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Application of Symbolic Computation to Two-Dimensional Elasticity

D. Choi
S. Nomura
Journal / Anthology

Computers & Structures
Year: 1992
Volume: 43
Issue: 4
Page range: 645-649

Application of symbolic algebra software (Mathematica) is presented to analyze a two-dimensional elasticity problem. Elastic fields for a two-dimensional body subject to linear temperature distribution are obtained in semi-analytical form using symbolic algebra software Mathematica by implementing the Galerkin method. Two test cases, a homogeneous elastic body with rectangular shape, and body that contains circular inhomogeneity (inclusion), are analyzed to demonstrate the proposed methodology. Without resorting to purely numerical methods such as finite element, the present method can automate otherwise tedious code rewriting procedures and is ideal for sensitivity analysis as it retains all the relevant parameters.

*Engineering > Mechanical and Structural Engineering