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Classical and recent formulations for linear elasticity

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Summary

The paper presents a review of the classical formulations for linear elasticity, known as principles in solid mechanics. The analogy between the first variation of the energy functionals and the weak forms is pointed out. Several recent developments in first order system least squares, applied to elasticity are discussed. The paper concludes with a mathematical formulation of a new mixed least squares method and a discussion about its future development.

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  1. Department of Civil, Environmental, and Architectural Engineering, University of Colorado, 80309-0428, Boulder, Colorado, USA

    M. Tchonkova & S. Sture

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Tchonkova, M., Sture, S. Classical and recent formulations for linear elasticity. ARCO 8, 41–74 (2001). https://doi.org/10.1007/BF02736684

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