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