# Basics of Fracture Mechanics

• Meinhard Kuna
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 201)

## Abstract

The theoretical foundations of fracture mechanics will be presented in this chapter. The main focus lies on the description of the available continuum-mechanical solutions for cracks. On the basis of stress and deformation situations determined this way, suitable parameters, which clearly describe the loading states during fractures, are then selected. These loading and fracture parameters shape the foundation for the formulation of fracture criteria. With their help, the behavior of cracks can be quantitatively evaluated. These usually closed mathematical solutions are the preconditions to being able to calculate the sizes of cracks with numerical methods later on. Naturally, the experimental test methods of fracture mechanics used to evaluate the material parameters are based on the understanding of the loading situation as well.

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