A complex potential-variational method for stress analysis of unsymmetric laminates with an elliptical cutout

Erdogan Madenci, A. Barut, M. P. Nemeth

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A combined complex potential-variational solution method is developed for the analysis of unsymmetrically laminated plates with finite planform geometry, subjected to arbitrary edge loads, and with an inclined elliptical cutout. This method uses complex potentials and their Laurent series expansions to reduce the potential energy of a plate to a contour integral that is evaluated numerically by the trapezoidal rule. A variational statement of equilibrium is applied to the potential energy to obtain a linear system of equations in terms of the unknown coefficients of the Laurent series, whose solutions yield the stress and displacement fields for a given problem. This approach represents a computationally efficient alternative to boundary collocation procedures that are typically used to solve problems based on complex potential theory. Comparisons are made with corresponding results obtained from finite element analysis for a square unsymmetrically laminated plate with a central inclined elliptical cutout and subjected to biaxial tension. The results confirm the validity of the solution method.

Original languageEnglish (US)
Pages (from-to)731-739
Number of pages9
JournalJournal of Applied Mechanics, Transactions ASME
Volume68
Issue number5
DOIs
StatePublished - 2001

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stress analysis
Potential energy
Stress analysis
laminates
Laminates
Planforms
potential energy
planforms
Linear systems
potential theory
collocation
linear systems
series expansion
Finite element method
stress distribution
Geometry
coefficients
geometry

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics

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A complex potential-variational method for stress analysis of unsymmetric laminates with an elliptical cutout. / Madenci, Erdogan; Barut, A.; Nemeth, M. P.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 68, No. 5, 2001, p. 731-739.

Research output: Contribution to journalArticle

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