000 04282nam a22004815i 4500
001 978-1-4614-1508-4
003 DE-He213
005 20140220083242.0
007 cr nn 008mamaa
008 111130s2012 xxu| s |||| 0|eng d
020 _a9781461415084
_9978-1-4614-1508-4
024 7 _a10.1007/978-1-4614-1508-4
_2doi
050 4 _aQA71-90
072 7 _aPBKS
_2bicssc
072 7 _aMAT006000
_2bisacsh
082 0 4 _a518
_223
082 0 4 _a518
_223
100 1 _aYosibash, Zohar.
_eauthor.
245 1 0 _aSingularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation
_h[electronic resource] /
_cby Zohar Yosibash.
264 1 _aNew York, NY :
_bSpringer New York,
_c2012.
300 _aXXI, 459p. 203 illus., 13 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aInterdisciplinary Applied Mathematics,
_x0939-6047 ;
_v37
520 _aThis 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 materials 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, is still 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.
650 0 _aMathematics.
650 0 _aComputer science
_xMathematics.
650 0 _aEngineering mathematics.
650 0 _aMechanics, applied.
650 1 4 _aMathematics.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aTheoretical and Applied Mechanics.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461415077
830 0 _aInterdisciplinary Applied Mathematics,
_x0939-6047 ;
_v37
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-1508-4
912 _aZDB-2-SMA
999 _c101082
_d101082