A hybrid BEM formulation for multiple cracks in orthotropic elastic components

A. Chandra*, K. X. Hu, Y. Huang

*Corresponding author for this work

Research output: Contribution to journalArticle

9 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)785-797
Number of pages13
JournalComputers and Structures
Volume56
Issue number5
DOIs
StatePublished - Sep 3 1995

Fingerprint

Macros
Crack
Cracks
Formulation
Boundary conditions
Finite Geometry
Scale Effect
Microcracks
Fracture Mechanics
Linear Elasticity
Failure Mode
Complex Geometry
Reinforcement
Voids
Fundamental Solution
Spacing
Integral Equations
Inclusion
Attribute
Fiber

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modeling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

Cite this

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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.",
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A hybrid BEM formulation for multiple cracks in orthotropic elastic components. / Chandra, A.; Hu, K. X.; Huang, Y.

In: Computers and Structures, Vol. 56, No. 5, 03.09.1995, p. 785-797.

Research output: Contribution to journalArticle

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