Vol. 3, No. 3, 2008

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On large deformation generalized plasticity

Vassilis P. Panoskaltsis, Lazaros C. Polymenakos and Dimitris Soldatos

Vol. 3 (2008), No. 3, 441–457

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.

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
Received: 30 September 2006
Accepted: 25 October 2007
Published: 1 May 2008
Vassilis P. Panoskaltsis
Department of Civil Engineering
Case Western Reserve University
Cleveland, OH
United States
Lazaros C. Polymenakos
Autonomic & Grid Computing
Athens Information Technology
Peania 19002
Dimitris Soldatos
Department of Civil Engineering
Case Western Reserve University
Cleveland, OH
United States