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This book presents an experimentally validated probabilistic strength theory of structures made of concrete, composites, ceramics and other quasibrittle materials.
'This new book provides a welcome addition to the very sparse collection of contemporary books that genuinely move the field of mechanics and materials forward. It does so by major steps of progress and consolidation, not just by incremental change. And its beneficial effects are not limited to mechanics and materials. … Virtually all work is supported by experimental verification. There is an unusually large, detailed and illuminating summary of past work and references. Much of it is from the senior author's voluminous and well received contributions to the research literature. As is evident, this is a research oriented book. It is not for beginners. But for those interested in the topic and determined to diligently pursue it, then this book will prove to be an invaluable and indispensable resource. The authors seem to have been committed to work on some of the very hardest problems in existence and their progress is nothing short of remarkable.' Richard M. Christensen, Meccanica
1. Introduction; 2. Review of classical statistical theory of structural strength and structural safety, and of classical fundamentals; 3. Review of fracture mechanics and deterministic size effect in quasibrittle structures; 4. Failure statistics of nanoscale structures; 5. Nano-macro scale bridging of probability distributions of static and fatigue strengths; 6. Multiscale modeling of fracture kinetics and size effect under static and cyclic fatigue; 7. Size effect on probability distributions of strength and lifetime of quasibrittle structures; 8. Computation of probability distributions of structural strength and lifetime; 9. Indirect determination of strength statistics of quasibrittle structures; 10. Statistical distribution and size effect on residual strength after sustained load; 11. Size effect on reliability indices and safety factors; 12. Crack length effect on scaling of structural strength and type 1 to 2 transition; 13. Effect of stress singularities on scaling of structural strength; 14. Lifetime of high-k gate dielectrics and its analogy with failure statistics of quasibrittle structures.