A nonstandard approach to the micromodelling of large deformations in incompressible elastic-plastic composites

1989 ◽  
Vol 59 (1) ◽  
pp. 68-77
Author(s):  
M. Wagrowska
Keyword(s):  
Large Deformations ◽  
Elastic Plastic ◽  
Plastic Composites ◽  
Nonstandard Approach

scholarly journals A Solution of Rigid Perfectly Plastic Cylindrical Indentation in Plane Strain and Comparison to Elastic-Plastic Finite Element Predictions With Hardening

2017 ◽  
Vol 85 (2) ◽  
Author(s):  
Robert L. Jackson
Keyword(s):  
Plastic Deformation ◽  
Finite Element ◽  
Large Deformations ◽  
Contact Radius ◽  
Flat Surfaces ◽  
Elastic Plastic ◽  
Perfectly Plastic ◽  
Effective Yield ◽  
Line Theory ◽  
Steel Properties

The indentation of flat surfaces deforming in the plastic regime by various geometries has been well studied. However, there is relatively little work investigating cylinders indenting plastically deforming surfaces. This work presents a simple solution to a cylindrical rigid frictionless punch indenting a half-space considering only perfectly plastic deformation. This is achieved using an adjusted slip line theory. In addition, volume conservation, pileup and sink-in are neglected, but the model can be corrected to account for it. The results agree very well with elastic-plastic finite element predictions for an example using typical steel properties. The agreement does diminish for very large deformations but is still within 5% at a contact radius to cylinder radius ratio of 0.78. A method to account for strain hardening is also proposed by using an effective yield strength.

scholarly journals Computational homogenization of elastic–plastic composites

2013 ◽  
Vol 50 (18) ◽  
pp. 2829-2835 ◽  
Author(s):  
Y.K. Khdir ◽  
T. Kanit ◽  
F. Zaïri ◽  
M. Naït-Abdelaziz
Keyword(s):  
Computational Homogenization ◽  
Elastic Plastic ◽  
Plastic Composites

Nonlinear Plastic Modeling of Materials Based on the Generalized Strain Rate Tensor

2008 ◽  
Author(s):  
Kamyar Ghavam ◽  
Reza Naghdabadi
Keyword(s):  
Strain Rate ◽  
Simple Shear ◽  
Large Deformations ◽  
Kinematic Hardening ◽  
Flow Rule ◽  
Strain Rate Tensor ◽  
Governing Equations ◽  
Elastic Plastic ◽  
Shear Problem ◽  
Plastic Hardening

In this paper, a method for modeling of elastic-plastic hardening materials under large deformations is proposed. In this model the generalized strain rate tensor is used. Such a tensor is obtained on the basis of the method which was introduced by the authors. Based on the generalized strain rate tensor, a flow rule, a Prager-type kinematic hardening equation and a kinematic decomposition is proposed and the governing equations for such materials are obtained. As an application, the governing equations for the simple shear problem are solved and some results are compared with those in the literature.

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