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Inverse and Crack Identification Problems in Engineering Mechanics pp 11–54Cite as

Computational Mechanics

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Part of the book series: Applied Optimization ((APOP,volume 46))

Abstract

A systematic way for the derivation of variational principles in mechanics goes through the consideration of a potential energy or of a complementary energy function. The classical set of possibly nonlinear equations of mechanics from the one side, i.e., the compatibility equations, the equilibrium equations and the material laws, and, from the other side, the optimality conditions of the mathematical optimization theory are integrated in this approach. In fact, the governing relations of the problem either are taken into account in the derivation of the problem or they are produced from the optimality conditions of the associated energy optimization problem.

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  1. Institute of Applied Mathematics, Department of Civil Engineering, Technical University Carolo Wilhelmina, Braunschweig, Germany

    Georgios E. Stavroulakis

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  1. Georgios E. Stavroulakis
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Stavroulakis, G.E. (2001). Computational Mechanics. In: Inverse and Crack Identification Problems in Engineering Mechanics. Applied Optimization, vol 46. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0019-3_2

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  • DOI: https://doi.org/10.1007/978-1-4615-0019-3_2

  • Publisher Name: Springer, Boston, MA

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