Stochastic Methods for Systems with Uncertain Properties under Plane Stress/Strain

Author(s):  
C. G. Bucher ◽  
W. A. Wall
1976 ◽  
Vol 98 (4) ◽  
pp. 289-295 ◽  
Author(s):  
C. F. Shih ◽  
J. W. Hutchinson

Fully plastic plane stress solutions are given for a center-cracked strip in tension and an edge-cracked strip in pure bending. In the fully plastic formulation the material is characterized by a pure power hardening stress-strain relation which reduces at one limit to linear elasticity and at the other to rigid/perfect plasticity. Simple formulas are given for estimating the J-integral, the load-point displacement and the crack opening displacement in terms of the applied load for strain hardening materials characterized by the Ramberg-Osgood stress-strain relation in tension. The formulas make use of the linear elastic solution and the fully plastic solution to interpolate over the entire range of small and large scale yielding. The accuracy of the formulas is assessed using finite element calculations for some specific configurations.


1966 ◽  
Vol 17 (1) ◽  
pp. 83-104 ◽  
Author(s):  
G. G. Pope

SummaryA procedure is developed for the analysis of plane stress problems when yielding occurs locally. The region is divided into triangular elements and the deformation is analysed on a step-by-step basis, using the matrix notation developed by Argyris. The simple expressions which are derived for the element properties are applicable with any stress-strain relations which are stable and time-independent. Simple numerical examples are given.


2007 ◽  
Vol 24-25 ◽  
pp. 39-44 ◽  
Author(s):  
Gui Cheng Wang ◽  
Chun Gen Shen ◽  
Hong Jie Pei ◽  
Yun Ming Zhu ◽  
Qin Feng Li ◽  
...  

Based on the orthogonal cutting experiments, the two side direction burrs in metal cutting were studied. In this study, the cutting model of two side direction burr formation and translation is established with plane stress-strain theory. The main laws of formation and change of burr in size and type in orthogonal cutting are revealed, and it is confirmed by experiment results, which first realizes control of the forming and change of the two side direction burr in metal cutting operation.


1970 ◽  
Vol 2 (1) ◽  
pp. 19-35 ◽  
Author(s):  
D.P. Isherwood ◽  
J.G. Williams

1994 ◽  
Vol 120 (9) ◽  
pp. 1963-1982 ◽  
Author(s):  
Friedrich J. Wall ◽  
George Deodatis

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