汇报标题 (Title)：Adaptive coupling method of local and nonlocal model for fracture in heterogeneous materials: modeling, analysis, and applications（非均质资料断裂问题的部门和非部门模型自适应耦合步骤：建模、分析与利用）
汇报人 (Speaker)：杨高慢 教授（西北工业大学）
汇报功夫 (Time)：2026年4月18日（周六）9:30-10:00
汇报地址 (Place)：校本部A215
约请人(Inviter)：纪丽洁
主办部门：理学院数学系
提要：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.
