A compact plane stress yield function formulation

2020 ◽  
Vol 28 (5) ◽  
pp. 055009
Author(s):  
Sai Hao ◽  
Xianghuai Dong
Keyword(s):  
Plane Stress ◽  
Yield Function ◽  
Function Formulation ◽  
Compact Plane

A Yield Function for Anisotropic Sheet Material Described by 3rd-Degree Spline Curve and its Applications

2016 ◽  
Vol 725 ◽  
pp. 653-658 ◽  
Author(s):  
Toshiro Aamaishi ◽  
Hideo Tsutamori ◽  
Eiji Iizuka ◽  
Kentaro Sato ◽  
Yuki Ogihara ◽  
...  
Keyword(s):  
Aluminum Alloy ◽  
Mild Steel ◽  
Plane Stress ◽  
Sheet Material ◽  
Yield Function ◽  
Sheet Metals ◽  
Anisotropic Behavior ◽  
Spline Curve ◽  
Series Aluminum Alloy

A new plane stress yield function using the 3rd-degree spline curve is proposed for the anisotropic behavior of sheet metals. This yield function considers the evolution of anisotropy in terms of both r values and stresses. In order to demonstrate the applicability of the proposed yield function, hole expanding tests with mild steel and 6000 series aluminum alloy sheets were simulated.

An Analytical Solution to Metal Plane Problem in Terms of Orthotropic Anisotropy and Strain Hardening

2010 ◽  
Vol 97-101 ◽  
pp. 348-356
Author(s):  
Yao He Liu ◽  
Guo Feng Yi ◽  
Jian Ming Xiong
Keyword(s):  
Stress State ◽  
Analytical Solution ◽  
Plane Stress ◽  
Yield Criterion ◽  
Research Result ◽  
Yield Condition ◽  
Plane Stress State ◽  
Yield Function ◽  
Anisotropic Parameter ◽  
Symmetric Plane

In this paper, the yield condition of Hill’s orthotropic yield criterion under axial symmetric plane stress state was discussed. The yield function of orthotropic material was proposed and the analytical solution to meet the condition of equations of equilibrium and compatibility under axial symmetric plane stress state is obtained, in which the conditions of power hardening materials was considered. The research result indicates that hardening coefficient and anisotropic parameter have substantial influence over stress and strain. However, in the presence of the coefficient R90=H/F，the influence appears to be quite weak.

scholarly journals Implicit yield function formulation for granular and rock-like materials

2014 ◽  
Vol 54 (5) ◽  
pp. 1163-1173 ◽  
Author(s):  
S. Stupkiewicz ◽  
R. Denzer ◽  
A. Piccolroaz ◽  
D. Bigoni
Keyword(s):  
Yield Function ◽  
Function Formulation

Finite Twisting and Expansion of a Hole in a Rigid/Plastic Plate

1963 ◽  
Vol 30 (4) ◽  
pp. 605-612 ◽  
Author(s):  
R. P. Nordgren ◽  
P. M. Naghdi
Keyword(s):  
Plane Stress ◽  
Work Hardening ◽  
Infinite Plate ◽  
Yield Function ◽  
The State ◽  
Numerical Results ◽  
Plastic Plate ◽  
Rigid Plastic ◽  
Combined Action ◽  
Concentric Circles

This paper is concerned with the finite twisting and expansion of an annular rigid/plastic plate in the state of plane stress. The plate, bounded by two concentric circles one of which may extend to infinity, is subjected in its plane to the combined action of pressure on the inner boundary and a couple due to circumferential shear. A detailed solution which includes the effect of isotropic work hardening is obtained with the use of Tresca’s yield function and its associated flow rules and the corresponding solution with the use of Mises’ yield function and its associated flow rules is also discussed. Numerical results are given which illustrate the influence of twisting on the expansion of a hole in an infinite plate.

scholarly journals Plane stress yield function described by 3rd-degree spline curve and its application

2016 ◽  
Vol 734 ◽  
pp. 032067
Author(s):  
Toshiro Aamaishi ◽  
Hideo Tsutamori ◽  
Eiji Iizuka ◽  
Kentaro Sato ◽  
Yuki Ogihara ◽  
...  
Keyword(s):  
Plane Stress ◽  
Yield Function ◽  
Spline Curve

scholarly journals Plane Stress Yield Function Described by 3rd-degree Spline Curves Considering Differential Work Hardening

2016 ◽  
Vol 57 (662) ◽  
pp. 245-251 ◽  
Author(s):  
Hideo TSUTAMORI ◽  
Eiji IIZUKA ◽  
Toshiro AMAISHI ◽  
Kentaro SATO ◽  
Yuki OGIHARA ◽  
...  
Keyword(s):  
Plane Stress ◽  
Work Hardening ◽  
Yield Function ◽  
Spline Curves

Plane stress yield function for aluminum alloy sheets—part 1: theory

2003 ◽  
Vol 19 (9) ◽  
pp. 1297-1319 ◽  
Author(s):  
F. Barlat ◽  
J.C. Brem ◽  
J.W. Yoon ◽  
K. Chung ◽  
R.E. Dick ◽  
...  
Keyword(s):  
Aluminum Alloy ◽  
Plane Stress ◽  
Yield Function

Yield Surface for Grey Cast Iron Under Biaxial Stress

1994 ◽  
Vol 116 (2) ◽  
pp. 148-154 ◽  
Author(s):  
H. E. Hjelm
Keyword(s):  
Cast Iron ◽  
Plane Stress ◽  
Yield Surface ◽  
Yield Curve ◽  
Yield Function ◽  
Grey Cast Iron ◽  
Biaxial Stress ◽  
Hardening Modulus ◽  
Grey Cast ◽  
Von Mises

Biaxial plane stress experiments have been performed on cruciform specimens made of graphite grey cast iron. Different ratios of tensile and compressive loads were applied in two perpendicular directions. The primary objective of this investigation is to determine the locus of the yield surface (yield curve) under plane stress, and to establish yield functions that could model the elastoplastic behavior of grey cast iron with reasonably good accuracy. The experiments show that a sufficiently accurate description is obtained by using the ordinary von Mises yield function in the compressive-compressive region, and elsewhere, the von Mises yield function modified with a term containing the first stress invariant. It was also found that for tensile loadings nonelastic deformations develop at low stress levels. Use of the above yield function must therefore be accompanied by a very large hardening modulus for tensile loads.

Sign in / Sign up

Export Citation Format

Share Document