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

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