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所在平台: Udemy |
课程主页: https://www.udemy.com/course/understanding-explicit-solid-dynamics-theory/
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课程名称：理解显式固体动力学：理论 课程概述：《理解显式固体动力学》课程分为三个模块：引言、理论与实践。理论模块建立在引言模块提供的基础之上，引言模块为显式固体动力学技术及其应用提供了广泛的概述。在理论模块中，我们将深入探讨显式固体动力学的基本概念，为学生提供使用数值方法模拟和分析动态事件所需的知识。 理论模块分为两个主要部分，每部分涵盖显式固体动力学仿真的一个重要方面。第一部分将回顾非线性固体力学的关键概念，重点关注运动固体的运动学。我们将研究变形梯度、应力和应变度量，以及拉格朗日公式的基础知识。将讨论动态系统的平衡和守恒特性，以及固体中的应力波概念。这些主题将详细讲解，并提供补充讲义以巩固概念。 第二部分探讨显式固体动力学的数值方面，特别是时间积分器的主题。我们将比较隐式方法与显式方法，探索显式方案的稳定性特性。将详细介绍临界时间步长和Courant-Friedrichs-Lewy条件。 在理论模块结束时，学生将对非线性固体力学的基本概念、固体中的应力波以及显式与隐式方法之间的差异有一个扎实的理解。他们将了解显式动力学仿真的背后原理，理解网格划分、材料属性和时间积分器参数的影响。这些知识对于成功完成课程的最后一个模块——实践模块（专注于实际仿真的各个方面）至关重要。 注意：本课程的目标不是传授特定软件的使用，软件演示将不会进行。课程中展示的概念适用于任何显式动力学软件，学生被鼓励探索他们选择的软件。
The course "Understanding Explicit Solid Dynamics" is divided into three separate modules: Introduction, Theory and Practice. The Theory module builds upon the foundations provided in the Introduction module, which gave a broad overview of explicit solid dynamics technology and its applications. In this module, we will dive deeper into the fundamental concepts of explicit solid dynamics, providing students with the necessary knowledge to start simulating and analyzing dynamic events using numerical methods.The module is divided into two main sections, each covering an essential aspect of explicit solid dynamics simulation.In the first section, we will review the key concepts of nonlinear solid mechanics, focusing on the kinematics of moving solids. We will study the deformation gradient, stress and strain measures and an introduction to Lagrangian formulations. Equilibrium and conservation properties of dynamic systems will be discussed, along with the concepts of stress waves in solids. These topics will be covered in detail, and have complementary lecture notes to consolidate the concepts.The second section explores the numerical aspects of explicit solid dynamics, specifically, the topic of time integrators. We will compare and contrast Implicit and Explicit methods and explore the stability properties of explicit schemes. The concept of critical time step and the Courant-Friedrichs-Lewy condition will be covered in detail.By the end of the Theory module, students will have a solid understanding of the fundamental concepts of nonlinear solid mechanics, stress waves in solids, and the differences between explicit and implicit methods. They will gain notions of what is behind explicit dynamics simulations, understand the influence of meshing, material properties, and time integrator parameters. This knowledge will be crucial for successfully completing the final module of the course, Practice, which focuses on diverse aspects of practical simulations.Note: the objective of this course is not to teach any particular software. Demos of software will not be performed. The concepts presented in the course are applicable to any explicit dynamics software, and the students are encouraged to explore the software of their choice.
