Fracture Mechanics 1
Home > Science, Technology & Agriculture > Mechanical engineering and materials > Production and industrial engineering > Reliability engineering > Fracture Mechanics 1: Analysis of Reliability and Quality Control
Fracture Mechanics 1: Analysis of Reliability and Quality Control

Fracture Mechanics 1: Analysis of Reliability and Quality Control


     0     
5
4
3
2
1



Available


X
About the Book

This first book of a 3-volume set on Fracture Mechanics is mainly centered on the vast range of the laws of statistical distributions encountered in various scientific and technical fields. These laws are indispensable in understanding the probability behavior of components and mechanical structures that are exploited in the other volumes of this series, which are dedicated to reliability and quality control. The author presents not only the laws of distribution of various models but also the tests of adequacy suited to confirm or counter the hypothesis of the law in question, namely the Pearson (x2) test, the Kolmogorov-Smirnov (KS) test, along with many other relevant tests. This book distinguishes itself from other works in the field through its originality in presenting an educational approach which aims at helping practitioners both in academia and industry. It is intended for technicians, engineers, designers, students, and teachers working in the fields of engineering and vocational education. The main objective of the author is to provide an assessment of indicators of quality and reliability to aid in decision-making. To this end, an intuitive and practical approach, based on mathematical rigor, is recommended.

