Monotone Potential Operators and a Class of Models with Nonlinear Hooke’s Law, Duality and Plasticity, and Polyconvexity

Eberhard Zeidler
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Eberhard Zeidler: Max-Planck-Institut für Mathematik in den Naturwissenschaften

Chapter Chapter 62 in Nonlinear Functional Analysis and its Applications, 1988, pp 233-295 from Springer

Abstract: Abstract In this chapter we consider: (i) a class of approximation models with convex stored energy function. We investigate: existence and uniqueness, duality, and approximation methods (Ritz method and Trefftz method, projection—iteration method, and gradient method); (ii) a class of exact models with polyconvex stored energy functions (existence via compensated compactness).

Keywords: Existence Theorem; Ritz Method; Legendre Transformation; Minimal Potential Energy; Linear Elasticity Theory (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-4566-7_6

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DOI: 10.1007/978-1-4612-4566-7_6

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