An Introduction to Shell Theory
نویسندگان
چکیده
Part 1. Three-dimensional theory 3 Outline 3 1.1. Notation, definitions, and some basic formulas 3 1.2. Equations of equilibrium 5 1.3. Constitutive equations of elastic materials 8 1.4. The equations of nonlinear and linearized three-dimensional elasticity 11 1.5. A fundamental lemma of J.L. Lions 13 1.6. Existence theory in linearized three-dimensional elasticity 14 1.7. Existence theory in nonlinear three-dimensional elasticity by the implicit function theorem 18 1.8. Existence theory in nonlinear three-dimensional elasticity by the minimization of energy (John Ball’s approach) 20
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