时间：2016年6月29日9:30
地点：船海楼三楼大会议室
题目：Peridynamics Simulations of Fracture and Fragmentation of Solids and Granular Materials, and Fluid Mechanics Problems
报告人：李少凡
主办单位：科学技术研究院
承办单位：船舶工程学院
报告人简介：
李少凡，美国加州大学伯克利分校终身教授，先后获得美国佛罗里达大学（UF）硕士学位（1993）、美国西北大学（NWU）博士学位（1997）。1997年至2000年，在美国西北大学伊文斯顿分校从事博士后研究；2000年至今，就职于美国加州大学伯克利分校。兼任美国机械工程师学会会员、美国计算力学联合会会员、美国航空工程荣誉协会荣誉会员等职务。凭借其在无网格方法及应用研究等方面取得的成就，2003年获得了美国科学基金总统奖。
报告内容简介:
Peridynamics is a relatively new nonlocal meshfree particle method that can be used to conduct fast simulation of fracture and fragmentation of solids without remesh. In this talk, we shall introduce the theory of both bond-based peridynamics as well as the state-based peridynamics, their computational formulations, focusing on issues of computer implementation and physical modeling. Moreover, we shall discuss our recent wok on developing a state-based peridynamics model for granular materials, and how to apply them to simulate soil fragmentation due to both impulse and blast loads. Moreover, we shall discuss the recent developed Updated Lagrangian Peridynamics Formulation for solving fluid mechanics problems.
In this talk, first, we have discussed the nonlocal differential operator approach based on the non-local integral equation. Second, we will discuss how to implement the Drucker-Prager constitutive model in peridynamics for finite deformation. Here the peridynamics form of the Hughes and Winget theory is derived for the finite deformation constitutive update. Third, we shall discuss the updated Lagrangian formulation for the state-based peridynamics, and its application to solve Navier-Stokes equation. We have carried out numerical simulations to validate the proposed peridynamics formulations in soil fragmentation, as well as to validate the Updated Lagrangian Peridynamics Formulation for fluid mechanics in several bench mark problems.
