000 04313nam a22006015i 4500
001 978-4-431-54935-2
003 DE-He213
005 20200421112228.0
007 cr nn 008mamaa
008 140611s2014 ja | s |||| 0|eng d
020 _a9784431549352
_9978-4-431-54935-2
024 7 _a10.1007/978-4-431-54935-2
_2doi
050 4 _aTA405-409.3
050 4 _aQA808.2
072 7 _aTG
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTEC021000
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aSumi, Yoichi.
_eauthor.
245 1 0 _aMathematical and Computational Analyses of Cracking Formation
_h[electronic resource] :
_bFracture Morphology and Its Evolution in Engineering Materials and Structures /
_cby Yoichi Sumi.
264 1 _aTokyo :
_bSpringer Japan :
_bImprint: Springer,
_c2014.
300 _aXII, 282 p. 168 illus., 12 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 _aMathematics for Industry,
_x2198-350X ;
_v2
505 0 _aElastic Boundary-value Problems -- Stress Concentration Problems -- Analysis of Two-dimensional Cracks -- Brittle Fracture -- Fatigue Crack Propagation -- Pattern Formation of Interacting Brittle Cracks -- Crack Paths in Brittle Solids -- Brittle Fracture along Butt-Weld -- Fatigue Crack Paths -- Simulation of Crack Propagation -- Fracture Control of Engineering Structures -- Appendix -- Index.
520 _aThis 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.
650 0 _aEngineering.
650 0 _aMathematical models.
650 0 _aMechanics.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aContinuum mechanics.
650 0 _aStructural mechanics.
650 0 _aMaterials science.
650 1 4 _aEngineering.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
650 2 4 _aCharacterization and Evaluation of Materials.
650 2 4 _aMechanics.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
650 2 4 _aStructural Mechanics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9784431549345
830 0 _aMathematics for Industry,
_x2198-350X ;
_v2
856 4 0 _uhttp://dx.doi.org/10.1007/978-4-431-54935-2
912 _aZDB-2-ENG
942 _cEBK
999 _c57799
_d57799