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Mathematical and Computational Analyses of Cracking Formation - Fracture Morphology and Its Evolution in Engineering Materials and Structures (Paperback, Softcover reprint of the original 1st ed. 2014)
Loot Price: R3,860
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Mathematical and Computational Analyses of Cracking Formation - Fracture Morphology and Its Evolution in Engineering Materials and Structures (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Mathematics for Industry, 2
Expected to ship within 10 - 15 working days
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This book is about the pattern formation and the evolution of crack
propagation in engineering materials and structures, bridging
mathematical analyses of cracks based on singular integral
equations, to computational simulation of engineering design. The
first two parts of this book focus on elasticity and fracture and
provide the basis for discussions on fracture morphology and its
numerical simulation, which may lead to a simulation-based fracture
control in engineering structures. Several design concepts are
discussed for the prevention of fatigue and fracture in engineering
structures, including safe-life design, fail-safe design, damage
tolerant design. After starting with basic elasticity and fracture
theories in parts one and two, this book focuses on the fracture
morphology that develops due to the propagation of brittle cracks
or fatigue cracks. In part three, the mathematical analysis of a
curved crack is precisely described, based on the perturbation
method. The stability theory of interactive cracks propagating in
brittle solids may help readers to understand the formation of a
fractal-like cracking patterns in brittle solids, while the
stability theory of crack paths helps to identify the straight
versus sharply curved or sometimes wavy crack paths observed in
brittle solids. In part four, the numerical simulation method of a
system of multiple cracks is introduced by means of the finite
element method, which may be used for the better implementation of
fracture control in engineering structures. This book is part of a
series on "Mathematics for Industry" and will appeal to structural
engineers seeking to understand the basic backgrounds of analyses,
but also to mathematicians with an interest in how such
mathematical solutions are evaluated in industrial applications.
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