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Plates and shells with cracks : a collection of stress intensity factor solutions for cracks in plates and shells / edited by G.C. Sih.

This third volume of a series on Mechanies of Fraeture deals with eraeks in plates and shelIs. It was noted in Volume 2 on three-dimensional eraek problems that additional free surfaees can lead to substantial mathematical complexities, often making the analysis unmanageable. The theory of plates an...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Sih, G. C. (George C.)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands, 1977.
Series:Mechanics of fracture ; 3.
Subjects:
Physics.
Mechanics.
Table of Contents:
  • 1 Interaction of arbitrary array of cracks in wide plates under classical bending
  • 1.1 Introduction
  • 1.2 Basic relations
  • 1.3 Complex potentials for traction free cracks
  • 1.4 Arbitrary array of cracks in wide plate
  • 1.5 Numerical results
  • 1.6 Discussions
  • References
  • 2 Improved approximate theories of the bending and extension of flat plates
  • 2.1 Introduction
  • 2.2 Approximate theories by variational methods
  • 2.3 Applications to crack problems
  • 2.4 Guidelines for practical applications
  • References
  • 3 Through cracks in multilayered plates
  • 3.1 Introduction
  • 3.2 Minimum complementary energy applied to a layered plate
  • 3.3 An approximate three-dimensional theory of multi-layered plates
  • 3.4 Through crack in a layered plate
  • 3.5 Stress distribution across the plate thickness
  • 3.6 Discussion of numerical results
  • 3.7 Appendix: Definition of constants
  • References
  • 4 Asymptotic approximations to crack problems in shells
  • 4.1 Introduction
  • 4.2 General theory
  • classical
  • 4.3 The stress field in a cracked spherical shell
  • 4.4 The stress field in a cracked plate
  • 4.5 The stress field in a cracked cylindrical shell
  • 4.6 Approximate stress intensity factors for other shell geometries
  • 4.7 Plates on elastic foundations
  • 4.8 Particular solutions
  • 4.9 Discussion
  • References
  • 5 Crack problems in cylindrical and spherical shells
  • 5.1 Introduction
  • 5.2 Formulation of the specially orthotropic cylindrical shell problem
  • 5.3 The skew-symmetric problem
  • 5.4 The symmetric problem
  • 5.5 Results for a specially orthotropic cylindrical shell
  • 5.6 The effect of Poisson's ratio
  • 5.7 Interaction of two cracks
  • 5.8 Further results for isotropic shells
  • References
  • 6 On cracks in shells with shear deformation
  • 6.1 Introduction
  • 6.2 Shell theory with shear deformation
  • 6.3 Symmetric loading
  • Appendix: Integrand and Kernel functions
  • References
  • 7 Dynamic analysis of cracked plates in bending and extension
  • 7.1 Introduction
  • 7.2 Classical plate bending theory
  • 7.3 Mindlin's theory of plate bending
  • 7.4 Kane-Mindlin's equation in plate extension
  • 7.5 Plates subjected to sudden loading
  • References
  • 8 A specialized finite element approach for three-dimensional crack problems
  • 8.1 Introduction
  • 8.2 Three-dimensional elastic calculations
  • 8.3 Finite element method
  • background
  • 8.4 Specialized elements for the crack edge
  • 8.5 Applications to crack problems
  • 8.6 Details of the analysis
  • 8.7 Results of the finite element analysis
  • 8.8 Summary
  • References
  • Author's Index.

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