Sensitivity Analysis of Nonlinear Fem

by Toshiaki Hisada, Univ of Tokyo, Japan,

Document Type: Proceeding Paper

Part of: Probabilistic Methods in Civil Engineering


A method of sensitivity analysis is developed for nonlinear structural systems which are governed by incremental finite element equations. The formulation originates in the perturbation method and retains its advantage. Namely a nonlinear finite element analysis needs to be done only once; based on which the sensitivities are evaluated. The proposed formulation can cope with a wider class of nonlinear problems such as load path dependent problems. An elasto-plastic problem including unloading is solved to demonstrate the potential.

Subject Headings: Sensitivity analysis | Finite element method | Nonlinear analysis | Nonlinear finite element analysis | Structural systems | Nonlinear response | Structural analysis | Load factors

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