Lecture 15: Elastic Constitutive Relations in T. L. Formulation

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Topics: Use of elastic constitutive relations in total Lagrangian formulation

  • Basic considerations in modeling material response
  • Linear and nonlinear elasticity
  • Isotropic and orthotropic materials
  • One-dimensional example, large strain conditions
  • The case of large displacement/small strain analysis, discussion of effectiveness using the total Lagrangian formulation
  • Hyperelastic material model (Mooney-Rivlin) for analysis of rubber-type materials
  • Example analysis: Solution of a rubber tensile test specimen
  • Example analysis: Solution of a rubber sheet with a hole

Instructor: Klaus-Jürgen Bathe

Related Resources

Study Guide (PDF)

Readings

Sections 6.6.1, 6.6.2

Examples

Problems 6.22-6.25

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  • English - US (SRT)