Lecture 16: Elastic Constitutive Relations in U. L. Formulation

{'English - US': '/resources/res-2-002-finite-element-procedures-for-solids-and-structures-spring-2010/nonlinear/lecture-16/ieV1yZ1l7-c.srt'}

Flash and JavaScript are required for this feature.

Download the video from iTunes U or the Internet Archive.

Topics: Use of elastic constitutive relations in updated Lagrangian formulation

  • Use of updated Lagrangian (U.L.) formulation
  • Detailed comparison of expressions used in total Lagrangian (T.L.) and U.L. formulations; strains, stresses, and constitutive relations
  • Study of conditions to obtain in a general incremental analysis the same results as in the T.L. formulation, and vice versa
  • The special case of elasticity
  • The Almansi strain tensor
  • One-dimensional example involving large strains
  • Analysis of large displacement/small strain problems
  • Example analysis: Large displacement solution of frame using updated and total Lagrangian formulations

Instructor: Klaus-Jürgen Bathe

Related Resources

Study Guide (PDF)

Readings

Section 6.6.1

Examples

Problems 6.22-6.24

Free Downloads

Video


Subtitle

  • English - US (SRT)