Probabilistic Mechanics of Quasibrittle Structures: Strength, Lifetime, and Size Effect

by Zdenek P. Bazant and Jia-Liang Le

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Quasibrittle (or brittle heterogeneous) materials are becoming increasingly important for modern engineering. They include concretes, rocks, fiber composites, tough ceramics, sea ice, bone, wood, stiff soils, rigid foams, glass, dental and biomaterials, as well as all brittle materials on the micro or nano scale. Their salient feature is that the fracture process zone size is non-negligible compared to the structural dimensions. This causes intricate energetic and statistical size effects and leads to size-dependent probability distribution of strength, transitional between Gaussian and Weibullian. The ensuing difficult challenges for safe design are vanquished in this book, which features a rigorous theory with detailed derivations yet no superfluous mathematical sophistication; extensive experimental verifications; and realistic approximations for design. A wide range of subjects is covered, including probabilistic fracture kinetics at nanoscale, multiscale transition, statistics of structural strength and lifetime, size effect, reliability indices, safety factors, and ramification to gate dielectrics breakdown.
  • ISBN13 9781107151703
  • Publish Date 25 May 2017 (first published 10 May 2017)
  • Publish Status Active
  • Out of Print 25 June 2024
  • Publish Country GB
  • Imprint Cambridge University Press
  • Format Hardcover
  • Pages 316
  • Language English