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相关论文: A Damage Phase-Field Model for Fractional Viscoela…

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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

In this paper we study a model for phase separation and damage in thermoviscoelastic materials. The main novelty of the paper consists in the fact that, in contrast with previous works in the literature (cf., e.g., [C. Heinemann, C. Kraus:…

偏微分方程分析 · 数学 2015-10-14 C. Heinemann , C. Kraus , E. Rocca , R. Rossi

Fracture of viscoelastic materials is considered to be a complex phenomenon due to their highly rate sensitive behavior. In this context, we are interested in the quasi-static response of a viscoelastic solid subjected to damage. This paper…

计算工程、金融与科学 · 计算机科学 2023-05-15 Rajasekar Gopalsamy , Nicolas Chevaugeon , Olivier Chupin , Ferhat Hammoum

We develop a thermodynamically consistent, fractional visco-elasto-plastic model coupled with damage for anomalous materials. The model utilizes Scott-Blair rheological elements for both visco-elastic/plastic parts. The constitutive…

数值分析 · 数学 2019-11-19 Jorge L. Suzuki , Yongtao Zhou , Marta D'Elia , Mohsen Zayernouri

In this work, we analytically investigate a multi-component system for describing phase separation and damage processes in solids. The model consists of a parabolic diffusion equation of fourth order for the concentration coupled with an…

偏微分方程分析 · 数学 2013-12-09 Elena Bonetti , Christian Heinemann , Christiane Kraus , Antonio Segatti

A micromechanically motivated phase-field damage model is proposed to investigate the fracture behaviour in crosslinked polyurethane adhesive. The crosslinked polyurethane adhesive typically show viscoelastic behaviour with geometric…

计算工程、金融与科学 · 计算机科学 2024-06-11 S. P. Josyula , M. Brede , O. Hesebeck , K. Koschek , W. Possart , A. Wulf , B. Zimmer , S. Diebels

In the present work, the evolution of damage in periodic composite materials is investigated through a novel finite element-based multiscale computational approach. The methodology is developed by means of the original combination of…

数值分析 · 数学 2019-08-09 Francesca Fantoni , Andrea Bacigalupo , Marco Paggi , Josè Reinoso

We address a three-dimensional model capable of describing coupled damage and plastic effects in solids at finite strains. Formulated within the variational setting of {\it generalized standard materials}, the constitutive model results…

偏微分方程分析 · 数学 2020-12-30 David Melching , Michael Neunteufel , Joachim Schöberl , Ulisse Stefanelli

We present a model for rate-independent, unidirectional, partial damage in visco-elastic materials with inertia and thermal effects. The damage process is modeled by means of an internal variable, governed by a rate-independent flow rule.…

偏微分方程分析 · 数学 2018-08-29 Giuliano Lazzaroni , Riccarda Rossi , Marita Thomas , Rodica Toader

We present and review several models of fractional viscous stresses from the literature, which generalise classical viscosity theories to fractional orders by replacing total strain derivatives in time with fractional time derivatives. We…

软凝聚态物质 · 物理学 2024-03-14 Harold Berjamin , Michel Destrade

In this work, we extend a phase-field approach for pressurized fractures to non-isothermal settings. Specifically, the pressure and the temperature are given quantities and the emphasis is on the correct modeling of the interface laws…

数值分析 · 数学 2019-05-22 Nima Noii , Thomas Wick

We introduce a one-dimensional stress-rate type nonlinear viscoelastic model for solids that obey the assumptions of the strain-limiting theory. Unlike the classical viscoelasticity theory, the critical hypothesis in the present…

偏微分方程分析 · 数学 2020-09-09 Husnu A. Erbay , Yasemin Sengul

This paper is devoted to the study of a hemivariational inequality modeling the quasistatic bilateral frictional contact between a viscoelastic body and a rigid foundation. The damage effect is built into the model through a parabolic…

数值分析 · 数学 2019-12-18 Weimin Han , Michal Jureczka , Anna Ochal

In this paper we analyze an isothermal and isotropic model for viscoelastic media combining linearized perfect plasticity (allowing for concentration of plastic strain and development of shear bands) and damage effects in a dynamic setting.…

偏微分方程分析 · 数学 2019-04-04 Elisa Davoli , Tomáš Roubíček , Ulisse Stefanelli

We study the existence of quasistatic evolutions for a family of gradient damage models which take into account fatigue, that is the process of weakening in a material due to repeated applied loads. The main feature of these models is the…

偏微分方程分析 · 数学 2020-09-24 Roberto Alessi , Vito Crismale , Gianluca Orlando

This article deals with a viscoplastic material model of overstress type. The model is based on a multiplicative decomposition of the deformation gradient into elastic and inelastic part. An additional multiplicative decomposition of…

数值分析 · 数学 2015-05-13 A. V. Shutov , R. Kreissig

This work extends the hydro-mechanical phase-field fracture model to non-isothermal conditions with micromechanics based poroelasticity, which degrades Biot's coefficient not only with the phase-field variable (damage) but also with the…

数值分析 · 数学 2024-04-25 Yuhao Liu , Keita Yoshioka , Tao You , Hanzhang Li , Fengshou Zhang

A novel phase-field for ductile fracture model is presented. The model is developed within a consistent variational framework in the context of finite-deformation kinematics. A novel coalescence dissipation introduces a new coupling…

材料科学 · 物理学 2021-03-24 Tianchen Hu , Brandon Talamini , Andrew J. Stershic , Michael R. Tupek , John E. Dolbow

A non-isothermal phase field model that captures both displacive and diffusive phase transformations in a unified framework is presented. The model is developed in a formal thermodynamic setting, which provides guidance on admissible…

材料科学 · 物理学 2011-12-02 Mirko Maraldi , Garth N. Wells , Luisa Molari

In recent years, various phase field models have been developed in variational methods to simulate the failure of brittle solids. However, there is a lack of objective evaluation of the existing results, and in particular, there are few…

数值分析 · 数学 2021-09-23 Yuanfeng Yu , Xiaoya Zheng , Peng Li , Zhongzhou Zhang , Jinyou Xiao
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