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Topics in Linear Elasticity

In: Fundamentals of the Mechanics of Solids

Author

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  • Paolo Maria Mariano

    (University of Florence, DICeA)

  • Luciano Galano

    (University of Florence, DICeA)

Abstract

As declared in the title, this chapter deals with some aspects of linear elasticity. The list of topics includes (1) the theorem of minimum of total energy, (2) the analogous theorem in terms of complementary energy, (3) the Hellinger–Prange–Reissner principle, (4) the Fraeijs de Veubekele–Hu–Washizu variational principle, (5) the Betti reciprocal theorem, (6) the Kirchhoff uniqueness theorem, (7) the Navier and the Beltrami–Donati–Michell equations, (8) some aspects of the analysis of planar problems.

Suggested Citation

  • Paolo Maria Mariano & Luciano Galano, 2015. "Topics in Linear Elasticity," Springer Books, in: Fundamentals of the Mechanics of Solids, edition 1, chapter 0, pages 147-169, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4939-3133-0_5
    DOI: 10.1007/978-1-4939-3133-0_5
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