scholarly journals Transient Network at Large Deformations: Elastic–Plastic Transition and Necking Instability

Polymers ◽  
2016 ◽  
Vol 8 (4) ◽  
pp. 108 ◽  
Author(s):  
Fanlong Meng ◽  
Eugene Terentjev
2017 ◽  
Vol 85 (2) ◽  
Author(s):  
Robert L. Jackson

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.


Author(s):  
Kamyar Ghavam ◽  
Reza Naghdabadi

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.


2014 ◽  
Vol 566 ◽  
pp. 493-498 ◽  
Author(s):  
Marina Chernobryvko ◽  
Leopold Kruszka ◽  
Yuorii Vorobiev

The tasks of dynamic behavior of constructions’ elements under the impulsive loadings modeling are examined. Mathematical models are taken into account to calculate thermo-elastic-plastic deformations, dynamic properties of materials, large deformations and strains. Numerical calculations of the dynamic stress-strain state for steel constructions are conducted for a local impulsive loading.


1971 ◽  
Vol 38 (2) ◽  
pp. 429-436 ◽  
Author(s):  
L. Morino ◽  
J. W. Leech ◽  
E. A. Witmer

Based upon the theoretical formulation presented in Part 1 of this paper, improvements in accuracy and computational efficiency are realized. Comparisons of predictions with experimental transient large deformations and strains show good agreement.


2021 ◽  
pp. 276-276
Author(s):  
Samir Danouni ◽  
Abd Zamree ◽  
El-Hadj Abdellah ◽  
Saad Mat

This study presents the development of a thermo-mechanical simulation model for an elastic-plastic contact problem between a half cylinder and a plane plate. The set of equations was solved using direct coupling method by Ansys mechanical. The results obtained from the present numerical model of the structural contact without heat transfer are compared with those of analytical, experimental and other numerical models. Then, the contact problem was solved using a coupled thermo-mechanical model. Computational results showed significant effects of thermal consideration in the elastic-plastic contact problem. Large deformations of structure due to high temperature are predicted using the thermo-mechanical model with elastic-plastic deformations. This model is useful to predict deformations on the structural components due to contact at high temperature situation.


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