A hybrid micro-macro BEM with micro-scale inclusion-crack interactions

Z. Q. Jiang*, A. Chandra, Y. Huang

*Corresponding author for this work

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Local analysis schemes capable of detailed representations of micro-features of a problem are integrated with a macro-scale BEM technique capable of handling finite geometries and realistic boundary conditions. This paper focuses on micro-scale interactions among cracks and inclusions as well as their ramifications on macro-scale damage evaluations. The micro-scale effects are introduced into the macro-scale BEM computations through an augmented fundamental solution obtained from an integral equation representation of the micro-scale features. The proposed hybrid micro-macro BEM formulation allows complete decomposition of the real problem into two sub-problems, one residing entirely at the micro-level while the other resides at the macro-level. This allows for investigations of the micro-structural attributes while retaining the macro-scale geometric features and actual boundary conditions for the structural component under consideration. As a first attempt, dilute inclusion densities with strong inclusion-crack and crack-crack interactions are considered. The numerical results obtained from the hybrid BEM analysis establish the accuracy and effectiveness of the proposed micro-macro computational scheme for this class of problems. The proposed micro-macro BEM formulation can be easily extended to investigate the effects of other micro-features (e.g., interfaces, short or continuous fibers, in the context of linear elasticity) on macro-scale failure modes observed in structural components.

Original languageEnglish (US)
Pages (from-to)2309-2329
Number of pages21
JournalInternational Journal of Solids and Structures
Volume33
Issue number16
DOIs
StatePublished - Jan 1 1996

Fingerprint

Macros
Crack
cracks
Inclusion
inclusions
Cracks
Interaction
interactions
Boundary conditions
Finite Geometry
Scale Effect
Formulation
Linear Elasticity
Ramification
Failure Mode
Fundamental Solution
boundary conditions
formulations
scale effect
Integral Equations

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

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abstract = "Local analysis schemes capable of detailed representations of micro-features of a problem are integrated with a macro-scale BEM technique capable of handling finite geometries and realistic boundary conditions. This paper focuses on micro-scale interactions among cracks and inclusions as well as their ramifications on macro-scale damage evaluations. The micro-scale effects are introduced into the macro-scale BEM computations through an augmented fundamental solution obtained from an integral equation representation of the micro-scale features. The proposed hybrid micro-macro BEM formulation allows complete decomposition of the real problem into two sub-problems, one residing entirely at the micro-level while the other resides at the macro-level. This allows for investigations of the micro-structural attributes while retaining the macro-scale geometric features and actual boundary conditions for the structural component under consideration. As a first attempt, dilute inclusion densities with strong inclusion-crack and crack-crack interactions are considered. The numerical results obtained from the hybrid BEM analysis establish the accuracy and effectiveness of the proposed micro-macro computational scheme for this class of problems. The proposed micro-macro BEM formulation can be easily extended to investigate the effects of other micro-features (e.g., interfaces, short or continuous fibers, in the context of linear elasticity) on macro-scale failure modes observed in structural components.",
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A hybrid micro-macro BEM with micro-scale inclusion-crack interactions. / Jiang, Z. Q.; Chandra, A.; Huang, Y.

In: International Journal of Solids and Structures, Vol. 33, No. 16, 01.01.1996, p. 2309-2329.

Research output: Contribution to journalArticle

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