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A large deformation isogeometric continuum shell formulation incorporating finite strain elastoplasticity

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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 \(J_2\) 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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Acknowledgements

This work is supported by the U.S. Naval Air Systems Command (NAVAIR) under Grant No. N68335-20-C-0899. This support is gratefully acknowledged.

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Authors and Affiliations

  1. Global Engineering and Materials, Inc., Princeton, NJ, 08540, USA

    Ning Liu & Jim Lua

  2. Department of Mechanical Engineering, Iowa State University, Ames, IA, 50011, USA

    Ming-Chen Hsu

  3. Structures Division, Naval Air Systems Command (NAVAIR), Patuxent River, MD, 20670, USA

    Nam Phan

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  1. Ning Liu
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Liu, N., Hsu, MC., Lua, J. et al. A large deformation isogeometric continuum shell formulation incorporating finite strain elastoplasticity. Comput Mech 70, 965–976 (2022). https://doi.org/10.1007/s00466-022-02193-8

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