This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.
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Language Notes
Text: English (translation)
Original Language: Russian
Original Language: Russian
About the Author
For the last 30 years Vorovich has been one of the leading figures in the mathematical analysis of nonlinear problems for shells. He pioneered the introduction into shell theory of many of the tools of nonlinear analysis such as bifurcation theory. A considerable part of his work has never been translated into western language. Thus there would be very little overlap with books on the market. None of the engineering books on the market treats the questions he does.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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airy stress function, main boundary value problems, nonlinear shallow shell theory, developable shell, nonlinear shell theory, nonlinear operator equation, weakly continuous functional, moderate bending, shallow shells, nonsingular solution, stiffness condition, solvability theorem, embedding operator, physical stiffness, mixed variational principle, total energy functional, nonzero index, completely continuous operator, homogeneous operators, assume that conditions, winding number, planar vector field, problem tic, complete continuity, generalized solution Key Phrases - Capitalized Phrases (CAPs): (learn more)
Direct Methods, Nonlinear Theory of Shallow Shells, Computation of the Winding Number, Problem of Solvability, Solvability of Problems, General Mathematical Results, Numerical-Analytical Methods, Variational Approach, Boundary Value Problems, Formulation of the Problem of Stability, Variational Methods, General Mathematical Questions, Global Stability, The Newton-Kantorovich Method, Let Conditions, Differentiability Properties of Generalized Solutions, Theory of Surfaces, Bubnov-Galerkin-Ritz Method, Physical Stiffness of Shells, Probabilistic Approach, Some Properties of the Operators, The Liapunov-Schmidt Method, Main Properties of the Operators, Probabilistic Model Under Moderate Bending, Bifurcation of Solutions Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
airy stress function, main boundary value problems, nonlinear shallow shell theory, developable shell, nonlinear shell theory, nonlinear operator equation, weakly continuous functional, moderate bending, shallow shells, nonsingular solution, stiffness condition, solvability theorem, embedding operator, physical stiffness, mixed variational principle, total energy functional, nonzero index, completely continuous operator, homogeneous operators, assume that conditions, winding number, planar vector field, problem tic, complete continuity, generalized solution Key Phrases - Capitalized Phrases (CAPs): (learn more)
Direct Methods, Nonlinear Theory of Shallow Shells, Computation of the Winding Number, Problem of Solvability, Solvability of Problems, General Mathematical Results, Numerical-Analytical Methods, Variational Approach, Boundary Value Problems, Formulation of the Problem of Stability, Variational Methods, General Mathematical Questions, Global Stability, The Newton-Kantorovich Method, Let Conditions, Differentiability Properties of Generalized Solutions, Theory of Surfaces, Bubnov-Galerkin-Ritz Method, Physical Stiffness of Shells, Probabilistic Approach, Some Properties of the Operators, The Liapunov-Schmidt Method, Main Properties of the Operators, Probabilistic Model Under Moderate Bending, Bifurcation of Solutions Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
45
books
cite this book:
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- Nonlinear Problems of Elasticity (Applied Mathematical Sciences) by Stuart Antman in Back Matter (1), and Back Matter (2)
- Asymptotical Mechanics of Thin-Walled Structures: A Handbook (Foundations of Engineering Mechanics) by Igor V. Andrianov in Back Matter
- Statistical and Computational Inverse Problems (Applied Mathematical Sciences) (v. 160) by Jari Kaipio in Back Matter
- Nonlinear Schroedinger Equations: Self-Focusing and Wave Collapse (Applied Mathematical Sciences/139) by Catherine Sulem in Back Matter
- Functional Analysis in Mechanics by L. P. Lebedev in Back Matter
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