A large deformation isogeometric continuum shell formulation incorporating finite strain elastoplasticity

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2022-06-11
Authors
Liu, Ning
Lua, Jim
Phan, Nam
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Springer-Verlag GmbH Germany
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Mechanical Engineering
Abstract
An isogeometric large-deformation continuum shell formulation incorporating finite strain elastoplasticity is presented in this work. The proposed method is based on the multiplicative decomposition of the deformation gradient into the elastic and plastic contributions in a total Lagrangian framework. The standard return mapping algorithm with the backward Euler time integration technique is adopted to solve the 3D elastoplastic constitutive equations. The classical J2 von Mises plasticity model with isotropic hardening is implemented to describe the nonlinear material behavior. The results of several benchmark studies are illustrated to showcase the computational accuracy and solution robustness of the proposed formulation.
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This article is published as Liu, Ning, Ming-Chen Hsu, Jim Lua, and Nam Phan. "A large deformation isogeometric continuum shell formulation incorporating finite strain elastoplasticity." Computational Mechanics 70, no. 5 (2022): 965-976. DOI: 10.1007/s00466-022-02193-8. Works produced by employees of the U.S. Government as part of their official duties are not copyrighted within the U.S. The content of this document is not copyrighted.
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