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Damage modeling using Eshelby inclusions

International Journal of Fracture • 2021
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Publication Information
Authors M.A.Kamal; Ahmed Fady Farid; Youssef F. Rashed
Keywords Damage mechanics; Direct boundary integral method; Eigenstrain; Eshelby’s equivalent inclusion theory; nonlinear analysis.
Journal International Journal of Fracture
Publisher Springer
Volume 229
Issue 1
Pages 95-111
publication.type International
Paper Link Open Link
Supplementary Materials Not Available
Abstract
In this paper a new boundary-only based
damage modeling is presented. Despite the damage
occurred inside the problem domain, the solution procedure
requires boundary-only discretization of the
problem. A few additional points are located at damage
places. The Eshelby equivalent inclusion theory is coupled
with the direct boundary integral equation method
to predict the damage patterns. The relevantment like
damage stiffness matrix which is obtained directly in
a condensed form at degrees of freedom along the
problem boundary. A nonlinear incremental–iterative
solution procedure is implemented. Several numerical
examples are presented to demonstrate the validity of
the proposed technique.