Finite Element Analysis for Biomedical Engineering Applications

Z. C. Yang, Z. Yang

• Publisher: CRC Press
• Year: 2019
• Print ISBN: 9780367182182
• eBook ISBN: 9780429590214
• Edition: 1
• Topic: Mathematics
• Subtopic: Biotechnology in Medicine
• Index: Mathematics

Finite element analysis has been widely applied to study biomedical problems. This book aims to simulate some common medical problems using finite element advanced technologies, which establish a base for medical researchers to conduct further investigations.

This book consists of four main parts: (1) bone, (2) soft tissues, (3) joints, and (4) implants. Each part starts with the structure and function of the biology and then follows the corresponding finite element advanced features, such as anisotropic nonlinear material, multidimensional interpolation, XFEM, fiber enhancement, UserHyper, porous media, wear, and crack growth fatigue analysis. The final section presents some specific biomedical problems, such as abdominal aortic aneurysm, intervertebral disc, head impact, knee contact, and SMA cardiovascular stent. All modeling files are attached in the appendixes of the book.

This book will be helpful to graduate students and researchers in the biomedical field who engage in simulations of biomedical problems. The book also provides all readers with a better understanding of current advanced finite element technologies.

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• Details finite element modeling of bone, soft tissues, joints, and implants

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• Presents advanced finite element technologies, such as fiber enhancement, porous media, wear, and crack growth fatigue analysis

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• Discusses specific biomedical problems, such as abdominal aortic aneurysm, intervertebral disc, head impact, knee contact, and SMA cardiovascular stent

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• Explains principles for modeling biology

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• Provides various descriptive modeling files

1

Introduction

Because people are living longer in today’s world, more individuals are dealing with a variety of diseases. Some common diseases are associated with the mechanical states of human organs. For example, hips often break when older people fall, and the lumbar disc degenerates due to excessive loadings over the long term. An abdominal aortic aneurysm (AAA) occurs when the stresses of the AAA wall exceed the strength of the wall tissue. Treatment of these diseases requires an understanding of the stress-states of relevant parts under various conditions. When some parts of the human body degenerate and lose their function, people may have to undergo implant surgeries, such as stent implantation for treatment of atherosclerosis and total knee replacement to regain the walking function. Although these implants can improve the person’s quality of life significantly, they can also raise other issues, such as medial tilting in ankle replacements and fatigue and wear of the liner in hip implants. To solve these issues and improve the medical designs, it is vital to study the mechanical behavior of the implants.

While researchers are testing the mechanical responses of the organs and the implants in the lab, they also emphasize numerical simulations, especially finite element analysis. Since the 1970s, some well-known commercial finite element codes, such as ANSYS, NASTRAN, MARC, ABAQUS, LSDYNA, and COMSOL, have been developed to solve the structural problems. Among them, ANSYS software has the most powerful nonlinear solver, and hence it has become the most widely used software in both academia and industry. Over the past decade, many advanced finite element technologies have been developed in ANSYS. The purpose of this book is to simulate some common medical problems using finite element advanced technologies, which paves a path for medical researchers to perform further studies.

The book consists of four main parts. Each part begins by presenting the structure and function of the biology, and then it introduces the corresponding ANSYS advanced features. The final discussion highlights some specific biomedical problems simulated by ANSYS advanced features.

The topic of Part I is bone. After this introductory chapter, Chapter 2 introduces the structure and material properties of bone. Chapter 3 discusses the nonhomogeneous character of bone, including modeling it by computed tomography (CT) in Section 3.1 and by multidimensional interpolation in Section 3.2. Chapter 4 describes how to build a finite element model of anisotropic bone, and the crack-growth in the microstructure of cortical bone is simulated by eXtended Finite Element Model (XFEM) in Chapter 5.

Part II, which deals with soft tissues, is very detailed. Chapter 6 introduces the structure and material properties of soft tissues like cartilage, ligament, and intervertebral discs (IVDs). Next, Chapter 7 presents the nonlinear behavior of soft tissues and simulation of AAA in ANSYS190. Chapter 8 examines the viscoelasticity of soft tissues, including its application to the study of periodontal ligament creep.

