Localised knife waves in a structured interface
Localised knife waves in a structured interface
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DOI：
10.1016/j.jmps.2009.08.004
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发表时间：
2009-12-01
影响因子：
5.3
通讯作者：
Slepyan, Leonid I.
中科院分区：
文献类型：
--
作者：
Mishuris, Gennady S.;Movchan, Alexander B.;Slepyan, Leonid I.
我们考虑一个模式III晶格与界面层的动态裂纹扩展是由一个本地化的正弦波。在波断裂的情况下，“馈电波”（这里也称为刀波）提供能量到移动的裂纹前端，而耗散波携带一部分能量远离前端。这里要解决的问题是：局部刀波存在的条件是什么？对于给定的变形断裂准则，支持裂纹扩展的馈电波振幅的下限是多少？裂纹扩展速度与入射波振幅的关系如何？什么是耗散波？这些波辐射出多少能量，总的耗散是多少？扩展裂纹的稳态区存在的条件是什么？我们认为分析两个既定的制度：稳态制度，其中相邻的群众（沿着接口）的运动不同，只有一个恒定的时间移位，和交替应变制度，其中相应的振幅不同的符号。我们还给出了高对比度界面结构模型的数值模拟结果。沿着馈送和耗散波的能量，辐射到晶格的主体的能量被识别。(c)2009爱思唯尔有限公司保留所有权利。
We consider a Mode III lattice with an interface layer where the dynamic crack growth is caused by a localised sinusoidal wave. In the wave-fracture scenario, the 'feeding wave' (here also called the knife wave) delivers energy to the moving crack front, while the dissipative waves carry a part of this energy away from the front. The questions addressed here are:What are the conditions of existence of the localised knife wave?What is the lower bound of the amplitude of the feeding wave, which supports the crack propagation, for a given deformational fracture criterion?How does the crack speed depend on the amplitude of the feeding wave?What are the dissipative waves? How much energy is irradiated by these waves and what is the total dissipation?What are the conditions of existence of the steady-state regime for the propagating crack?We consider analytically two established regimes: the steady-state regime, where the motion of neighbouring masses (along the interface) differs only by a constant shift in time, and an alternating-strain regime, where the corresponding amplitudes differ by sign. We also present the numerical simulation results for a model of a high-contrast interface structure. Along with the energy of the feeding and dissipative waves, an energy radiated to the bulk of the lattice is identified. (c) 2009 Elsevier Ltd. All rights reserved.