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

Citation
E. Madenci et al., A complex potential-variational method for stress analysis of unsymmetric laminates with an elliptical cutout, J APPL MECH, 68(5), 2001, pp. 731-739
Citations number
15
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
ISSN journal
0021-8936 → ACNP
Volume
68
Issue
5
Year of publication
2001
Pages
731 - 739
Database
ISI
SICI code
0021-8936(200109)68:5<731:ACPMFS>2.0.ZU;2-T
Abstract
A combined complex potential-variational solution method is developed for t he analysis of unsymmetrically laminated plates with finite planform geomet ry, subjected to arbitrary edge loads, and with an inclined elliptical cuto ut. This method uses complex potentials and their Laurent series expansions to reduce the potential energy of a plate to a contour integral that is ev aluated numerically by the trapezoidal rule. A variational statement of equ ilibrium is applied to the potential energy to obtain a lineal, system of e quations in terms of the unknown coefficients of the Laurent series, whose solutions yield the stress and displacement fields for a given problem. Thi s approach represents a computationally efficient alternative to boundary c ollocation procedures that are typically used to solve problems based on co mplex potential theory. Comparisons are mode with corresponding results obt ained from finite element analysis for a square unsymmetrically laminated p late with a central inclined elliptical cutout and subjected to biaxial ten sion. The results confirm the validity of the solution method.