Plates and shells with cracks

Inhaltsverzeichnis

• 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.
• 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.
• 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.
• 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.
• 6 On cracks in shells with shear deformation.
• 6.1 Introduction.
• 6.2 Shell theory withshear deformation.
• 6.3 Symmetric loading.
• Appendix: Integrand and Kernel functions.
• 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.
• 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.
• Author’s Index.