Overview
This introductory and self-contained book gathers as much explicit mathematical results on the linear-elastic and heat-conduction solutions in the neighborhood of singular points in two-dimensional domains, and singular edges and vertices in three-dimensional domains. These are presented in an engineering terminology for practical usage. The author treats the mathematical formulations from an engineering viewpoint and presents high-order finite-element methods for the computation of singular solutions in isotropic and anisotropic materials, and multi-material interfaces. The proper interpretation of the results in engineering practice is advocated, so that the computed data can be correlated to experimental observations. The book is divided into fourteen chapters, each containing several sections. Most of it (the first nine Chapters) addresses two-dimensional domains, where only singular points exist. The solution in a vicinity of these points admits an asymptotic expansion composed of eigenpairs and associated generalized flux/stress intensity factors (GFIFs/GSIFs), which are being computed analytically when possible or by finite element methods otherwise. Singular points associated with weakly coupled thermoelasticity in the vicinity of singularities are also addressed and thermal GSIFs are computed. The computed data is important in engineering practice for predicting failure initiation in brittle material on a daily basis. Several failure laws for two-dimensional domains with V-notches are presented and their validity is examined by comparison to experimental observations. A sufficient simple and reliable condition for predicting failure initiation (crack formation) in micron level electronic devices, involving singular points, isstill a topic of active research and interest, and is addressed herein. Explicit singular solutions in the vicinity of vertices and edges in three-dimensional domains are provided in the remaining five chapters. New methods for the computation of generalized edge flux/stress intensity functions along singular edges are presented and demonstrated by several example problems from the field of fracture mechanics; including anisotropic domains and bimaterial interfaces. Circular edges are also presented and the author concludes with some remarks on open questions. This well illustrated book will appeal to both applied mathematicians and engineers working in the field of fracture mechanics and singularities.
Full Product Details
Author: Zohar Yosibash
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Volume: 37
Dimensions:
Width: 15.50cm
, Height: 2.50cm
, Length: 23.50cm
Weight: 0.735kg
ISBN: 9781489995100
ISBN 10: 1489995102
Pages: 462
Publication Date: 03 March 2014
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
From the reviews: The main goal of the book is to provide a unified approach to the analysis of singular points, both analytical and numerical, and the subsequent use of the computed data in engineering practice for predicting and eventually preserving failures in structural mechanics. The book is divided into 14 chapters, each containing several sections. ... The book is written as much as possible self-contained. (Jan Sladek, Zentralblatt MATH, Vol. 1244, 2012)
From the reviews: The main goal of the book is to provide a unified approach to the analysis of singular points, both analytical and numerical, and the subsequent use of the computed data in engineering practice for predicting and eventually preserving failures in structural mechanics. The book is divided into 14 chapters, each containing several sections. ... The book is written as much as possible self-contained. (Jan Sladek, Zentralblatt MATH, Vol. 1244, 2012)
Author Information
Zohar Yosibash is a Professor of Mechanical Engineering at Ben-Gurion University of the Negev in Beer-Sheva, Israel
