Foundations of the Mathematical Theory of Structures |
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Contents
Introduction LO | 5 |
Basic Concepts of Functional Analysis | 18 |
The Convergence Theory for Variational Methods | 40 |
Copyright | |
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Foundations of the Mathematical Theory of Structures E.R. de Arantes e Oliveira Limited preview - 2014 |
Foundations of the Mathematical Theory of Structures E. R. De Arantes E Oliveira No preview available - 2014 |
Common terms and phrases
allowed fields assumed to vanish assumption B₁ B₂ Banach space body forces boundary conditions called compatibility equilibrium compatibilize components considered continuous and bounded convergence theorem corresponding cosets couple-stresses defined denote differential discrete model displacement vector distance divergence theorem domain elasticity energy theorem equa equilibrium equations exact solution external forces F₁ F₂ finite element method functional F given h₂ Hilbert space initial strains Introducing isocompatible isoconstrained and isominimizing isoconstrained subset isominimizing subsets linear space linear subspace linear tangential manifold magnitudes ment metric space norm obtain operator orthogonal prescribed principal derivatives respect Ritz method rotations sequence simplified theory strain energy strain tensor strain-displacement equations stress-strain equations subdomain T-image tensor theory of shells theory of structures three-dimensional tions total potential complementary tractions transverse displacement two-dimensional U₁ variational theorems vector virtue x₁ x₂ αβ Δε