"动力弹塑性分析方法及功能特性深度解析与应用"

In the document "数学建模学习方法-13_动力弹塑性分析的直接积分法", the direct integration method for dynamic elastoplastic analysis is discussed in detail. This method is used to analyze the response of materials under dynamic loading conditions, taking into account both elastic and plastic deformation. The document highlights the development of the direct integration method by the second development group, focusing on the recovery force characteristics in dynamic elastoplastic analysis. These characteristics include various types of hardening behaviors such as kinematic hardening, isotropic hardening, mixed hardening, trilinear peak-oriented, trilinear origin-oriented, degrading bilinear, degrading trilinear, trilinear elastic, Ramberg-Osgood, Takeda, Takeda with slip, trilinear slip, and degrading stiffness model. The direct integration method is an efficient numerical technique used to solve dynamic elastoplastic problems in engineering and science. It allows for the accurate prediction of material behavior under complex loading conditions, taking into account both elastic and plastic deformation. By considering the recovery force characteristics, the direct integration method provides a comprehensive analysis of material response, enabling engineers and researchers to better understand and predict the performance of structures and components in real-world applications. Overall, the direct integration method for dynamic elastoplastic analysis plays a crucial role in the field of structural engineering and materials science, offering a powerful tool for studying material behavior under dynamic loading conditions and improving the design and performance of engineering systems.