Reliability in biomechanics / Ghias Kharmanda, Abdelkhalak El Hami.

Format:

Book

Author/Creator:

Kharmanda, Ghias, author.

El Hami, Abdelkhalak, author.

Series:

THEi Wiley ebooks.

Reliability of Multiphysical Systems Set ; 3

THEi Wiley ebooks

Language:

English

Subjects (All):

Biomechanics.

Physical Description:

1 online resource (271 pages) : illustrations.

Edition:

1st ed.

Place of Publication:

London, [England] ; Hoboken, New Jersey : ISTE : Wiley, 2016.

System Details:

Access using campus network via VPN at home (THEi Users Only).

Summary:

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.

Contents:

Cover

Title Page

Copyright

Contents

Preface

Acknowledgments

Introduction

1. Basic Tools for Reliability Analysis

1.1. Introduction

1.2. Advantages of numerical simulation and optimization

1.3. Numerical simulation by finite elements

1.3.1. Use

1.3.2. Principle

1.3.3. General approach

1.4. Optimization process

1.4.1. Basic concepts

1.4.1.1. Optimization parameters

1.4.1.2. Local or global optimal solutions

1.4.1.3. Simplified algorithm

1.4.2. Problem classification

1.4.2.1. Constraint classification

1.4.2.2. Linearity classification

1.4.2.3. Objective classification

1.4.3. Optimization methods

1.4.4. Unconstrained methods

1.4.4.1. Zero-order methods

1.4.4.2. First-order methods

1.4.4.3. Second-order methods

1.4.5. Constrained methods

1.4.5.1. Direct methods

1.4.5.2. Transformation methods

1.5. Sensitivity analysis

1.5.1. Importance of sensitivity

1.5.2. Sensitivity methods

1.6. Conclusion

2. Reliability Concept

2.1. Introduction

2.1.1. Preamble

2.1.2. Reliability history

2.1.3. Reliability definition

2.1.4. Importance of reliability

2.2. Basic functions and concepts for reliability analysis

2.2.1. Failure concept

2.2.2. Uncertainty concept

2.2.2.1. Intrinsic risks

2.2.2.2. Extrinsic risks

2.2.3. Random variables

2.2.4. Probability density function

2.2.5. Cumulative distribution function

2.2.6. Reliability function

2.3. System reliability

2.3.1. Series conjunction

2.3.2. Parallel conjunction

2.3.3. Mixed conjunction

2.3.4. Delta-star conjunction

2.4. Statistical measures

2.5. Probability distributions

2.5.1. Uniform distribution

2.5.1.1. Probability density function

2.5.1.2. Cumulative distribution function

2.5.1.3. Reliability function

2.5.2. Normal distribution.

2.5.2.1. Probability density function

2.5.2.2. Cumulative distribution function

2.5.2.3. Reliability function

2.5.3. Lognormal distribution

2.5.3.1. Probability density function

2.5.3.2. Cumulative distribution function

2.5.3.3. Reliability function

2.6. Reliability analysis

2.6.1. Definitions

2.6.1.1. Random variables versus deterministic variables

2.6.1.2. Probability of failure

2.6.1.3. Limit state function

2.6.1.4. Design point

2.6.1.5. Reliability index

2.6.2. Algorithms

2.6.3. Reliability analysis methods

2.6.3.1. Monte-Carlo simulation method

2.6.3.2. Approximation methods

2.6.3.3. Response surface methods

2.6.4. Optimality criteria

2.7. Conclusion

3. Integration of Reliability Concept into Biomechanics

3.1. Introduction

3.2. Origin and categories of uncertainties

3.3. Uncertainties in biomechanics

3.3.1. Uncertainty in loading

3.3.2. Uncertainty in geometry

3.3.3. Uncertainty in materials

3.4. Bone-related uncertainty

3.4.1. Bone behavior law

3.4.2. Contribution to the characterization of the bone's mechanical properties

3.5. Bone developments and formulations

3.5.1. Current formulation

3.5.2. Generalized formulation

3.5.3. Optimized formulation

3.5.4. Extension to orthotropic behavior formulation

3.6. Characterization by experimentation of the bone's mechanical properties

3.6.1. Characterization by bending test

3.6.2. Characterization by compression test

3.7. Conclusion

4. Reliability Analysis of Orthopedic Prostheses

4.1. Introduction to orthopedic prostheses

4.1.1. History of prostheses

4.1.2. Evolution of prostheses

4.1.3. Examples of orthopedic prostheses

4.2. Reliability analysis of the intervertebral disk

4.2.1. Functional anatomy

4.2.2. The lumbar functional spinal unit

4.2.2.1. Description.

4.2.2.2. The intervertebral disk

4.2.2.3. The ligaments

4.2.3. Intervertebral disk prosthesis

4.2.4. Numerical application on the intervertebral disk

4.2.4.1. Numerical simulation using finite elements

4.2.4.2. Optimization for the optimal solution

4.2.4.3. Calculation of reliability

4.3. Reliability analysis of the hip prosthesis

4.3.1. Anatomy

4.3.1.1. Different views

4.3.1.2. Articular surfaces of the coxofemoral joint

4.3.1.3. Means of union

4.3.1.4. Muscles enabling hip mobility

4.3.2. Presentation of the total hip prosthesis

4.3.3. Numerical application of the hip prosthesis

4.3.4. Boundary conditions

4.3.5. Direct simulation

4.3.6. Probabilistic sensitivity analysis

4.3.7. Integration of reliability analysis

4.3.7.1. Case 1: Two parameters

4.3.7.2. Case 2: six parameters

4.4. Conclusion

5. Reliability Analysis of Orthodontic Prostheses

5.1. Introduction to orthodontic prostheses

5.2. Anatomy of the temporomandibular joint

5.2.1. Articular bone regions and meniscus

5.2.1.1. Bone structure

5.2.1.2. Meniscus and the articular capsules

5.2.2. Ligaments

5.2.3. Myology, elevator muscles and depressor muscles

5.2.3.1. Elevator muscles

5.2.3.2. Depressor muscles

5.2.3.3. Lateral pterygoid, unclassified

5.3. Numerical simulation of a non-fractured mandible

5.3.1. Description of the studied mandible

5.3.2. Numerical results

5.3.2.1. Case of muscle force exclusion

5.3.2.2. Case of muscle force inclusion

5.4. Reliability analysis of the fixation system of the fractured mandible

5.4.1. Description of a fractured mandible

5.4.2. Fixation strategy using mini-plates

5.4.3. Study of a homogeneous and isotropic structure

5.4.3.1. Model construction

5.4.3.2. Developed algorithm

5.4.3.3. Numerical results.

5.4.4. Study of a composite and orthotropic structure

5.4.4.1. Construction of the model

5.4.4.2. Developed algorithm

5.4.4.3. Numerical result

5.4.5. Result discussion

5.5. Conclusion

Appendices

Appendix 1. Matrix Calculation

A1.1. Linear equations system

A1.2. Addition and subtraction of matrices

A1.3. Scalar multiplication

A1.4. Product of matrices

A1.5. Transpose of a matrix

A1.6. Symmetric matrix

A1.7. Unit matrix

A1.8. Determinant of a matrix

A1.9. Singular matrix

A1.10. Inverse matrix

Appendix 2. ANSYS Code for the Disk Implant

Appendix 3. ANSYS Code for the Stem Implant

Appendix 4. Probability of Failure/Reliability Index

Bibliography

Index

Other titles from in iSTE Mechanical Engineering and Solid Mechanics

EULA.

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9781119370840

1119370841

9781119370871

1119370876

9781119370826

1119370825

OCLC:

962049014