engleski

On Numerical Modeling of Elastoplastic Responses of Shell Structures

Efficient numerical algorithms for modeling of elastoplastic responses of shell structures are proposed. Both small strain and large strain formulations are presented. The small strain formulation employs a realistic highly nonlinear and temperature dependent hardening model, while an isothermal free energy-based formulation incorporating isotropic and kinematic hardening is applied for the large strain analysis. An associative flow rule and von Mises yield criterion are employed. In order to ensure a high convergence rate in the global iteration approach, algorithmic tangent moduli are derived for both formulations. Numerical example demonstrates robustness and efficiency of the proposed algorithms.

small strain; large strain; multiplicative inelasticity; exponential map; additive decomposition

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