Geometric method for stability of non-linear elastic thin shells /

This book deals with the new developments and application of the geometric method to the nonlinear stability problem for thin non-elastic shells. A.V. Pogorelov (Harkov, Ukraine) was the first to provide in his monographs the geometric construction of the deformed shell surface in a post-critical st...

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Bibliographic Details
Main Author: Ivanova, Jordanka
Corporate Author: SpringerLink (Online service)
Other Authors: Pastrone, Franco
Format: eBook
Language:English
Published: Boston : Kluwer Academic Publishers, [2002]
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Postcritical Deformations of Thin Anisotropic Shells
  • Geometric Method in the Nonlinear Theory of Thin Shells
  • Postcritical Deformations of Convex Shells
  • Stability Loss of Strictly Convex Shells
  • Stability Loss of Convex Developable Shells
  • Asymptotic Form of the Poscritical Deformation Energy of Elastic Anisotropic Shells
  • Postcritical Deformations of Shallow Strongly Convex Orthotropic Shells
  • Lower Critical Load for Spherical Shells (Caps) under External Pressure
  • Cylindrical Orthotropic Shells under Axial Compression
  • Mechanical Interpretation of the Berger's Hypothesis for the Global Stability of Statically Loaded Anisotropic Shells
  • Postcritical Deformations of Thin Elastic Anisotropic Shells with Linear Memory
  • Variational Principle A for Thin Elastic Anisotropic Shells with Linear Memory
  • Postcritical Deformations of Thin Elastic Orthotropic Cylindrical Shells with Linear Memory under Uniform External Pressure
  • Linear Effect of the Kernel Parameter [gamma]
  • Postcritical Deformations of Thin Orthotropic Cylindrical Shells with Linear Memory. Nonlinear Effect of a Kernel Parameter [gamma]
  • Variational Principle for Global Stability of Elasto-Plastic Thin Shells
  • Asymptotic Expression for the Energy of Postcritical Deformations of Elasto-Plastic Shells
  • Variational Principle A for Elasto-Plastic thin shells
  • Postcritical Behavior of Thin Cylindrical Elasto-Plastic Shells under Axial Compression
  • Instability of Thin Elastic and Elasto-Plastic Orthotropic Shells under Combined Static and Dynamic Loading.