Table of Contents:
Preface ix Chapter 1. Elements of Analysis of Reliability and Quality Control  1 1.1. Introduction 1 1.1.1. The importance of true physical acceleration life models (accelerated tests = true acceleration or acceleration)  3 1.1.2. Expression for linear acceleration relationships 4 1.2. Fundamental expression of the calculation of reliability 5 1.3. Continuous uniform distribution 9 1.3.1. Distribution function of probabilities (density of probability)  10 1.3.2. Distribution function 10 1.4. Discrete uniform distribution (discrete U)  12 1.5. Triangular distribution 13 1.5.1. Discrete triangular distribution version  13 1.5.2. Continuous triangular law version  14 1.5.3. Links with uniform distribution  14 1.6. Beta distribution 15 1.6.1. Function of probability density  16 1.6.2. Distribution function of cumulative probability 18 1.6.3. Estimation of the parameters (p, q) of the beta distribution  19 1.6.4. Distribution associated with beta distribution 20 1.7. Normal distribution 20 1.7.1. Arithmetic mean 20 1.7.2. Reliability 22 1.7.3. Stabilization and normalization of variance error  23 1.8. Log-normal distribution (Galton)  28 1.9. The Gumbel distribution 28 1.9.1. Random variable according to the Gumbel distribution (CRV, E1 Maximum)  29 1.9.2. Random variable according to the Gumbel distribution (CRV E1 Minimum) 30 1.10. The Frechet distribution (E2 Max)  31 1.11. The Weibull distribution (with three parameters) 32 1.12. The Weibull distribution (with two parameters)  35 1.12.1. Description and common formulae for the Weibull distribution and its derivatives 37 1.12.2. Areas where the extreme value distribution model can be used 39 1.12.3. Risk model 40 1.12.4. Products of damage 41 1.13. The Birnbaum–Saunders distribution  42 1.13.1. Derivation and use of the Birnbaum–Saunders model 43 1.14. The Cauchy distribution 45 1.14.1. Probability density function  45 1.14.2. Risk function  48 1.14.3. Cumulative risk function  48 1.14.4. Survival function (reliability) 49 1.14.5. Inverse survival function  49 1.15. Rayleigh distribution 50 1.16. The Rice distribution (from the Rayleigh distribution) 52 1.17. The Tukey-lambda distribution 53 1.18. Student’s (t) distribution 55 1.18.1. t-Student’s inverse cumulative function law (T)  57 1.19. Chi-square distribution law (χ2)  57 1.19.1. Probability distribution function of chi-square law (χ2) 57 1.19.2. Probability distribution function of chi-square law (χ2) 58 1.20. Exponential distribution 59 1.20.1. Example of applying mechanics to component lifespan 63 1.21. Double exponential distribution (Laplace)  66 1.21.1. Estimation of the parameters  66 1.21.2. Probability density function  66 1.21.3. Cumulated distribution probability function 67 1.22. Bernoulli distribution 68 1.23. Binomial distribution 71 1.24. Polynomial distribution 75 1.25. Geometrical distribution 75 1.25.1. Hypergeometric distribution (the Pascal distribution) versus binomial distribution  76 1.26. Hypergeometric distribution (the Pascal distribution) 78 1.27. Poisson distribution 80 1.28. Gamma distribution 81 1.29. Inverse gamma distribution 85 1.30. Distribution function (inverse gamma distribution probability density) 85 1.31. Erlang distribution (characteristic of gamma distribution, Γ)  85 1.32. Logistic distribution 89 1.33. Log-logistic distribution 91 1.33.1. Mathematical–statistical characteristics of log-logistic distribution 91 1.33.2. Moment properties 92 1.34. Fisher distribution (F-distribution or Fisher–Snedecor)  92 1.35. Analysis of component lifespan (or survival) 95 1.36. Partial conclusion of Chapter 1 96 1.37. Bibliography 97 Chapter 2. Estimates, Testing Adjustments and Testing the Adequacy of Statistical Distributions 99 2.1. Introduction to assessment and statistical tests 99 2.1.1. Estimation of parameters of a distribution 100 2.1.2. Estimation by confidence interval 102 2.1.3. Properties of an estimator with and without bias  103 2.2. Method of moments 106 2.3. Method of maximum likelihood 106 2.3.1. Estimation of maximum likelihood  107 2.3.2. Probability equation of reliability-censored data 108 2.3.3. Punctual estimation of exponential law  109 2.3.4. Estimation of the Weibull distribution  110 2.3.5. Punctual estimation of normal distribution 111 2.4. Moving least-squares method  113 2.4.1. General criterion: the LSC  114 2.4.2. Examples of nonlinear models 118 2.4.3. Example of a more complex process  122 2.5. Conformity tests: adjustment and adequacy tests  123 2.5.1. Model of the hypothesis test for adequacy and adjustment  125 2.5.2. Kolmogorov–Smirnov Test (KS 1930 and 1936)  126 2.5.3. Simulated test (1st application)  131 2.5.4. Simulated test (2nd application)  131 2.5.5. Example 1 132 2.5.6. Example 2 (Weibull or not?)  135 2.5.7. Cramer–Von Mises (CVM) test  139 2.5.8. The Anderson–Darling test 140 2.5.9. Shapiro–Wilk test of normality  145 2.5.10. Adequacy test of chi-square (χ2) 145 2.6. Accelerated testing method 151 2.6.1. Multi-censored tests 152 2.6.2. Example of the exponential model  152 2.6.3. Example of the Weibull model  152 2.6.4. Example for the log–normal model  153 2.6.5. Example of the extreme value distribution model (E-MIN) 153 2.6.6. Example of the study on the Weibull distribution  154 2.6.7. Example of the BOX–COX model  156 2.7. Trend tests 157 2.7.1. A unilateral test 158 2.7.2. The military handbook test (from the US Army)  160 2.7.3. The Laplace test  160 2.7.4. Homogenous Poisson Process (HPP)  160 2.8. Duane model power law 164 2.9. Chi-Square test for the correlation quantity  166 2.9.1. Estimations and χ2 test to determine the confidence interval 167 2.9.2. t_test of normal mean  170 2.9.3. Standard error of the estimated difference, s  171 2.10. Chebyshev’s inequality 171 2.11. Estimation of parameters 173 2.12. Gaussian distribution: estimation and confidence interval 174 2.12.1. Confidence interval estimation for a Gauss distribution 175 2.12.2. Reading to help the statistical values tabulated 175 2.12.3. Calculations to help the statistical formulae appropriate to normal distribution 175 2.12.4. Estimation of the Gaussian mean of unknown variance 175 2.13. Kaplan–Meier estimator 178 2.13.1. Empirical model using the Kaplan–Meier approach 179 2.13.2. General expression of the KM estimator 180 2.13.3. Application of the ordinary and modified Kaplan–Meier estimator 181 2.14. Case study of an interpolation using the bi-dimensional spline function 181 2.15. Conclusion 183 2.16. Bibliography 184 Chapter 3. Modeling Uncertainty 187 3.1. Introduction to errors and uncertainty 187 3.2. Definition of uncertainties and errors as in the ISO norm 189 3.3. Definition of errors and uncertainty in metrology 191 3.3.1. Difference between error and uncertainty 192 3.4. Global error and its uncertainty 202 3.5. Definitions of simplified equations of measurement uncertainty 204 3.5.1. Expansion factor k and range of relative uncertainty 206 3.5.2. Determination of type A and B uncertainties according to GUM 208 3.6. Principal of uncertainty calculations of type A and type B 229 3.6.1. Standard and expanded uncertainties  231 3.6.2. Components of type A and type B uncertainties 232 3.6.3. Error on repeated measurements: composed uncertainty 232 3.7. Study of the basics with the help of the GUMic software package: quasi-linear model 239 3.8. Conclusion 245 3.9. Bibliography 245 Glossary  249 Index 257

About the Author :
Ammar Grous is Teacher of Mechanical Engineering at CéGEP de l'Outaouais (Academic College), Gatineau, Quebec, Canada.


Best Sellers


Product Details
  • ISBN-13: 9781848214408
  • Publisher: ISTE Ltd and John Wiley & Sons Inc
  • Publisher Imprint: ISTE Ltd and John Wiley & Sons Inc
  • Height: 241 mm
  • No of Pages: 272
  • Returnable: N
  • Sub Title: Analysis of Reliability and Quality Control
  • Width: 163 mm
  • ISBN-10: 1848214405
  • Publisher Date: 18 Dec 2012
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Spine Width: 28 mm
  • Weight: 594 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Fracture Mechanics 1: Analysis of Reliability and Quality Control
ISTE Ltd and John Wiley & Sons Inc -
Fracture Mechanics 1: Analysis of Reliability and Quality Control
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Fracture Mechanics 1: Analysis of Reliability and Quality Control

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!