Development of Four-Node Membrane Element Containing Central Circular Hole
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VIEW THE REPLYPublication: Journal of Engineering Mechanics
Volume 126, Issue 11
Abstract
A four-node rectangular membrane element containing a central circular hole has been developed using complex potentials to define stress and strain functions. The proposed element can be combined with the conventional elements (e.g., isoparametric elements) with no modifications required. Two numerical examples were employed to illustrate the potential accuracy and versatility of the proposed element. The results obtained using the proposed element are in good agreement with the theoretical results in most of the cases studied.
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References
1.
Muskhelishvili, N. ( 1954). “Stress function. Complex representation of the general solution of the equations of the plane theory of elasticity.” Some basic problems of the mathematical theory of elasticity, 2nd Ed., Noordhoff International Publishing, Groningen, The Netherlands, 105–166.
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Soh, A. K. ( 1992). “An improved method for determining free boundary stresses.” J. Strain Analysis, 27(2), 93–99.
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Soh, A. K. ( 1999). “Development of special finite elements for free boundaries.” Int. J. Solids and Struct., 36(6), 899–917.
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Xu, Z. L. ( 1992). “Solution of plane problems in polar coordinates.” Applied elasticity, English Ed., Wiley Eastern Limited, New Delhi, 54–83.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 126 • Issue 11 • November 2000
Pages: 1115 - 1119
History
Received: Apr 29, 1999
Published online: Nov 1, 2000
Published in print: Nov 2000
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