论文标题
异构材料的梯度损坏模型
Gradient damage models for heterogeneous materials
论文作者
论文摘要
在本文中，我们研究了AM Brosio和Tortorelli类型的相位函数的渐近行为，允许在体积和扩散表面项中进行小规模的振荡。所检查的功能可以解释为异质材料的静态梯度损伤模型的实例。根据近似和振荡参数的相互消失速率，模型的有效行为通过伽马连接的方式完全表征。
In this paper we study the asymptotic behaviour of phase-field functionals of Am brosio and Tortorelli type allowing for small-scale oscillations both in the volume and in the diffuse surface term. The functionals under examination can be interpreted as an instance of a static gradient damage model for heterogeneous materials. Depending on the mutual vanishing rate of the approximation and of the oscillation parameters, the effective behaviour of the model is fully characterised by means of Gamma-convergence.
