聂玉峰 教授 （西北工业大学）

许现民 研究员

Re-derivation and Mathematical Analysis for Linear Peridynamics Model for Arbitrary Poisson Ratio’s Material

11月15日（周日）15:00-16:00，蓝白楼311

This talk is concerned with the modeling and mathematical analysis of linear peridynamic model for arbitrary Poisson’s ratio material. Based on the fundamental laws of dynamics, we re-derive the bond-based peridynamic model for anisotropic materials by relaxing certain assumptions. Through this process, we draw several significant conclusions, such as the relationship between the equivalent strain energy density hypothesis and the convergence of the peridynamic operator to the classical Navier operator. Additionally, the well-posedness of time-dependent peridynamic equations of motion is established. Finally, some necessary conditions for the material stability of anisotropic material are given.

报告人简介：聂玉峰，西北工业大学教授，博士生导师，数学与统计学院院长，国家教学名师，从事科学计算的模型、理论与方法研究及人才培养。获国家教学成果奖1项，陕西省科学技术二等奖、陕西高校科学技术优秀成果特等奖各1项。现担任学术期刊《International Journal of Numerical Analysis and Modeling》 执行主编、教育教学期刊《高等数学研究》副主编。