LEADER 04033nam 2200589 450 001 9910131618303321 005 20230807221806.0 010 $a3-527-67198-6 010 $a3-527-67196-X 010 $a3-527-67199-4 035 $a(CKB)3710000000468968 035 $a(EBL)4042474 035 $a(MiAaPQ)EBC4042474 035 $a(Au-PeEL)EBL4042474 035 $a(CaPaEBR)ebr11093786 035 $a(CaONFJC)MIL826464 035 $a(OCoLC)919317934 035 $a(EXLCZ)993710000000468968 100 $a20151104h20152015 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 14$aThe fiber bundle model $emodeling failure in materials /$fAlex Hansen, Per C. Hemmer, and Srutarshi Pradhan 210 1$aWeinheim, Germany :$cWiley-VCH,$d2015. 210 4$dİ2015 215 $a1 online resource (295 p.) 225 1 $aStatistical Physics of Fracture and Breakdown 300 $aDescription based upon print version of record. 311 $a3-527-41214-X 320 $aIncludes bibliographical references and index. 327 $a""Related Titles""; ""Title Page""; ""Copyright""; ""Table of Contents""; ""Series Page""; ""Preface""; ""Chapter 1: The Fiber Bundle Model""; ""1.1 Rivets Versus Welding""; ""1.2 Fracture and Failure: A Short Summary""; ""1.3 The Fiber Bundle Model in Statistics""; ""1.4 The Fiber Bundle Model in Physics""; ""1.5 The Fiber Bundle Model in Materials Science""; ""1.6 Structure of the Book""; ""Chapter 2: Average Properties""; ""2.1 Equal Load Sharing versus Local Load Sharing""; ""2.2 Strain-Controlled versus Force-Controlled Experiments""; ""2.3 The Critical Strength""; ""2.4 Fiber Mixtures"" 327 $a""2.5 Non-Hookean Forces""""Chapter 3: Fluctuation Effects""; ""3.1 Range of Force Fluctuations""; ""3.2 The Maximum Bundle Strength""; ""3.3 Avalanches""; ""Chapter 4: Local and Intermediate Load Sharing""; ""4.1 The Local-Load-Sharing Model""; ""4.2 Local Load Sharing in Two and More Dimensions""; ""4.3 The Soft Membrane Model""; ""4.4 Intermediate-Load-Sharing Models""; ""4.5 Elastic Medium Anchoring""; ""Chapter 5: Recursive Breaking Dynamics""; ""5.1 Recursion and Fixed Points""; ""5.2 Recursive Dynamics Near the Critical Point""; ""Chapter 6: Predicting Failure"" 327 $a""6.1 Crossover Phenomena""""6.2 Variation of Average Burst Size""; ""6.3 Failure Dynamics Under Force-Controlled Loading""; ""6.4 Over-Loaded Situations""; ""Chapter 7: Fiber Bundle Model in Material Science""; ""7.1 Repeated Damage and Work Hardening""; ""7.2 Creep Failure""; ""7.3 Viscoelastic Creep""; ""7.4 Fatigue Failure""; ""7.5 Thermally Induced Failure""; ""7.6 Noise-Induced Failure""; ""7.7 Crushing: The Pillar Model""; ""Chapter 8: Snow Avalanches and Landslides""; ""8.1 Snow Avalanches""; ""8.2 Shallow Landslides""; ""Appendix A: Mathematical Toolbox"" 327 $a""A.1 Lagrange's Inversion Theorem""""A.2 Some Theorems in Combinatorics""; ""A.3 Biased Random Walks""; ""A.4 An Asymmetrical Unbiased Random Walk""; ""A.5 Brownian Motion as a Scaled Random Walk""; ""Appendix B: Statistical Toolbox""; ""B.1 Stochastic Variables, Statistical Distributions""; ""B.2 Order Statistics""; ""B.3 The Joint Probability Distribution""; ""Appendix C: Computational Toolbox""; ""C.1 Generating Random Numbers Following a Specified Probability Distribution""; ""C.2 Fourier Acceleration""; ""References""; ""Index""; ""End User License Agreement"" 410 0$aStatistical physics of fracture and breakdown. 606 $aFiber bundles (Mathematics) 606 $aFracture mechanics 615 0$aFiber bundles (Mathematics) 615 0$aFracture mechanics. 676 $a514.224 700 $aHansen$b Alex$053703 702 $aHemmer$b Per C. 702 $aPradhan$b Srutarshi 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910131618303321 996 $aThe fiber bundle model$91956542 997 $aUNINA