Computer-Aided Finite Element Analysis: Interfacing Symbolic and Numerical Computational Techniques
The design and implementation of a software system for generating finite elements and related computations are described. Exact symbolic computational techniques are employed to derive strain-displacement matrices and element stiffness matrices. Methods for dealing with the excessive growth of symbolic expressions are discussed. Automatic FORTRAN code generation is described with emphasis on improving the efficiency of the resultant code. The generated code is used in conjunction with a FORTRAN-based finite element analysis package.
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