Wiener-Hopf type models for cracks in dynamic elastic lattices

该项目涉及模拟动态晶格结构与crystallydistributed缺陷。这样的晶格可以具有非平凡的滤波/偏振特性。特别是，我们正计划考虑裂纹在离散的非均匀晶格结构中的传播，并解决可能阻止（或偏转）某种类型的动态裂纹的晶格的设计问题。对于弹性力学问题，这是一个具有挑战性的课题。然而，Slepyan教授和提议者的背景工作将使我们能够取得良好的进展。我们设想的新功能的晶格解决方案，不发生在连续模型。这项工作的实际应用是在抗震结构的设计。

The project involves modelling of dynamic lattice structures with periodicallydistributed defects. Such a lattice may have non-trivial filtering/polarisationproperties. In particular, we are planning to consider cracks propagating in thediscrete inhomogeneous lattice structures and address the question of design of alattice that may stop (or deflect) dynamic cracks of a certain type. Fordynamic problems of elasticity, this is a challenging task. However, the background work of Prof Slepyan and of the proposers will enable us to make a good progress. We envisage new features of the lattice solutions that do not occur in the continuum models. Practical applications of this work are in the design of earthquake resistant structures.