Thermal Stresses and Free-Edge Effects in Laminated Beams: A Variational Approach Using Stress FunctionsSource: Journal of Electronic Packaging:;1991:;volume( 113 ):;issue: 001::page 68Author:Wan-Lee Yin
DOI: 10.1115/1.2905369Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: 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.
keyword(s): Thermal stresses , Stress , Functions , Equations , Temperature , Equilibrium (Physics) , Eigenfunctions , Degrees of freedom , Finite element analysis , Boundary-value problems , Polynomials , Thickness AND Traction ,
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contributor author | Wan-Lee Yin | |
date accessioned | 2017-05-08T23:35:20Z | |
date available | 2017-05-08T23:35:20Z | |
date copyright | March, 1991 | |
date issued | 1991 | |
identifier issn | 1528-9044 | |
identifier other | JEPAE4-26121#68_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/108419 | |
description abstract | 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. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Thermal Stresses and Free-Edge Effects in Laminated Beams: A Variational Approach Using Stress Functions | |
type | Journal Paper | |
journal volume | 113 | |
journal issue | 1 | |
journal title | Journal of Electronic Packaging | |
identifier doi | 10.1115/1.2905369 | |
journal fristpage | 68 | |
journal lastpage | 75 | |
identifier eissn | 1043-7398 | |
keywords | Thermal stresses | |
keywords | Stress | |
keywords | Functions | |
keywords | Equations | |
keywords | Temperature | |
keywords | Equilibrium (Physics) | |
keywords | Eigenfunctions | |
keywords | Degrees of freedom | |
keywords | Finite element analysis | |
keywords | Boundary-value problems | |
keywords | Polynomials | |
keywords | Thickness AND Traction | |
tree | Journal of Electronic Packaging:;1991:;volume( 113 ):;issue: 001 | |
contenttype | Fulltext |