Mathematical Sciences: Crack Propagation in Linear and Nonlinear Viscoelastic Material

调查人员将继续他们的调查 固体中的传播现象 他们将构建分析 正则初边值问题的解 到动态加速裂缝的建模， 粘弹性复合材料 各种裂尖破坏区 本构模型，包括线性和非线性，将是 研究了 对于非线性模型，数值模拟将 动态增长的裂缝。 过渡 从准静态到动态裂纹扩展将是 研究了 结构构件常见失效模式引起的裂缝 大多数工程结构。 分析研究 这个项目的数值模拟将帮助工程师 以更好地理解这种故障机制。

The investigators will continue their investigation in crack propagation phenomena in solids. They will construct analytical solutions to canonical initial/boundary value problems relevant to the modeling of dynamically accelerating cracks in viscoelastic composites. Various crack-tip failure zone constitutive models, both linear and nonlinear, will be investigated. For nonlinear models, numerical simulations will be performed of the dynamically growing cracks. The transition from quasi-static to dynamic crack propagation will be investigated. Cracks from a common mode of failure in structural members of most engineering structures. The analytical study and numerical simulations of this project will help the engineers to better understand such failure mechanisms.