非均匀介质中裂纹前缘的自仿射粗糙度
On the Self-Affine Roughness of a Crack Front in Heterogeneous Media
摘要：
对描述自仿射粗糙裂纹前缘演化的长程弹性模型进行了线性和非线性分析。它示出的非线性项，而重要的是在改变前的动态，不改变标度指数表征的粗糙度的前。因此，模型预测的标度指数比实验观察到的小得多。不可避免的结论是，实验结果和用来描述它们的模型之间的差距太大了，必须为另一个模型调用一些新的物理学。
英文摘要：
The long-ranged elastic model, which is believed to describe the evolution of a self-affine rough crack-front, is analyzed to linear and non-linear orders. It is shown that the nonlinear terms, while important in changing the front dynamics, are not changing the scaling exponent which characterizes the roughness of the front. The scaling exponent thus predicted by the model is much smaller than the one observed experimentally. The inevitable conclusion is that the gap between the results of experiments and the model that is supposed to describe them is too large, and some new physics has to be invoked for another model.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
