Understanding Explicit Solid Dynamics - Theory

Theoretical aspects of explicit dynamics
What you'll learn:
A clear understanding of key concepts in nonlinear continuum mechanics
The foundations of Explicit Solid Dynamics: stress waves in solids and time integrators
How to identify opportunities and use cases for explicit methods
How to assess the stability of numerical solutions in explicit dynamics
Requirements:
No specific tools or equipment required. Students are invited to reproduce examples using their preferred simulation software.
Vector and tensor algebra. Calculus and differential equations.
Good familiarity with strength of materials and material properties.
Good understanding of computer simulation and finite element analysis.
Description:
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.
Who this course is for:
Simulation engineers and analysts interested in short-duration dynamic events and extreme loading conditions.
Those aiming at simulation positions within the Aerospace, Defence, Automotive (safety & occupant protection), Sports, Medical devices and many other industries.
Engineering students who have already been exposed to the finite element method and want to take their skills to the next level.
Homepage

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