LEADER 05423nam 22008175 450 001 9910299751603321 005 20200704224620.0 010 $a4-431-54935-8 024 7 $a10.1007/978-4-431-54935-2 035 $a(CKB)3710000000129328 035 $a(EBL)1783685 035 $a(SSID)ssj0001274420 035 $a(PQKBManifestationID)11993883 035 $a(PQKBTitleCode)TC0001274420 035 $a(PQKBWorkID)11324828 035 $a(PQKB)10905540 035 $a(MiAaPQ)EBC1783685 035 $a(DE-He213)978-4-431-54935-2 035 $a(PPN)179765701 035 $a(EXLCZ)993710000000129328 100 $a20140611d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical and Computational Analyses of Cracking Formation $eFracture Morphology and Its Evolution in Engineering Materials and Structures /$fby Yoichi Sumi 205 $a1st ed. 2014. 210 1$aTokyo :$cSpringer Japan :$cImprint: Springer,$d2014. 215 $a1 online resource (285 p.) 225 1 $aMathematics for Industry,$x2198-350X ;$v2 300 $aDescription based upon print version of record. 311 $a1-322-17359-1 311 $a4-431-54934-X 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $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. 330 $aThis book is about the pattern formation and the evolution of crack propagation in engineering materials and structures, bridging mathematical analyses of cracks based on singular integral equations, to computational simulation of engineering design. The first two parts of this book focus on elasticity and fracture and provide the basis for discussions on fracture morphology and its numerical simulation, which may lead to a simulation-based fracture control in engineering structures. Several design concepts are discussed for the prevention of fatigue and fracture in engineering structures, including safe-life design, fail-safe design, damage tolerant design. After starting with basic elasticity and fracture theories in parts one and two, this book focuses on the fracture morphology that develops due to the propagation of brittle cracks or fatigue cracks.   In part three, the mathematical analysis of a curved crack is precisely described, based on the perturbation method. The stability theory of interactive cracks propagating in brittle solids may help readers to understand the formation of a fractal-like cracking patterns in brittle solids, while the stability theory of crack paths helps to identify the straight versus sharply curved or sometimes wavy crack paths observed in brittle solids.  In part four, the numerical simulation method of a system of multiple cracks is introduced by means of the finite element method, which may be used for the better implementation of fracture control in engineering structures. This book is part of a series on ?Mathematics for Industry? and will appeal to structural engineers seeking to understand the basic backgrounds of analyses, but also to mathematicians with an interest in how such mathematical solutions are evaluated in industrial applications. 410 0$aMathematics for Industry,$x2198-350X ;$v2 606 $aMechanics 606 $aMechanics, Applied 606 $aMaterials science 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aMathematical models 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aCharacterization and Evaluation of Materials$3https://scigraph.springernature.com/ontologies/product-market-codes/Z17000 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aMaterials science. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aMathematical models. 615 14$aSolid Mechanics. 615 24$aCharacterization and Evaluation of Materials. 615 24$aClassical Mechanics. 615 24$aMathematical and Computational Engineering. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aSolid Mechanics. 676 $a620.1126 700 $aSumi$b Yoichi$4aut$4http://id.loc.gov/vocabulary/relators/aut$0490921 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299751603321 996 $aMathematical and Computational Analyses of Cracking Formation$92188122 997 $aUNINA