UNSPECIFIED. (2004) A simple and efficient numerical method for determination of deformations and stresses in rotating solid shafts with non-linear strain-hardening. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 20 (9). pp. 689-697. ISSN 1069-8299

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Abstract

A simple and efficient numerical method is proposed to investigate deformations and stresses in elastic-plastic rotating solid shafts. Using the assumption of plane strain, the governing equation is derived from the geometric relation, equilibrium equation, deformation theory, von Mises' yield criterion and non-linear stress-plastic strain relationship. By making use of the information of the second and third derivatives of the radial stress with respect to the radial co-ordinate and introducing a truncated Taylor's expansion, an iterative algorithm is presented which can solve elastic-plastic problems of rotating solid shafts quickly and effectively. Two numerical examples are given to demonstrate accuracy, efficiency and capacity of the proposed method in both fully elastic and non-linear strain-hardening elastic-plastic analyses of rotating solid shafts. Excellent agreement is found between this method and finite element approach. Copyright (C) 2004 John Wiley Sons, Ltd.

Item Type:	Journal Article
Subjects:	T Technology > TA Engineering (General). Civil engineering (General) Q Science > QA Mathematics
Journal or Publication Title:	COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
Publisher:	JOHN WILEY & SONS LTD
ISSN:	1069-8299
Date:	September 2004
Volume:	20
Number:	9
Number of Pages:	9
Page Range:	pp. 689-697
Identification Number:	10.1002/cnm.708
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/8060

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