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A simple and efficient numerical method for determination of deformations and stresses in rotating solid shafts with non-linear strain-hardening
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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. doi:10.1002/cnm.708 ISSN 1069-8299.
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Official URL: http://dx.doi.org/10.1002/cnm.708
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 | ||||
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Subjects: | T Technology > TA Engineering (General). Civil engineering (General) Q Science > QA Mathematics |
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Journal or Publication Title: | COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | ||||
Publisher: | JOHN WILEY & SONS LTD | ||||
ISSN: | 1069-8299 | ||||
Official Date: | September 2004 | ||||
Dates: |
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Volume: | 20 | ||||
Number: | 9 | ||||
Number of Pages: | 9 | ||||
Page Range: | pp. 689-697 | ||||
DOI: | 10.1002/cnm.708 | ||||
Publication Status: | Published |
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