An extended beam theory for smart materials applications part I: Extended beam models, duality theory, and finite element simulations

Author:

Gao D. Y.,Russell D. L.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization

Reference11 articles.

1. Chakrabarty, J. (1987), Theory of Plasticity, McGraw-Hill, New York, 791 pp.

2. Ekeland, I., and Temam, R. (1976), Convex Analysis and Variational Problems, North-Holland, Amsterdam.

3. Gao, D. Y. (1988), On the complementary bounding theory for limit analysis, Internat. J. Solids Structures, 24:545?556.

4. Gao, D. Y., and Russell, D. L. (1996), Finite deformation extended beam theory and nonlinear buckling analysis, in: Contemporary Research in the Mathematics and Mechanics of Materials (B. C. Batra and M. F. Beatty, eds.), CIMNE, Barcelona.

5. Gao, D. Y., and Strang, G. (1989a), Geometrical nonlinearity: Potential energy, complementary energy and the gap function, Quart. Appl. Math., XXXXVII(3):487?504.

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