Modeling of voids/cracks and their interactions

Yang, Chunhui and Soh, A. 2002, Modeling of voids/cracks and their interactions, Theoretical and applied fracture mechanics, vol. 38, no. 1, pp. 81-101, doi: 10.1016/S0167-8442(02)00083-6.

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Title Modeling of voids/cracks and their interactions
Author(s) Yang, Chunhui
Soh, A.
Journal name Theoretical and applied fracture mechanics
Volume number 38
Issue number 1
Start page 81
End page 101
Publisher Elsevier Science Publishers B.V.
Place of publication Amsterdam, Netherlands
Publication date 2002-07
ISSN 0167-8442
Keyword(s) circular/elliptical hole
semi-analytic element
hybrid element
complex potentials
conformal mapping
Summary Numerical modeling of a two-dimensional elastic body containing multiple voids/cracks to study the interaction between these defects can be  significantly simplified by developing special finite elements, each containing an internal circular/elliptic hole or a slit crack. These finite elements are developed using complex potentials and the conformal mapping technique. The elements developed can be divided into two categories, namely, the semi-analytic-type and hybrid-type elements. The latter element type is an improved version of the former due to the implementation of displacement continuity along the inter-element boundary. All the proposed elements can be easily combined with the conventional displacement elements, such as isoparametric elements, to analyze the above-mentioned problems without using complicated finite element meshes. Numerical examples have been employed to illustrate the modeling of voids/cracks and their interactions. The results obtained using the semi-analytic-type elements are in good agreement with the theoretical results, and the corresponding results obtained using the hybrid-type elements show an improvement of the agreement with the theoretical results. However, the former element type is much easier to construct.
Language eng
DOI 10.1016/S0167-8442(02)00083-6
Field of Research 090506 Structural Engineering
HERDC Research category C1.1 Refereed article in a scholarly journal
Copyright notice ©2002, Elsevier Science Ltd.
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