Reliability in Biomechanics

Inbunden, Engelska, 2016

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Beskrivning

In this book, the authors present in detail several recent methodologies and algorithms that we have developed during the last fifteen years. The deterministic methods account for uncertainties through empirical safety factors, which implies that the actual uncertainties in materials, geometry and loading are not truly considered. This problem becomes much more complicated when considering biomechanical applications where a number of uncertainties are encountered in the design of prosthesis systems. This book implements improved numerical strategies and algorithms that can be applied only in biomechanical studies.

Produktinformation

Utgivningsdatum:2016-11-11
Mått:165 x 241 x 23 mm
Vikt:544 g
Format:Inbunden
Språk:Engelska
Antal sidor:272
Förlag:ISTE Ltd and John Wiley & Sons Inc
ISBN:9781786300249

Utforska kategorier

Fysiologi inom Medicin
Biokemisk teknik inom Naturvetenskap och teknik
Maskinteknik och material inom Naturvetenskap och teknik

Mer om författaren

Ghias KHARMANDA, Associate Professor (HDR Europ. Dr Eng). Dr. Abdelkhalak EL HAMI, Laboratoire d'Optimisation et Fiabilité en Mécanique des Structures, LOFIMS, INSA de Rouen, France;

Innehållsförteckning

Preface ixIntroduction xiChapter 1. Basic Tools for Reliability Analysis 11.1. Introduction 11.2. Advantages of numerical simulation and optimization 21.3. Numerical simulation by finite elements 31.3.1. Use 31.3.2. Principle 41.3.3. General approach 51.4. Optimization process 61.4.1. Basic concepts 71.4.2. Problem classification 101.4.3. Optimization methods 221.4.4. Unconstrained methods 231.4.5. Constrained methods 431.5. Sensitivity analysis 561.5.1. Importance of sensitivity 561.5.2. Sensitivity methods 571.6. Conclusion 61Chapter 2. Reliability Concept 632.1. Introduction 632.1.1. Preamble 632.1.2. Reliability history 632.1.3. Reliability definition 652.1.4. Importance of reliability 662.2. Basic functions and concepts for reliability analysis 662.2.1. Failure concept 672.2.2. Uncertainty concept 672.2.3. Random variables 682.2.4. Probability density function 692.2.5. Cumulative distribution function 692.2.6. Reliability function 702.3. System reliability 712.3.1. Series conjunction 712.3.2. Parallel conjunction 722.3.3. Mixed conjunction 732.3.4. Delta-star conjunction 742.4. Statistical measures 772.5. Probability distributions 812.5.1. Uniform distribution 822.5.2. Normal distribution 862.5.3. Lognormal distribution 912.6. Reliability analysis 972.6.1. Definitions 972.6.2. Algorithms 1052.6.3. Reliability analysis methods 1062.6.4. Optimality criteria 1102.7. Conclusion 112Chapter 3. Integration of Reliability Concept into Biomechanics 1133.1. Introduction 1133.2. Origin and categories of uncertainties 1153.3. Uncertainties in biomechanics 1163.3.1. Uncertainty in loading 1173.3.2. Uncertainty in geometry 1183.3.3. Uncertainty in materials 1183.4. Bone-related uncertainty 1193.4.1. Bone behavior law 1203.4.2. Contribution to the characterization of the bone’s mechanical properties 1253.5. Bone developments and formulations 1263.5.1. Current formulation 1263.5.2. Generalized formulation 1273.5.3. Optimized formulation 1283.5.4. Extension to orthotropic behavior formulation 1303.6. Characterization by experimentation of the bone’s mechanical properties 1333.6.1. Characterization by bending test 1343.6.2. Characterization by compression test 1353.7. Conclusion 136Chapter 4. Reliability Analysis of Orthopedic Prostheses 1374.1. Introduction to orthopedic prostheses 1374.1.1. History of prostheses 1394.1.2. Evolution of prostheses 1394.1.3. Examples of orthopedic prostheses 1404.2. Reliability analysis of the intervertebral disk 1404.2.1. Functional anatomy 1404.2.2. The lumbar functional spinal unit 1414.2.3. Intervertebral disk prosthesis 1454.2.4. Numerical application on the intervertebral disk 1474.3. Reliability analysis of the hip prosthesis 1544.3.1. Anatomy 1544.3.2. Presentation of the total hip prosthesis 1584.3.3. Numerical application of the hip prosthesis 1614.3.4. Boundary conditions 1644.3.5. Direct simulation 1644.3.6. Probabilistic sensitivity analysis 1664.3.7. Integration of reliability analysis 1674.4. Conclusion 173Chapter 5. Reliability Analysis of Orthodontic Prostheses 1755.1. Introduction to orthodontic prostheses 1755.2. Anatomy of the temporomandibular joint 1765.2.1. Articular bone regions and meniscus 1775.2.2. Ligaments 1795.2.3. Myology, elevator muscles and depressor muscles 1795.3. Numerical simulation of a non-fractured mandible 1835.3.1. Description of the studied mandible 1835.3.2. Numerical results 1855.4. Reliability analysis of the fixation system of the fractured mandible 1885.4.1. Description of a fractured mandible 1885.4.2. Fixation strategy using mini-plates 1895.4.3. Study of a homogeneous and isotropic structure 1905.4.4. Study of a composite and orthotropic structure 1985.4.5. Result discussion 2075.5. Conclusion 208Appendices 209Appendix 1: Matrix Calculation 211Appendix 2: ANSYS Code for the Disk Implant 217Appendix 3: ANSYS Code for the Stem Implant 221Appendix 4: Probability of Failure/Reliability Index 235Bibliography 237Index 245

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