Topics in Linear Elasticity

Paolo Maria Mariano and Luciano Galano
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Paolo Maria Mariano: University of Florence, DICeA
Luciano Galano: University of Florence, DICeA

Chapter Chapter 5 in Fundamentals of the Mechanics of Solids, 2015, pp 147-169 from Springer

Abstract: 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.

Keywords: Mixed Boundary; Admissible State; Complementary Energy; Airy Stress Function; Contravariant Component (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-1-4939-3133-0_5

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