The book explores the two opposite natural trends of composite
systems: (i) order and structure emerging from heterogeneity and
randomness, and (ii) instability and chaos arising from simple
nonlinear rules. Providing insights into the rapidly growing field
of complexity sciences, the book focuses on the role of complexity
in fracture mechanics. It firstly discusses the occurrence of
self-similarity and fractal patterns in deformation, damage,
fracture, and fragmentation of heterogeneous materials and the
apparent scaling of the nominal mechanical properties of disordered
materials, as well as of the time-to-failure after fatigue and
creep loading. Then the book addresses criticality in the acoustic
emissions from damaged structures and tectonic faults. Further, it
examines the snap-back instability in the structural behavior of
relatively large composite structures in the framework of
catastrophe theory, and lastly describes the transition toward
chaos in the dynamics of cracked elements.
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