Lecture 5: Updated Lagrangian Formulation - Incremental Analysis

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Topics: Updated Lagrangian formulation for incremental general nonlinear analysis Principle of virtual work in terms of 2nd Piola-Kirchhoff stresses and Green-Lagrange strains referred to the configuration at time t Incremental stress and strain decompositions in the updated Lagrangian form of the principle of virtual work Linear and nonlinear strain increments Consistent linearization of terms in the principle of virtual work The “out-of-balance” virtual work term Iterative equations for modified Newton-Raphson solution Flowchart of complete solution Comparison to total Lagrangian formulation Instructor: Klaus-Jürgen Bathe