Element Formulation in Explicit Dynamics - Lesson 3

Explicit dynamic analysis often handles complex problems that occur in short time with high nonlinearity. So the question naturally arises: what is the best element type to be used for such an analysis? In this video, we discuss the pros and cons of different element types that are available. We begin by discussing various concepts such as linear and nonlinear shape functions, full integration and reduced integration. Following this, we talk about some unwanted behaviors that certain elements may display in certain circumstances, such as hourglass behavior, shear locking and volumetric locking. Finally, we discuss ways to resolve these behaviors in order to obtain accurate solutions.

00:00 - Intro
01:20 - Intro to Hexahedral elements
01:48 - Linear and nonlinear shape functions
03:00 - Integration points and Gaussian integration
04:05 - Reduced integration
05:18 - Hourglass behavior
06:46 - Resolving hourglass behavior
08:49 - Shear locking
10:25 - Resolving shear locking
11:25 - Volumetric locking
13:03 - Resolving volumetric locking
13:29 - Intro to Tetrahedral elements
14:04 - Disadvantages of Tetrahedral elements
15:57 - Summary

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