Modeling of voids/cracks and their interactions
Data(s) |
01/07/2002
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Resumo |
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.<br /> |
Identificador | |
Idioma(s) |
eng |
Publicador |
Elsevier Science Publishers B.V. |
Relação |
http://dro.deakin.edu.au/eserv/DU:30004402/n20071119.pdf http://dx.doi.org/10.1016/S0167-8442(02)00083-6 |
Direitos |
2002, Elsevier Science Ltd. |
Palavras-Chave | #circular/elliptical hole #crack #semi-analytic element #hybrid element #complex potentials #conformal mapping |
Tipo |
Journal Article |