Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Computation of stress intensity factors by the sub-region mixed finite element method of lines

Computation of stress intensity factors by the sub-region mixed finite element method of lines Abstract Based on the sub-region generalized variational principle, a sub-region mixed version of the newly-developed semi-analytical ‘finite element method of lines’ (FEMOL) is proposed in this paper for accurate and efficient computation of stress intensity factors (SIFs) of two-dimensional notches/cracks. The circular regions surrounding notch/crack tips are taken as the complementary energy region in which a number of leading terms of singular solutions for stresses are used, with the sought SIFs being among the unknown coefficients. The rest of the arbitrary domain is taken as the potential energy region in which FEMOL is applied to obtain approximate displacements. A mixed system of ordinary differential equations (ODEs) and algebraic equations is derived via the sub-region generalized variational principle. A singularity removal technique that eliminates the stress parameters from the mixed equation system eventually yields a standard FEMOL ODE system, the solution of which is no longer singular and is simply and efficiently obtained using a standard general-purpose ODE solver. A number of numerical examples, including bi-material notches/cracks in anti-plane and plane elasticity, are given to show the generally excellent performance of the proposed method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Solida Sinica" Springer Journals

Computation of stress intensity factors by the sub-region mixed finite element method of lines

Yuan, Si; Xu, Yongjun; Williams, F. W.
"Acta Mechanica Solida Sinica" , Volume 20 (2): 14 – Jun 1, 2007
Download PDF
14 pages

Loading next page...
 
/lp/springer-journals/computation-of-stress-intensity-factors-by-the-sub-region-mixed-finite-I9MvUHhzN4

References (26)

Publisher
Springer Journals
Copyright
2007 The Chinese Society of Theoretical and Applied Mechanics and Technology
ISSN
0894-9166
eISSN
1860-2134
DOI
10.1007/s10338-007-0718-9
Publisher site
See Article on Publisher Site

Abstract

Abstract Based on the sub-region generalized variational principle, a sub-region mixed version of the newly-developed semi-analytical ‘finite element method of lines’ (FEMOL) is proposed in this paper for accurate and efficient computation of stress intensity factors (SIFs) of two-dimensional notches/cracks. The circular regions surrounding notch/crack tips are taken as the complementary energy region in which a number of leading terms of singular solutions for stresses are used, with the sought SIFs being among the unknown coefficients. The rest of the arbitrary domain is taken as the potential energy region in which FEMOL is applied to obtain approximate displacements. A mixed system of ordinary differential equations (ODEs) and algebraic equations is derived via the sub-region generalized variational principle. A singularity removal technique that eliminates the stress parameters from the mixed equation system eventually yields a standard FEMOL ODE system, the solution of which is no longer singular and is simply and efficiently obtained using a standard general-purpose ODE solver. A number of numerical examples, including bi-material notches/cracks in anti-plane and plane elasticity, are given to show the generally excellent performance of the proposed method.

Journal

"Acta Mechanica Solida Sinica" – Springer Journals

Published: Jun 1, 2007

There are no references for this article.