Wiener-Hopf type models for cracks in dynamic elastic lattices

动态弹性晶格裂纹的 Wiener-Hopf 型模型

• 批准号: EP/D079489/1
• 负责人: Alexander Movchan
• 金额: $ 1.96万
• 依托单位: University of Liverpool
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2006
• 资助国家: 英国
• 起止时间: 2006 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FD079489%2F1
• 关键词: Wiener; Hopf; type; models; cracks

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.

该项目包括对具有周期性分布缺陷的动态晶格结构进行建模。这样的晶格可以具有非平凡的滤波/偏振特性。特别是，我们计划考虑裂纹在离散的非均匀晶格结构中的扩展，并解决可以阻止(或偏转)某种类型的动态裂纹的晶格的设计问题。弹性动力学问题，这是一项具有挑战性的任务。然而，斯莱潘教授和提出者的背景工作将使我们能够取得良好的进展。我们设想了在连续介质模型中没有出现的格子解的新特征。这项工作在抗震结构设计中具有实际应用价值。