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Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation (Interdisciplinary Applied Mathematics Book 37) by Yosibash, Zohar is a nonfiction available to read on EtoBox.

What is Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation (Interdisciplinary Applied Mathematics Book 37) about?

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, whereonly 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

Who reads Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation (Interdisciplinary Applied Mathematics Book 37)?

Author

Yosibash, Zohar

Publisher

Springer Science+Business Media, LLC

Published

2012

Language

EN

ISBN

9781461415077

Category

nonfiction

Subjects

Science, Mathematics, Physics