Return-Mapping and Consistent Tangent Modulus Tensor

2014 ◽  
pp. 379-420
Author(s):  
Koichi Hashiguchi
Keyword(s):  
Tangent Modulus ◽  
Return Mapping

Tensor Presentation of Algorithmic Tangent Modulus for Plastic-Damage Models

2010 ◽  
Vol 29-32 ◽  
pp. 1747-1752
Author(s):  
Ji Zhang ◽  
Zhong Xian Zhang ◽  
Cai Ping Huang
Keyword(s):  
Stress Tensor ◽  
Effective Stress ◽  
Tangent Modulus ◽  
Mapping Algorithm ◽  
Damage Models ◽  
Return Mapping ◽  
Return Mapping Algorithm ◽  
Plastic Damage ◽  
Stress Components ◽  
Tensor Formulation

For a class of plastic-damage models, spectral return-mapping algorithm performed upon the principal effective stresses is efficient, while algorithmic tangent modulus formulated upon the general effective stress components is much simpler. In order to facilitate the transformation between these two sets of stress components in the formulation of algorithmic tangent modulus, a new concept of fictitious stress tensor, which is orthogonally similar to the real stress tensor, is proposed in this paper. The rank four Jacobian tensor of the fictitious effective stress is calculated from spectral decomposition; and a clear tensor formulation of algorithmic tangent modulus is presented.

scholarly journals A robust multisurface return-mapping algorithm and its implementation in Abaqus

2021 ◽  
Vol 190 ◽  
pp. 103531
Author(s):  
Sebastian Pech ◽  
Markus Lukacevic ◽  
Josef Füssl
Keyword(s):  
Mapping Algorithm ◽  
Return Mapping ◽  
Return Mapping Algorithm

scholarly journals Return mapping of phases and the analysis of the gravitational clustering hierarchy

2002 ◽  
Vol 337 (2) ◽  
pp. 488-494 ◽  
Author(s):  
Lung-Yih Chiang ◽  
Peter Coles ◽  
Pavel Naselsky
Keyword(s):  
Return Mapping ◽  
Gravitational Clustering
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