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Fish, Jacob; Shek, Kamlun

Finite deformation plasticity based on the additive split of the rate of deformation and hyperelasticity. (English) Zbl 1007.74023

Comput. Methods Appl. Mech. Eng. 190, No. 1-2, 75-93 (2000).
Summary: We present finite deformation plasticity formulation based on additive split of rate of deformation and hyperelasticity. This approach is valid for finite elastic and plastic strains, while rendering the choice and numerical integration of objective stress rates superfluous as the results are automatically objective. For small elastic strains, our method reduces to classical hypoelastic-corotational formulation provided that Dienes objective stress rate is employed, while in the absence of inelastic deformation it coincides with hyperelastic formulation. The validity of the model is examined on four test problems, and numerical results are found to be in good agreement with either exact solutions or experimental data.

Cited in 5 Documents

MSC:

74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)

Keywords:

finite deformation plasticity; additive split; rate of deformation; hyperelasticity; Dienes objective stress

Software:

ABAQUS
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Full Text: DOI

References:

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