报告题目 (Title)：Adaptive coupling method of local and nonlocal model for fracture in heterogeneous materials: modeling, analysis, and applications（非均质材料断裂问题的局部和非局部模型自适应耦合方法：建模、分析与应用）
报告人 (Speaker)：杨自豪 教授（西北工业大学）
报告时间 (Time)：2026年4月18日（周六）9:30-10:00
报告地点 (Place)：校本部A215
邀请人(Inviter)：纪丽洁
主办部门：理学院数学系
摘要：In this talk, we will introduce a coupling method that integrates local and nonlocal continuum mechanics to predict brittle fractures in heterogeneous materials. The main advantage of this approach is its ability to combine the strengths of classical continuum mechanics and non-local peridynamics, enabling accurate and efficient fracture simulations in heterogeneous materials. These two models are then coupled into a unified system of equations, with a transition region introduced to ensure a smooth connection between them. The convergence of the coupling model to classical continuum mechanics model is demonstrated through rigorous mathematical analysis. This method has been successfully applied to predict damage and fracture in particle-reinforced composites and functionally graded materials, and has also been utilized in the development of industrial fatigue life software FatiSight NX.
