Title
A hybrid BEM formulation for multiple cracks in orthotropic elastic components
Document Type
Article
Publication Date
9-3-1995
Abstract
Local analysis schemes capable of detailed representations of micro-features (e.g. micro-crack interactions) of a problem are integrated with a macro-scale BEM technique capable of handling orthotropic elastic components with complex finite geometries and realistic boundary conditions. The micro-scale effects are introduced into the macro-scale BEM analysis through an augmented fundamental solution obtained from an integral equation representation of the micro-scale features. The proposed hybrid micro-macro BEM formulation allows decomposition of the complete problem into two sub-problems, one residing entirely at the micro-level and the other at the macro-level. This allows for investigations of the effects of the micro-structural attributes while retaining the macro-scale geometric features and actual boundary conditions for the component or structure under consideration. As a first attempt, elastic fracture mechanics problems with interacting cracks at close spacings are considered. The proposed micro-macro BEM formulation can easily be extended to investigate the effects of other micro-features (e.g. interfaces, short or continuous fiber reinforcements, voids, and inclusions, in the context of linear elasticity) on macroscopic failure modes observed in structural components. © 1995.
Publication Title
Computers and Structures
Recommended Citation
Chandra, A.,
Hu, K.,
&
Huang, Y.
(1995).
A hybrid BEM formulation for multiple cracks in orthotropic elastic components.
Computers and Structures,
56(5), 785-797.
http://doi.org/10.1016/0045-7949(95)00008-5
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/5553