Plates and shells with cracks: Mechanics of Fracture, cartea 3

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 withshear 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.