Stability and well-posedness of a rate-dependent damage model for brittle materials based on crack mechanics

A.B. Kunin; Q.H. Zuo

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Stability and well-posedness of a rate-dependent damage model for brittle materials based on crack mechanics

机译：基于裂纹力学的脆性材料速率相关损伤模型的稳定性和适定性

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This paper presents an investigation of the stability and well-posedness of a rate-dependent damage model for brittle materials. The model is based on the response of an ensemble of distributed microcracks under a general, three-dimensional state of stress. The stability and well-posedness of the model are studied by examining the behavior of dynamic perturbations to the steady-state solution of uniaxial-stress loading. It is shown that as a result of incorporating the strain-rate effect in the model, perturbations of all wave lengths remain bounded for finite times, making the problem well-posed. It is also shown that the corresponding rate-independent model is ill-posed in that perturbations grow unbounded with the wave number, even for finite times.

机译：本文对脆性材料的速率相关损伤模型的稳定性和适定性进行了研究。该模型基于在一般的三维应力状态下整体微裂纹的响应。通过检查动态摄动对单轴应力载荷的稳态解的行为，研究了模型的稳定性和适定性。结果表明，由于在模型中加入了应变率效应，所有波长的扰动在有限的时间内保持有界，从而使问题很容易解决。还表明，相应的速率无关模型是不适当的，因为即使在有限的时间内，扰动也不受波数的限制而增长。

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来源
《Applied Mathematical Modelling》 |2016年第6期|3801-3811|共11页
作者
A.B. Kunin; Q.H. Zuo;
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作者单位

Department of Mechanical and Aerospace Engineering, University of Alabama in Huntsville, Huntsville, Alabama 35899, USA;

Department of Mechanical and Aerospace Engineering, University of Alabama in Huntsville, Huntsville, Alabama 35899, USA;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Stability analysis; Well-posedness; Material model; Brittle materials; Damage mechanics; Micromechanics;

机译：稳定性分析;身体健康;材料模型;脆性材料;损伤机理;微力学;

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1. A rate-dependent damage model for brittle materials based on the dominant crack [J] . Zuo QH, Addessio FL, Dienes JK, International Journal of Solids and Structures . 2006,第11a12期

机译：基于主裂纹的脆性材料基于速率的损伤模型
2. A crack-mechanics based model for damage and plasticity of brittle materials under dynamic loading [J] . Zuo Q.H., Disilvestro D., Richter J.D. International Journal of Solids and Structures . 2010,第20期

机译：基于裂纹力学的脆性材料在动态载荷下的损伤和塑性模型
3. A numerical study on crack branching in quasi-brittle materials with a new effective rate-dependent nonlocal damage model [J] . Pereira L. F., Weerheijm J., Sluys L. J. Engineering Fracture Mechanics . 2017,第期

机译：新型有效率依赖性非函数损伤模型对准脆性材料裂纹分支的数值研究
4. A fracture-mechanics-based non-local damage model for crack prediction in brittle materials [C] . Zhang Xiao-Bing, Li Jia International conference on fracture . 2013

机译：基于断裂力学的非局部损伤模型，用于脆性材料的裂纹预测
5. Study of the fracture behavior of concrete by the development and application of the nonlinear finite element code incorporating the composite damage mechanics theory for brittle materials. [D] . Shaikh, Adnan Muzaffar. 2006

机译：通过结合脆性材料的复合损伤力学理论的非线性有限元代码的开发和应用，研究混凝土的断裂行为。
6. Gradient-Enhanced Modelling of Damage for Rate-Dependent Material Behaviour—A Parameter Identification Framework [O] . Robin Schulte, Richard Ostwald, Andreas Menzel 2020

机译：梯度增强率依赖材料行为损坏建模 - 参数识别框架
7. A rate-dependent damage model for brittle materials based on the dominant crack [O] . Zuo Q.H., Addessio F.L., Dienes J.K., 2006

机译：基于主裂纹的脆性材料基于速率的损伤模型

Stability and well-posedness of a rate-dependent damage model for brittle materials based on crack mechanics

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