Mathematical Sciences: Crack Propagation in Linear and Nonlinear Viscoelastic Material

主要研究人员将继续研究 各种数学模型的传播裂纹的线性和 非线性弹性和粘弹性材料。 对于模型的 线性材料的兴趣将集中在动态裂纹扩展， 粘弹性材料和界面断裂在两个弹性 和粘弹性材料。 对于非线性模型， 材料的兴趣将集中在发展和 有限元方法的数值实现 粘弹性材料中裂纹扩展的模拟 裂纹扩展现象出现在各种 重要的技术领域。 例如由于 聚合物和聚合物基复合材料的使用增加， 真正需要了解断裂过程的性质 在粘弹性材料中。 在这个项目中，校长 研究人员将采用分析和数值方法， 研究裂纹扩展的数学模型的弹性 和粘弹性材料。

The principal investigators will continue their studies of various mathematical models of propagating cracks in linear and nonlinear elastic and viscoelastic materials. For the models of linear materials interest will focus upon dynamic crack growth in viscoelastic materials and interfacial fractures in both elastic and viscoelastic materials. For the models of nonlinear materials interest will focus upon the development and implementation of finite element methods for the numerical simulation of growing cracks in viscoelastic materials. Crack propagation phenomena appear in a variety of technologically important areas. For example, due to the increased use of polymers and polymer-based composites there is a genuine need for understanding the nature of fracture processes in viscoelastic materials. In this project the principal investigators will apply analytical and numerical methods to study the propagation of cracks in mathematical models of elastic and viscoelastic materials.