A Closed-form Solution to Finite Bending of a Compressible Elastic-perfectly Plastic Rectangular Block
Keywords:
Finite bending, Closed form solution, Elasto plastic model, Finite deformation, Compressible deformation, Elastic plastic interface
Abstract
The self-consistent Eulerian rate-type elastoplastic model based on the logarithmic rate is used to study finite bending of a compressible elastic-perfectly plastic rectangular block. It is found that an explicit closed-form solution for this typical inhomogeneous finite deformation , mode may be available in a general case of compressible deformation with a stretch normal to the bending plane, where the maximum circumferential stretch at the outer surface serves as an Independent parameter. Expressions are given for the bending angle, the bending moment, the the outer and the inner radii, and the radii of the two moving elastic-plastic interfaces, etc. The exact stress distribution on any circumferential cross-section of the deformed block is accordingly determined.
Published
2003-01-01
How to Cite
Xiao, H., Bruhns, O., & Meyers, A. (2003). A Closed-form Solution to Finite Bending of a Compressible Elastic-perfectly Plastic Rectangular Block. Defence Science Journal, 53(1), 25-39. https://doi.org/10.14429/dsj.53.2126
Section
Special Issue Papers
Copyright (c) 2016 Defence Science Journal
Where otherwise noted, the Articles on this site are licensed under Creative Commons License: CC Attribution-Noncommercial-No Derivative Works 2.5 India