论文标题
径向溶液的动态剥离模型在尺寸二
Radial solutions for a dynamic debonding model in dimension two
论文作者
论文摘要
在本文中，我们处理了一个薄膜二维膜的剥离模型，其中与时间有关的域上的波方程与流量规则（Griffith的原理）结合在一起，以进行域的演变。我们提出了能源释放速率的一般定义，这是格里菲斯标准制定的核心。接下来，通过存在结果，我们表明这种定义在径向解决方案的特殊情况下很好地提出了，这使我们能够采用一维模型的典型代表公式。
In this paper we deal with a debonding model for a thin film in dimension two, where the wave equation on a time-dependent domain is coupled with a flow rule (Griffith's principle) for the evolution of the domain. We propose a general definition of energy release rate, which is central in the formulation of Griffith's criterion. Next, by means of an existence result, we show that such definition is well posed in the special case of radial solutions, which allows us to employ representation formulas typical of one-dimensional models.
