Applied Mathematics and Mechanics

, Volume 11, Issue 9, pp 829–834

# Isotropicalized spline integral equation method for the analysis of anisotropic plates

• Wang You-cheng
• Wang Zuo-hui
Article

## Abstract

In the view of Reissner's and Kirchhoff's theories, respectively, we formulate the isotropicalized governing equations for the anisotropic plates, and give the proof of the equivalence relation between these two plate-models for the simply-supported rectangular orthotropic plates. The well-known fundamental solutions of the isotropic plates are utlized for the spline integral equation analysis of anisotropic plates.Even with sparse meshes the satisfactory results can be obtained. The analysis of plates on two-parameter elastic foundation is so simple as the common case that only a few terms should be added to the formulas of fictitious loads.

## Key words

anisotropic plates spline integral equation method isotropicalized process

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