A Unified Statistical Methodology for Modeling Fatigue Damage by Enrique CastilloA Unified Statistical Methodology for Modeling Fatigue Damage by Enrique Castillo

A Unified Statistical Methodology for Modeling Fatigue Damage

byEnrique Castillo

Paperback | October 19, 2010

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The book gives a unified probabilistic approach to evaluation of fatigue damage, including all steps to be followed, starting with fatigue testing planning, material characterization through lab experiments, model selection, parameter estimation and damage evaluation and life prediction associated with a given stress or strain history. It also treats computer programs to do all the above.In addition, a critical evaluation of existing models based on the new proposed alternative model is one of the main aims of the book, trying to change the minds of engineers involved in design jobs.
Title:A Unified Statistical Methodology for Modeling Fatigue DamageFormat:PaperbackDimensions:248 pages, 9.25 × 6.1 × 0 inPublished:October 19, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048180864

ISBN - 13:9789048180868

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Table of Contents

Introduction and Motivation of the Fatigue Problem An Integrated Overview of Fatigue 1.1 Introduction 1.2 Models with dimensionless variables 1.3 S-N or Wohler curves 1.3.1 Compatibility condition of NlAo and AalN1.3.2 Statistical considerations1.4 E-N curves 1.5 Stress-level effect 1.5.1 Compatibility condition of S-N curves for constant o;T,and S-N curves for constant a&1.6 Crack-growth curves 1.6.1 Crack-growth curves for a constant stress pair T1.6.2 Crack-growth curves for a varying stress pair T1.6.3 Compatibility of crack-growth and S-N models 1.7 Crack-growth rate curves 1.8 Size effect 1.9 Normalization 1.9.1 Percentilebased normalizations 1.9.2 Stress range and lifetimebased normalizations 1.9.3 Extended percentile normalization 1.10 Damage measures and damage accumulation 11 Models Used in the Stress-Based Approach 2 S-N or Wohler Field Models 2.1 Introduction 2.2 Dimensional analysis 2.3 Extreme models in fatigue 2.3.1 The Weibull model 2.3.2 The minimal Gumbel model 2.4 Model for constant stress-level and range 2.4.1 Derivation of the model 2.4.2 Parmeter estimation 2.4.3 Alternative methods for dealing with run-outs 2.5 Model for a given stress-level and varying range 2.5.1 Derivation of the model 2.5.2 Some weaknesses of the proposed model 2.5.3 Parameter estimation2.5.4 Use of the model in practice 2.5.5 Examples of application 2.6 Model for varying stress-level and range 2.7 Dimensional Weibull and Gumbel models 2.8 Properties of the model 2.8.1 Parameter estimation2.8.2 Use of the model in practice 2.8.3 Example of applications 2.9 Concluding remarks 2.10 Appendix A: Derivation of the general model 2.11 Appendix B: S-N curves for the general model 3 Length Effect 3.1 Introduction 3.2 Modeling the S-N field for different lengths 3.2.1 A previous example 3.2.2 General model for different lengths 3.2.3 Parameter estimation 3.3 Examples of applications3.3.1 Prestressing wires3.3.2 Prestressing strands I11 Models Used in the Strain-Based Approach 4 Log-Weibull e-N Model 4.1 Introduction 4.2 Model for a constant strain level and range4.2.1 Practical example 4.3 Model for a varying strain level and range4.4 Converting strain into stress-life curves 4.4.1 Practical example 4.5 Concluding remarksIV Models Used in the Fracture-Mechanics Approach5 Crack-Growth Models 5.1 Introduction and motivation 5.2 Building crack growth models5.3 Crack-growth curves approach I 5.3.1 Crack-growth curves for constant Aa and a5.3.2 Crack-growth curves for varying AD and a5.3.3 Compatibility of crack-growth and S-N models 5.4 crack-growth curves approach I1 5.4.1 crack-growth curves for constant Aa and a;5.4.2 crack-growth curves for varying Aa and a5.4.3 Statistical distributions of aI N and Nla 5.4.4 Learning and estimating the mode1 5.4.5 Compatibility of approaches I and I15.5 Example of application 5.6 Summary and future work V Damage and Damage Accumulation Models 6 Damage Measures 6.1 Introduction6.2 Normalization6.3 Damage measures 6.3.1 Some requirements for a damage measure 6.3.2 Some damage measures6.4 Concluding remarks 7 Damage-Accumulation 7.1 Damage-accumulation7.1.1 Accumulated damage after a constant stress range load step7.1.2 Accumulated damage after block loading 7.1.3 Fatigue under a general loading history 7.1.4 Random loading 7.2 Crack-growth damage for any load history VI Appendices A Models Used in FatigueA.l Introduction A.2 S-Ncurvemodels A.2.1 The Wijhler model A.2.2 The Basquin model A.2.3 The Strohmayer model A.2.4 The Palmgren model A.2.5 The Stiissi model A.2.6 The Weibull modelA.2.7 The Spindel and Haibach model A.2.8 The Kohout and Vechet model A.3 Stress field models A.3.1 The PascuaI and Meeker model A.3.2 The Bastenaire model A.3.3 The Castillo et al . (1985) model A.4 Endurance limit models A.4.1 The upand-down method B Notation Used in This Book Bibliography Index

Editorial Reviews

From the reviews:"This book provides a unified methodology to derive models for fatigue life. . The book gives a new methodology to build-up fatigue models based on a practical knowledge of fatigue problems, combined with common sense, functional equations and statistical methods. . Appendix presents a short description of classical and more recent fatigue models existing in the literature. The proposed models allow simple approaches to be implemented in a practical fatigue design, similar to those employed in current engineering standards." (Razvan Raducanu, Zentralblatt MATH, Vol. 1161, 2009)