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Elastic-Plastic Torque Analysis of Notched Cross-Section Bars Using the Finite Difference Method

Journal Key Engineering Materials (Volumes 385 - 387)
Volume Advances in Fracture and Damage Mechanics VII
Edited by H.S. Lee, I.S. Yoon and M.H. Aliabadi
Pages 869-872
DOI 10.4028/www.scientific.net/KEM.385-387.869
Citation Hui Peng Liu et al., 2008, Key Engineering Materials, 385-387, 869
Online since July, 2008
Authors Hui Peng Liu, Xiang Rong Fu, Song Cen, Xiu Gen Jiang, Jin San Ju, Wen Jie Wang
Keywords Elastic-Plastic Torque, Finite Difference Method (FDM), Fracture Mechanic, Notched Cross-Section Bar, Sand Heap Analogy Method, Stress Singularity
Abstract

A new strategy of finite differences method is proposed for analysis of notched cross-section bars under elastic-plastic torsion. Relation curves of the elastic-plastic torque responding with different positions, angles and lengths of the notches in one section are obtained by numerical tests. It can be seen that these relation curves exhibit obvious nonlinearity. Meanwhile, the stress intensity factors can also be easily calculated by utilizing the results of above finite differences method. It provides an effective way for solving such elastic-plastic fracture mechanics problem.

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