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Analysis and Sensitivity Analysis by Computer Algebra for a Third-order Plate Finite Element
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It is shown that even a complicated 50-degree-of-freedom laminated plate element can be dealt with analytically without numerical integration. In addition to saving computer time, this has many advantages. The different aspects of the element behavior, i.e. material dependence, orientational dependence and element geometry are separated by using the basic element matrices of the finite element method. This allows for simple sensitivity analysis in optimal design solution and also simplifies the solution of material non-linear problems.
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