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

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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)


Section 6.6.1


Problems 6.22-6.24

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  • English - US (SRT)