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Dynamical extraction of a single chain from a discrete lattice

机译:从离散晶格动态提取单链

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摘要

We consider a nontrivial anti-plane shear fracture problem for a double-crack configuration where the remote external load is applied to the extracted mass-spring chain and the displacement field is symmetric with respect to the central axis between the cracks. An analytical solution obtained for the steady-state problem describes the displacement fields, stresses, local and global energy release rates and the dissipation. The double-crack configuration differs considerably from the classical problem of fracture in a lattice: the load is applied to the extracted chain rather than the outer domain as in the classical fracture problems. In the corresponding Wiener-Hopf equation, this leads to a special type of kernel, which is not typical for fracture problems.
机译:对于双裂纹配置,我们考虑了一个非平凡的反平面剪切断裂问题,其中远程外部载荷施加到提取的质量弹簧链上,并且位移场相对于裂纹之间的中心轴对称。针对稳态问题获得的解析解描述了位移场,应力,局部和全局能量释放率以及耗散量。双裂纹的配置与经典的网格断裂问题有很大的不同:载荷被施加到提取的链上,而不是像经典的断裂问题那样施加到外部区域。在相应的Wiener-Hopf方程中,这会导致一种特殊类型的核,这对于断裂问题并不常见。

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