Numerical Assessments of Cracks in Elastic-Plastic Materials [Paperback]

In this book a systematic discussion of crack problems in elastic-plastic materials is presented. The state of the art in fracture mechanics research and assessment of cracks is documented, with the help of analytic, asymptotic methods as well as finite element computations. After a brief introduction to fracture mechanics, the two-parameter concept for stationary cracks is studied in addition to the issues in three-dimensional crack fields under coupling with strong out-of-plane effects. Cracks along interfaces and crack growth problems under mixed mode conditions are also treated. A systematic study of stress singularities for different notches is accompanied by detailed finite element computations.In this book a systematic discussion of crack problems in elastic-plastic materials is presented. The state of the art in fracture mechanics research and assessment of cracks is documented, with the help of analytic, asymptotic methods as well as finite element computations. After a brief introduction to fracture mechanics, the two-parameter concept for stationary cracks is studied in addition to the issues in three-dimensional crack fields under coupling with strong out-of-plane effects. Cracks along interfaces and crack growth problems under mixed mode conditions are also treated. A systematic study of stress singularities for different notches is accompanied by detailed finite element computations.1. Introduction.- 2. Cracks under stationary conditions.- 2.1 Higher-order solutions for pressure-sensitive materials.- 2.1.1 Governing equations.- 2.1.2 Plane strain fields.- 2.1.3 Plane stress fields.- 2.1.4 Two-parameter characterization based on higher-order solutions.- 2.2 Two-parameter characterizations for engineering materials.- 2.2.1 Small-scale yielding fields.- 2.2.2 Plane strain fields under general yielding.- 2.3 Effects of biaxial loads to plane stress cracks.- 2.3.1 Small-scale yielding fields.- 2.3.2 Finite-cracked geometries.- 2.4 Three-dimensional crack frlĂ!