A variational method involving stress functions is used to determine the interlaminar stresses and the free-edge effects in a laminated beam under a temperature loading. The stress function in each layer is approximated by a cubic polynomial function of the thickness coordinate. The equilibrium equations, the traction boundary conditions, and the continuity conditions of the interlaminar stresses are exactly satisfied in this analysis, while the compatibility equations and interfacial continuity of the tangential strains are enforced in an averaged sense by applying the principle of complementary virtual work. The method is highly efficient and accurate. A thermal stress analysis for a three-layer beam using only eight eigenfunctions yield results that are comparable in accuracy to finite-element solutions involving thousands of degrees of freedom.
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March 1991
Research Papers
Thermal Stresses and Free-Edge Effects in Laminated Beams: A Variational Approach Using Stress Functions
Wan-Lee Yin
Wan-Lee Yin
School of Civil Engineering, Georgia Institute of Technology, Atlanta, GA 30332
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Wan-Lee Yin
School of Civil Engineering, Georgia Institute of Technology, Atlanta, GA 30332
J. Electron. Packag. Mar 1991, 113(1): 68-75 (8 pages)
Published Online: March 1, 1991
Article history
Received:
October 3, 1990
Revised:
December 10, 1990
Online:
April 28, 2008
Citation
Yin, W. (March 1, 1991). "Thermal Stresses and Free-Edge Effects in Laminated Beams: A Variational Approach Using Stress Functions." ASME. J. Electron. Packag. March 1991; 113(1): 68–75. https://doi.org/10.1115/1.2905369
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