A SHAPE DESIGN SENSITIVITY APPROACH FOR 2-DIMENSIONAL MIXED-MODE FRACTURE-ANALYSIS UNDER GENERAL LOADING

Authors
Citation
Tw. Lee et Ir. Grosse, A SHAPE DESIGN SENSITIVITY APPROACH FOR 2-DIMENSIONAL MIXED-MODE FRACTURE-ANALYSIS UNDER GENERAL LOADING, Journal of applied mechanics, 62(4), 1995, pp. 952-958
Citations number
28
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanics
Journal title
ISSN journal
0021-8936
Volume
62
Issue
4
Year of publication
1995
Pages
952 - 958
Database
ISI
SICI code
0021-8936(1995)62:4<952:ASDSAF>2.0.ZU;2-Y
Abstract
Under general loadings including body forces and crack-face traction, the energy release rate equation for a two-dimensional cracked body is derived by a shape design sensitivity approach. Defining the virtual crack extension (VCE) as the variation of the geometry, the virtual wo rk principle and the material derivative concept are used to obtain th e final analytical equation for the energy release rate. In contrast t o the results of other researchers, the functionals which appear in th e derived energy release rate equation do not involve the derivative o f the displacement field on the crack surface, thereby improving the n umerical accuracy in the computation of the energy release rate. Altho ugh the finite element method (FEM) is applied to crack problems in th is paper, any numerical analysis method can be applied to the resultin g equation. In addition, if body forces and crack-face traction are co nstant with respect to VCE, i.e., their material derivatives are ident ically zero, then the energy release rate equation is domain independe nt for domains which exclude the crack-tip region. Three example probl ems are treated which demonstrate the generality accuracy, and domain- independent nature of the derived energy release rate equation.