Research Article
Feb 1977
Anisotropic Hybrid Displacement Singularity Element
Authors: Michael C. Apostal, George C. Lee, M.ASCE, Frederick W. Braun, M.ASCE, and Stephen JordanAuthor Affiliations
Publication: Journal of the Structural Division
Volume 103, Issue 2
Abstract
The displacement-hybrid method of finite element formulation is extended to the development of a singularity super finite element which can be used to model the behavior of a sharp crack in a rectilinearly anisotropic plane. Functional representations of the displacement field surrounding a sharp crack in a rectilinearly anisotropic plane are developed from the planar form of the linear theory of anisotropic elasticity. The formulation of the displacement-hybrid singularity super element is based on a variational principle obtained from a generalization of the total potential energy. The displacement-hybrid model singularity element which results from the formulation possesses boundary and interior displacement fields which are distinctly different in nature. Certain available numerical results, which tend to confirm the validity of the formulation, are presented.
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Published In
Journal of the Structural Division
Volume 103 • Issue 2 • February 1977
Pages: 335 - 354
Copyright
© 1977 American Society of Civil Engineers.
History
Published in print: Feb 1977
Published online: Feb 1, 2021
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Authors
Affiliations
Michael C. Apostal
Sr. Research Engr., MARC Analysis Research Corp., Providence, R.I.
George C. Lee, M.ASCE
Prof. and Dir., Dept. of Civ. Engrg., State Univ. of New York at Buffalo, Buffalo, N.Y.
Frederick W. Braun, M.ASCE
Sr. Engr., Union Carbide Corp., Linde Div., Tonawanda, N.Y.
Stephen Jordan
MARC Analysis Research Corp., Providence, R.I.
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