Nonlinear Postbuckling Deformations of Rectangular Laminates with Application to Delamination Growth
博士 === 國立中興大學 === 應用數學系 === 91 === Postbuckling solutions of laminated rectangular plates are obtained by the Rayleigh-Ritz method using von Karman’s nonlinear strain-displacement relations and high-order polynomial expansions of the displacements. The potential energy function and the no...
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| Format: | Others |
| Language: | en_US |
| Published: |
2003
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| Online Access: | http://ndltd.ncl.edu.tw/handle/61570192133277024861 |
| Summary: | 博士 === 國立中興大學 === 應用數學系 === 91 === Postbuckling solutions of laminated rectangular plates are obtained by the Rayleigh-Ritz method using von Karman’s nonlinear strain-displacement relations and high-order polynomial expansions of the displacements. The potential energy function and the nonlinear algebraic equations governing the undetermined coefficients are obtained. Reasonably accurate solutions for the membrane forces, the bending and twisting moments and the pointwise energy release rates generally require 76 or more unknown coefficients. Such refined postbuckling solutions show significant non-uniformity of the in-plane forces and strains and certain boundary effects characterized by concentration of the curvatures and the bending moment along the edge. These effects have important implications for the buckling and growth of delamination in laminated plates. The postbuckling deformations for anisotropic laminates are discussed. The resultants for the force and moment resultants and for the pointwise energy-release rates show complex patterns of behavior, depending on the orientation and the stacking sequence of the plies in the delamination and on the aspect ratio of the rectangle. The thermal effects on the postbuckling deformation and delamination growth of a rectangular laminates are discussed. The maximum value of the difference of the out-of-plane displacement occurred at the point, which is the maximum of the out-of-plane displacement.
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