Electronic Resource

Mathematical and Computational Analyses of Cracking Formation: Fracture Morphology and Its Evolution in Engineering Materials and Structures

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Penilaian

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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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Availability

Inventory Code	Barcode	Call Number	Location	Status
1408000257	EB0000421	620.1126 Sum m	Central Library	Available

Detail Information

Series Title

Mathematics for Industry

Call Number

620.1126 Sum m

Publisher

Tokyo : Springer Japan., 2014

Collation

xii, 282p.: III.

Language

English

ISBN/ISSN

978-4-431-54935-2

Classification

620.1126

Content Type

-

Media Type

-

Carrier Type

-

Edition

1

Subject(s)

Fracture mechanics--Mathematical models

Specific Detail Info

-

Statement of Responsibility

RIZAL

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