Developing a theory of perfect plasticity

1980 ◽  
Vol 12 (11) ◽  
pp. 1394-1402
Author(s):  
V. I. Levitas
Keyword(s):  
Perfect Plasticity

Comparative study of the effective parameters on residual stress relaxation in welded aluminum plates under cyclic loading

2020 ◽  
Vol 21 (5) ◽  
pp. 505
Author(s):  
Yousef Ghaderi Dehkordi ◽  
Ali Pourkamali Anaraki ◽  
Amir Reza Shahani
Keyword(s):  
Residual Stress ◽  
Cyclic Loading ◽  
Stress Relaxation ◽  
Stress Amplitude ◽  
Cyclic Plasticity ◽  
Mean Stress ◽  
Effective Parameters ◽  
Perfect Plasticity ◽  
Residual Stress Relaxation ◽  
Aluminum Plates

The prediction of residual stress relaxation is essential to assess the safety of welded components. This paper aims to study the influence of various effective parameters on residual stress relaxation under cyclic loading. In this regard, a 3D finite element modeling is performed to determine the residual stress in welded aluminum plates. The accuracy of this analysis is verified through experiment. To study the plasticity effect on stress relaxation, two plasticity models are implemented: perfect plasticity and combined isotropic-kinematic hardening. Hence, cyclic plasticity characterization of the material is specified by low cycle fatigue tests. It is found that the perfect plasticity leads to greater stress relaxation. In order to propose an accurate model to compute the residual stress relaxation, the Taguchi L18 array with four 3-level factors and one 6-level is employed. Using statistical analysis, the order of factors based on their effect on stress relaxation is determined as mean stress, stress amplitude, initial residual stress, and number of cycles. In addition, the stress relaxation increases with an increase in mean stress and stress amplitude.

scholarly journals Scaling of interfaces in brittle fracture and perfect plasticity

2000 ◽  
Vol 61 (6) ◽  
pp. 6312-6319 ◽  
Author(s):  
Eira T. Seppälä ◽  
Vilho I. Räisänen ◽  
Mikko J. Alava
Keyword(s):  
Brittle Fracture ◽  
Perfect Plasticity

Rigid-perfectly-plastic materials. Two extremal principles

2020 ◽  
pp. 460-482
Author(s):  
Lallit Anand ◽  
Sanjay Govindjee
Keyword(s):  
Lower Bound ◽  
Variational Principles ◽  
Structural Collapse ◽  
Perfect Plasticity ◽  
Perfectly Plastic ◽  
Plastic Materials ◽  
Extremal Principles

This chapter introduces the notion of rigid-perfect plasticity, and provides proofs of the extremum principles of applied loads and velocities. The variational principles are applied to generate the upper- and lower-bound theorems for collapse loads in rigid-perfect plasticity models. The method of sliding rigid blocks is presented for the solution of practical problems in forming operations and structural collapse. To facilitate such modelling the hodograph graphical device is also discussed.

scholarly journals Implementation of the perfect plasticity approximation with biogeochemical compartments in R

Ecography ◽  
2020 ◽  
Vol 43 (5) ◽  
pp. 682-688
Author(s):  
Adam Erickson ◽  
Nikolay Strigul
Keyword(s):  
Perfect Plasticity
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