×


 x 

Shopping cart
Zohar Yosibash - Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation - 9781489995100 - V9781489995100
Stock image for illustration purposes only - book cover, edition or condition may vary.

Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation

€ 185.30
FREE Delivery in Ireland
Description for Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation Paperback. This important, pragmatic and timely book on the mathematical models of damage and flow tolerance is written by a recognized expert in the field. It will appeal to both mathematicians who are interested in the regularity of elliptic boundary value problems and to engineers interested in the study of fractions and fatigue of materials. Series: Interdisciplinary Applied Mathematics. Num Pages: 484 pages, biography. BIC Classification: PBKS; TBJ; TGMD. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 25. Weight in Grams: 735.

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 ... Read more

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.

Show Less

Product Details

Format
Paperback
Publication date
2014
Publisher
Springer-Verlag New York Inc. United States
Number of pages
484
Condition
New
Series
Interdisciplinary Applied Mathematics
Number of Pages
462
Place of Publication
New York, United States
ISBN
9781489995100
SKU
V9781489995100
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

About Zohar Yosibash
Zohar Yosibash is a Professor of Mechanical Engineering at Ben-Gurion University of the Negev in Beer-Sheva, Israel

Reviews for Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation
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 ... Read more

Goodreads reviews for Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation


Subscribe to our newsletter

News on special offers, signed editions & more!