Mathematical and Computational Analyses of Cracking Formation

Fracture Morphology and Its Evolution in Engineering Materials and Structures

Nonfiction, Science & Nature, Technology, Material Science, Science, Physics, Mechanics
Cover of the book Mathematical and Computational Analyses of Cracking Formation by Yoichi Sumi, Springer Japan
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Yoichi Sumi ISBN: 9784431549352
Publisher: Springer Japan Publication: June 11, 2014
Imprint: Springer Language: English
Author: Yoichi Sumi
ISBN: 9784431549352
Publisher: Springer Japan
Publication: June 11, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Japan

Cover of the book The Liquid Crystal Display Story by Yoichi Sumi
Cover of the book Medical Applications of Synchrotron Radiation by Yoichi Sumi
Cover of the book Computational Aesthetics by Yoichi Sumi
Cover of the book A Bayesian Analysis of QCD Sum Rules by Yoichi Sumi
Cover of the book Mechanosensing Biology by Yoichi Sumi
Cover of the book Viral Hepatitis and Liver Disease by Yoichi Sumi
Cover of the book The Limit Shape Problem for Ensembles of Young Diagrams by Yoichi Sumi
Cover of the book Introduction to Singularities by Yoichi Sumi
Cover of the book The Agglomeration of the Animation Industry in East Asia by Yoichi Sumi
Cover of the book Atlas of Endoscopy with Narrow Band Imaging by Yoichi Sumi
Cover of the book Nevanlinna Theory in Several Complex Variables and Diophantine Approximation by Yoichi Sumi
Cover of the book Fertility Decline and Background Independence by Yoichi Sumi
Cover of the book Applied Data-Centric Social Sciences by Yoichi Sumi
Cover of the book Wind Resistant Design of Bridges in Japan by Yoichi Sumi
Cover of the book Principia Designae - Pre-Design, Design, and Post-Design by Yoichi Sumi
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy