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Yoichi Sumi - Mathematical and Computational Analyses of Cracking Formation: Fracture Morphology and Its Evolution in Engineering Materials and Structures (Mathematics for Industry) - 9784431549345 - V9784431549345
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Mathematical and Computational Analyses of Cracking Formation: Fracture Morphology and Its Evolution in Engineering Materials and Structures (Mathematics for Industry)

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Description for Mathematical and Computational Analyses of Cracking Formation: Fracture Morphology and Its Evolution in Engineering Materials and Structures (Mathematics for Industry) Hardcover. Mathematical and Computational Analyses of Cracking Formation Series: Mathematics for Industry. Num Pages: 282 pages, 156 black & white illustrations, 12 colour illustrations, biography. BIC Classification: PBWH; PHD; TBJ; TGMT. Category: (P) Professional & Vocational. Dimension: 163 x 242 x 17. Weight in Grams: 556.

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 ... Read more

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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Product Details

Publisher
Springer
Format
Hardback
Publication date
2014
Series
Mathematics for Industry
Condition
New
Weight
612g
Number of Pages
282
Place of Publication
Tokyo, Japan
ISBN
9784431549345
SKU
V9784431549345
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

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