A two-dimensional ordinary state-based peridynamic model for plastic deformation based on Drucker-Prager criteria with non-associated flow rule

2021 ◽  
Vol 146 ◽  
pp. 104857
Author(s):  
Xiao-Ping Zhou ◽  
Ting Zhang ◽  
Qi-Hu Qian
Keyword(s):  
Plastic Deformation ◽  
Flow Rule ◽  
Two Dimensional ◽  
Peridynamic Model ◽  
Associated Flow Rule

A theoretical and experimental study of projectile impact on clamped circular plates

1968 ◽  
Vol 306 (1487) ◽  
pp. 435-447 ◽  
Keyword(s):  
Experimental Study ◽  
Plastic Deformation ◽  
Mild Steel ◽  
Yield Condition ◽  
Flow Rule ◽  
Plastic Strains ◽  
Circular Plates ◽  
Projectile Impact ◽  
Von Mises ◽  
Associated Flow Rule

A method for the analysis of the plastic deformation of a circular plate subject to projectile impact is presented based on the assumption that the material is rigid viscoplastic, obeying a von Mises yield condition and associated flow rule. The predictions of the analysis are com­pared with the results of experiments in which projectiles of different masses are fired at various velocities at clamped plates of mild steel. The plates used in the experiments are such that substantial plastic strains can develop, while the maximum displacements are of the same order as the thickness. The analytical method presented predicts the behaviour of the plates to within the accuracy of the tests. The material constants which fit the results are in accord with those obtained from different tests.

scholarly journals Plasticity and non-Schmid effects

2014 ◽  
Vol 470 (2161) ◽  
pp. 20130440 ◽  
Author(s):  
Stefan C. Soare
Keyword(s):  
Plastic Deformation ◽  
Yield Surface ◽  
Stress Gradient ◽  
Flow Rule ◽  
Slip Systems ◽  
Metal Plasticity ◽  
Overall Response ◽  
Associated Flow Rule

The structure of the overall response of a metal polycrystal is analysed under the assumption that activity on the slip systems of its constituents is governed by a generalized Schmid law. In the resulting macromodel of metal plasticity, the overall rate of plastic deformation is related to the stress gradient of the yield surface via a generalized, but still associated, flow rule. While the overall rate of plastic deformation is no longer collinear with the stress gradient of the yield surface, its deviation is characterized by an additional macrovariable, representative of the rate of the non-Schmid effects taking place at constituent level.

Gradient of Soil Constitutive Model

2010 ◽  
Vol 168-170 ◽  
pp. 1126-1129
Author(s):  
Wen Xu Ma ◽  
Ying Guang Fang
Keyword(s):  
Plastic Strain ◽  
Strain Gradient ◽  
Soil Analysis ◽  
Natural Material ◽  
Flow Rule ◽  
The Finite Element Method ◽  
Gradient Effect ◽  
Non Local ◽  
Associated Flow Rule ◽  
Plastic Strain Gradient

For the soil is a very complex natural material, significant strain gradient effect exist in soil analysis. Based on the "gradient" phenomenon, we add the plastic strain gradient hardening item into the traditional Cambridge yield surface. By using the consistency conditions and associated flow rule, we get the explicit expression of plastic strain gradient stiffness matrix. And the finite element method of plastic strain gradient is also shown in this article. Plastic strain gradient is actually a phenomenological non-local model containing microstructure information of the material. It may overcome the difficulties in simulating the gradient phenomenon by traditional mechanical model.

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