Probabilistic fracture mechanics

  • Dietmar GrossEmail author
  • Thomas Seelig
Part of the Mechanical Engineering Series book series (MES)


The failure analysis of a structure proceeds on the basis of a fracture or failure criterion. A typical example is the criterion of brittle fracture K I = K Ic which states that failure does not take place for K I < K Ic . Application of such a criterion in the deterministic sense requires all involved quantities to be exactly known. This, however, is not always the case. For instance, the in-service loading conditions of a technical component as well as the material’s fracture toughness K Ic may scatter. Also the location, size, and orientation of cracks is sometimes not precisely known.


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© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Solid MechanicsTU DarmstadtDarmstadtGermany
  2. 2.Karlsruhe University (KIT)Institute of MechanicsKarslruheGermany

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