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Propagation of Slepyan's crack in a non-uniform elastic lattice

机译:Slepyan裂纹在非均匀弹性格中的传播

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摘要

We model and derive the solution for the problem of a Mode Ⅰ semi-infinite crack propagating in a discrete triangular lattice with bonds having a contrast in stiffness in the principal lattice directions. The corresponding Green's kernel is found and from this wave dispersion dependencies are obtained in explicit form. An equation of the Wiener-Hopf type is also derived and solved along the crack face, in order to compute the stress intensity factor for the semi-infinite crack. The crack stability is analysed via the evaluation of the energy release rate for different contrasts in stiffness of the bonds.
机译:我们对Ⅰ型半无限裂纹在离散的三角形晶格中传播的问题进行建模并得出了解决方案,该晶格的键在主晶格方向上具有刚度上的对比。找到相应的格林核,并从中以显式形式获得波的色散相关性。为了计算半无限裂纹的应力强度因子,还沿着裂纹面推导并求解了维纳-霍夫夫类型的方程。通过评估能量释放速率来分析裂纹刚度,以了解粘结刚度的不同差异。

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