A general analytic solution for plane strain bending under tension for strain-hardening material at large strains

2011 ◽  
Vol 81 (12) ◽  
pp. 1935-1952 ◽  
Author(s):  
Sergei Alexandrov ◽  
Ken-ichi Manabe ◽  
Tsuyoshi Furushima
Keyword(s):  
Strain Hardening ◽  
Plane Strain ◽  
Analytic Solution ◽  
Large Strains ◽  
Hardening Material ◽  
Bending Under Tension

Steady-state plane-strain cold rolling of a strain-hardening material

1995 ◽  
Vol 52 (2-4) ◽  
pp. 338-358 ◽  
Author(s):  
R.S. Prakash ◽  
P.M. Dixit ◽  
G.K. Lal
Keyword(s):  
Steady State ◽  
Cold Rolling ◽  
Strain Hardening ◽  
Plane Strain ◽  
Hardening Material

scholarly journals An analytic solution for bending under tension of a two-layer strip of strain hardening materials

2019 ◽  
Vol 29 ◽  
pp. 536-543
Author(s):  
Sergei Alexandrov ◽  
Elena Lyamina ◽  
Moslemi Naeini
Keyword(s):  
Strain Hardening ◽  
Analytic Solution ◽  
Bending Under Tension

Plane-Strain Bending With Isotropic Strain Hardening at Large Strains

2010 ◽  
Vol 77 (6) ◽  
Author(s):  
Sergei Alexandrov ◽  
Yeong-Maw Hwang
Keyword(s):  
Strain Hardening ◽  
Plane Strain ◽  
Closed Form Solution ◽  
Bending Moment ◽  
Form Solution ◽  
Isotropic Hardening ◽  
Large Strains ◽  
Rigid Plastic ◽  
Elastic Plastic ◽  
Hardening Law

Finite deformation elastic-plastic analysis of plane-strain pure bending of a strain hardening sheet is presented. The general closed-form solution is proposed for an arbitrary isotropic hardening law assuming that the material is incompressible. Explicit relations are given for most popular conventional laws. The stage of unloading is included in the analysis to investigate the distribution of residual stresses and springback. The paper emphasizes the method of solution and the general qualitative features of elastic-plastic solutions rather than the study of the bending process for a specific material. In particular, it is shown that rigid-plastic solutions can be used to predict the bending moment at sufficiently large strains.

Ductile Tearing Instability of a Center-Cracked Panel of an Elastic-Plastic Strain Hardening Material

1981 ◽  
Vol 103 (1) ◽  
pp. 46-54 ◽  
Author(s):  
Akram Zahoor ◽  
Paul C. Paris
Keyword(s):  
Plastic Strain ◽  
Strain Hardening ◽  
Plane Strain ◽  
Plane Stress ◽  
Hardening Material ◽  
Ductile Tearing ◽  
Elastic Plastic ◽  
Linear Elastic ◽  
Tearing Instability ◽  
Crack Stability

An analysis for crack instability in an elastic-plastic strain hardening material is presented which utilizes the J-integral and the tearing modulus parameter, T. A center-cracked panel of finite dimensions with Ramberg-Osgood material representation is analyzed for plane stress as well as plane strain. The analysis is applicable in the entire range of elastic-plastic loading from linear elastic to full yield. Crack instability is strongly influenced by the elastic compliance of the system, the conditions of plane stress or plane strain, and the hardening characteristics of the material. Numerical results indicate that if crack stability is ensured in a plane strain situation, then under the same circumstances a geometrically identical but plane stress panel will be stable.

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