An Alternative Approach to Analysis of Plane-Strain Pure Bending at Large Strains-Reference-Cited by-同舟云学术

An Alternative Approach to Analysis of Plane-Strain Pure Bending at Large Strains

Published:2006-06-26 Issue:5 Volume:41 Page:397-410
ISSN:0309-3247
Container-title:The Journal of Strain Analysis for Engineering Design
language:en
Short-container-title:The Journal of Strain Analysis for Engineering Design

Author:

Alexandrov S¹,Hoon Kim Ji²,Chung Kwansoo,Jin Kang Tae²

Affiliation:

1. Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

2. School of Materials Science and Engineering, Seoul National University, Seoul, Republic of Korea

Abstract

A uniform analysis of plane-strain bending for different rigid/plastic and elastic/plastic constitutive laws is performed. In most cases numerical treatment is reduced to solving an ordinary differential equation. The solutions obtained either coincide with known exact solutions or show the same tendencies as known approximate solutions. In addition, new solutions are obtained, including an elastic/plastic solution at large strains. The through-thickness distribution of the principal stresses and the variation in the bending moment as well as the thickness of the layer with a time-like parameter are illustrated.

Publisher

SAGE Publications

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials,Modelling and Simulation

Link

http://journals.sagepub.com/doi/pdf/10.1243/03093247JSA154

Reference9 articles.

1. Plastic Bending of Work Hardening Materials

2. The pure plastic bending of laminated sheet metals

3. Effect of constitutive laws on plane strain ideal flow design: an analytical example

4. A Continuous Damage Mechanics Model for Ductile Fracture

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