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Our research is directed to a quasi-static evolution of the thermo-visco-elastic model. We assume that the material is subject to two kinds of mechanical deformations: elastic and inelastic. Moreover, our analysis captures the influence of…

偏微分方程分析 · 数学 2014-04-08 Piotr Gwiazda , Filip Z. Klawe , Agnieszka Świerczewska-Gwiazda

In this work we study a quasi-static evolution of thermo-visco-elastic model with homogeneous thermal expansion. We assume that material is subject to two kinds of mechanical deformations: elastic and inelastic. Inelastic deformation is…

偏微分方程分析 · 数学 2016-11-17 Piotr Gwiazda , Filip Z. Klawe , Sebastian Owczarek

We derive a class of thermodynamically consistent variants of Maxwell/Oldroyd-B type models for viscoelastic fluids. In particular, we study the models that allow one to consider temperature dependent material coefficients. This naturally…

流体动力学 · 物理学 2017-07-12 Jaroslav Hron , Vojtěch Miloš , Vít Průša , Ondřej Souček , Karel Tůma

The aim of this paper is to prove the existence of weak solution for a quasi-static evolution of thermo-visco-elastic model with Norton-Hoff law of plasticity. The dependence on temperature occurs both in the elastic constitutive equations…

偏微分方程分析 · 数学 2021-09-30 Sebastian Owczarek

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 study a thermodynamically consistent model describing phenomena in a visco-plastic metal subjected to temperature changes. We complete the model with the mixed boundary condition on displacement and stress and Neumann-type condition for…

偏微分方程分析 · 数学 2014-08-13 Leszek Bartczak , Sebastian Owczarek

This paper presents a new approach to study the effects of temperature on the poro- elastic and viscoelastic behavior of articular cartilage. Biphasic solid-fluid mixture theory is applied to study the poro-mechancial behavior of articular…

生物物理 · 物理学 2017-10-17 Reza Behrou , Hamid Foroughi , Fardad Haghpanah

Viscoelastic rate-type fluid models are essential for describing the behavior of a wide range of complex materials, with applications in fields such as engineering, biomaterials, and medicine. These models are particularly useful for…

偏微分方程分析 · 数学 2025-05-01 Miroslav Bulìček , Jakub Woźnicki

At temperatures well below their glass transition, the deformation properties of bulk metallic glasses are characterised by a sharp transition from elasticity to plasticity, a reproducible yield stress, and an approximately linear decrease…

软凝聚态物质 · 物理学 2013-11-18 P. M. Derlet , R. Maaß

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

At this project considers the problem of analysis temperature deformation of elastic elements of the spacecraft. Spacecraft periodically appears in the earth's shadow on the sunny side when moving from the orbit. Abruptly changing the…

综合物理 · 物理学 2010-07-26 A. V. Sedelnikov , M. I Kazarina

The development of a subduction zone, whether spontaneous or induced, encompasses a stage of strain localization and is epitomized by the growth of lithospheric-scale shear bands. Our aim in this paper, using a solid-mechanical constitutive…

地球物理 · 物理学 2022-12-27 Ekeabino Momoh , Harsha S. Bhat , Steve Tait

This manuscript is concerned with a two-component evolution system generalizing the classical model for one-dimensional thermoviscoelastic dynamics in Kelvin-Voigt materials in the presence of temperature-dependent viscosities and elastic…

偏微分方程分析 · 数学 2026-02-05 Michael Winkler

We focus on a highly nonlinear evolutionary abstract PDE system describing volume processes coupled with surfaces processes in thermoviscoelasticity, featuring the quasi-static momentum balance, the equation for the unidirectional evolution…

偏微分方程分析 · 数学 2014-02-11 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

Thermo-elasticity couples the deformation of an elastic (solid) body to its temperature and vice-versa. It is a solid-like property. Highlighting such property in liquids is a paradigm shift: it requires long-range collective interactions…

软凝聚态物质 · 物理学 2020-10-07 Eni Kume , Patrick Baroni , Laurence Noirez

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

统计力学 · 物理学 2009-10-30 M. L. Falk , J. S. Langer

We study the dynamics of small perturbations to the rest state of a viscoelastic rate type fluid with temperature dependent material parameters. We show that if the material parameters are chosen appropriately, then the quiescent state of…

流体动力学 · 物理学 2017-05-24 Judith Stein , Vít Průša

In this paper, we study the thermo-elastodynamics of nonlinearly viscous solids in the Kelvin-Voigt rheology where both the elastic and the viscous stress tensors comply with the frame-indifference principle. The system features a force…

偏微分方程分析 · 数学 2024-09-04 S. Almi , R. Badal , M. Friedrich , S. Schwarzacher

The size and shape of a large variety of polymeric particles, including biological cells, star polymers, dendrimes, and microgels, depend on the applied stresses as the particles are extremely soft. In high-density suspensions these…

统计力学 · 物理学 2018-04-11 Yan-Wei Li , Massimo Pica Ciamarra

The pivotal point of the paper is to discuss the behavior of temperature, pressure, energy density as a function of volume along with determination of caloric EoS from following two model: $w(z)=w_{0}+w_{1}\ln(1+z)$ & $…

综合物理 · 物理学 2015-03-09 Sridip Pal , Ritabrata Biswas
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