Abstract
Computational mechanics is an important field in engineering with a strong foundation in continuum mechanics and finite element analysis. The standard and integrated force methods are reviewed, and a structural analysis technique using the finite element force method based on the complementary strain energy is proposed. Similar to the standard force and the integrated force methods, the force method based on the complementary strain energy uses the same equilibrium equations. However, the compatibility conditions are satisfied through the complementary strain energy. The Gauss elimination technique has been employed successfully to generate automatically a basis determinate structure and redundant members. Extension of the force method to dynamics and benchmark problems with displacement-stress and frequency constraints are presented.
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