Roubíček

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 accurate, reliable and efficient numerical approximation of multi-physics processes in heterogeneous porous media with varying media coefficients that include fluid flow and structure interactions is of fundamental importance in energy,…

数值分析 · 数学 2018-01-17 Uwe Köcher

A new approach to the volcanic eruption theory is proposed. It is based on a simple physical mechanism of the imbalance in the system "magma-crust-fluid". This mechanism helps to explain from unified positions the different types of…

地球物理 · 物理学 2012-08-06 Andrei Nechayev

This paper discusses a continuum approach to track the evolution of permeability in granular rocks by accounting for the combined effect of porosity changes, grain breakage and cement bond damage. To account for such a broad range of…

地球物理 · 物理学 2016-12-13 Shiva Esna Ashari , Arghya Das , Giuseppe Buscarnera

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 continuum mixture theory is formulated for large deformations, thermal effects, phase interactions, and degradation of soft biologic tissues. Such tissues consist of one or more solid and fluid phases and can demonstrate nonlinear…

软凝聚态物质 · 物理学 2024-09-10 John D. Clayton

This study proposes and explores a linear hydrodynamic thermo-elasticity system within mixture models, comprising fluid and solid phases, with a focus on biological tissues, particularly tumor-related phenomena. Although tumor growth is not…

偏微分方程分析 · 数学 2025-02-11 Michael Eden , Meraj Alam , Prakash Kumar , G P Raja Sekhar

We provide a general model for Brownian motions on metric graphs with interactions. In a general setting, for (sticky) Brownian propagations on edges, our model provides a characterization of lifetimes and holding times on vertices in terms…

概率论 · 数学 2025-09-29 Fausto Colantoni , Mirko D'Ovidio , Flavia Tavani
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