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On large deformation
generalized plasticity
Vassilis P. Panoskaltsis, Lazaros C. Polymenakos and Dimitris Soldatos |
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Vol. 3 (2008), No. 3, 441–457
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Abstract |
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Large deformation generalized plasticity is presented in a covariant setting. For this purpose, the tensor analysis on manifolds is utilized and the manifold structure of the body as well of the ambient and the state space is postulated. On the basis of the multiplicative decomposition of the deformation gradient into elastic and plastic parts and the use of hyperelastic stress-strain relations, a large deformation elastoplasticity model is proposed. Computational aspects and the predictions of the model under uniaxial and biaxial straining are also presented. |
Keywords
large deformation plasticity, generalized plasticity,
tensor analysis on manifolds, covariant formulation, Lie
derivative, internal variables, metric of the elastically
relaxed space, loading-unloading conditions, time
integration algorithm, predictor-corrector algorithm
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Milestones
Received: 30 September 2006
Accepted: 25 October 2007
Published: 1 May 2008
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Authors |
| Vassilis P. Panoskaltsis | |
| Department of Civil
Engineering Case Western Reserve University Cleveland, OH 44106-7201 United States |
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| Lazaros C. Polymenakos | |
| Autonomic & Grid Computing Athens Information Technology Peania 19002 Greece |
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| Dimitris Soldatos | |
| Department of Civil
Engineering Case Western Reserve University Cleveland, OH 44106-7201 United States |
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