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

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