A Finite Deformation Theory of Viscoplasticity Based on Overstress: Part II—Finite Element Implementation and Numerical Experiments
Keyword(s):
A one-step time integration method is developed for the finite deformation theory of viscoplasticity based on overstress (FVBO) described in Part I. This time integration method is based on a forward gradient approximation and it leads to explicit expressions of the tangent operators suitable for finite element implementation. Numerical experiments and closed-form solutions for a hypoelastic material in homogeneous deformation states are presented. The FVBO is applied to the modeling of second-order effects in torsion. The numerical results show that a modification of the Jaumann rate and second-order terms of the inelastic rate of deformation are necessary to model the observed effects.
2009 ◽
Vol 79
(5)
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pp. 550-575
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2021 ◽
Vol 2090
(1)
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pp. 012145
2020 ◽
Vol 65
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pp. 1219-1246
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2007 ◽
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pp. 117-118
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1997 ◽
Vol 63
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pp. 718-723
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2010 ◽
Vol 76
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pp. 1996-2005