RESEARCH PAPERS: Stress Analysis and Design Factors

Thermal Buckling of Initially Stressed Thick Plates

[+] Author and Article Information
Lien-Wen Chen

Department of Mechanical Engineering, Cheng Kung University, Tainan, Taiwan, Republic of China

E. J. Brunelle

Department of Mechanical Engineering, Engineering & Mechanics, Rensselaer Polytechnic Institute, Troy, N.Y.

L. Y. Chen

General Electric Company, Evendale, Ohio

J. Mech. Des 104(3), 557-564 (Jul 01, 1982) (8 pages) doi:10.1115/1.3256386 History: Received January 06, 1982; Online November 17, 2009


Equations of motion for a transversely isotropic thick plate with thermal effects in a general state of nonuniform initial stress where the effects of transverse shear and rotary inertia are included are derived. The method is to perturb the nonlinear equations of elasticity by an incremental deformation. The resulting equations are linearized and integrated through the thickness of the plate to obtain the thermal elastic plate equations. A reduced set of equations for a thick plate with thermal effects is also given. Finally, the thermal buckling problems are solved for a simply supported rectangular plate in a state of uniform compressive (or tensile) initial stress plus initial bending stress combined with uniform thermal compressive stress plus thermal bending stress. The effects of various parameters on thermal buckling loads are studied.

Copyright © 1982 by ASME
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