Some soft tissues are enhanced by fibers. Chapter 9 discusses three approaches of fiber enhancement in ANSYS190: (1) standard mesh-dependent fiber enhancement, in which the fibers are created within the regular base mesh; (2) mesh-independent fiber enhancement that creates fibers independent of the base mesh; and (3) the anisotropic material model with fiber enhancement. The first two approaches are utilized to simulate the fibers in the annulus of the intervertebral disc (IVD).

Many nonlinear material models in ANSYS are available for the simulation of soft tissues. If the experimental data of one biological material do not fit any of these models, the researchers may turn to USERMAT in ANSYS. Chapter 10 focuses on the topic of how to develop user material models in ANSYS.

The soft tissues are biphasic, consisting of 30%–70% water. Chapter 11 introduces ways of modeling soft tissues as porous media and the application of biphasic modeling in head impact and IVD creep research.

Part III describes joint simulation. After briefly introducing the structure of joints in Chapter 12, in the next chapter, Section 13.1 defines three contact types in a whole-knee simulation, and a two-dimensional (2D) axisymmetrical poroelastic knee model is built in Section 13.2. Then, the discrete element method of knee joint that is implemented in ANSYS is analyzed in Chapter 14.

Part IV presents a number of implant simulations. Chapter 15 studies the contact of the talar component and the bone to investigate medial tilting in ankle replacement. The stent implantation is simulated in Chapter 16 using the shape memory alloy superelasticity model. The Archard wear model is applied to study the wear of the hip implant in Chapter 17. Chapter 18 predicts the fatigue life of a mini-dental implant using ANSYS SMART technology.

Chapter 19 presents a retrospective look at the entire content of the book. Some guidelines are summarized for the simulation of biomedical problems.

The biomedical problems in this book have been simulated using ANSYS Parametric Design Language (APDL). Reading this book requires knowledge of APDL. To learn APDL, I suggest first reading the ANSYS help documentation and then practice some technical demonstration problems available in this documentation. All APDL input files of the finite element models in the book are provided in the appendixes.

Part I

Bone

An adult human body has 206 separate bones, which generate red and white blood cells, reserve minerals, support the body, and allow mobility. Clinical study of bone indicates that some bone diseases such as osteoporosis and bone surgeries like total hip replacement surgery are associated with the bone, which requires an understanding of the mechanical stresses in human bones. Therefore, Part I focuses on the finite element modeling of bone.

Chapter 2 introduced the structure and material properties of bone. Next, Chapter 3 presented two approaches to study nonhomogeneous bone. The anisotropic bone model was built in Chapter 4, and crack growth in the cortical bone was studied in Chapter 5 using the eXtended Finite Element Method (XFEM).

2

Bone Structure and Material Properties

The material properties of bone are closely associated with bone structure. Therefore, in this chapter, bone structure is introduced first, followed by a description of the material properties of bone.

2.1Bone Structure

Bone consists of both fluid and so...

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Contents
• Preface
• About the Author
• Chapter 1: Introduction
• Part I: Bone
• Part II: Soft Tissues
• Part III: Joints
• Part IV: Simulation of Implants
• Part V: Retrospective
• Appendix 1: Input File of the Multidimensional Interpolation in Section 3.2.2
• Appendix 2: Input File of the Anisotropic Femur Model in Section 4.2
• Appendix 3: Input File of the XFEM Crack-Growth Model in Section 5.2
• Appendix 4: Input File of the Abdominal Aortic Aneurysm Model in Section 7.2
• Appendix 5: Input File of the Periodontal Ligament Creep Model in Section 8.2
• Appendix 6: Input File of the Intervertebral Disc Model with Fiber Enhancement in Section 9.1.2
• Appendix 7: Input File of the Intervertebral Disc Model with Mesh Independent Fiber Enhancement in Section 9.2.2
• Appendix 8: Input File of the Anterior Cruciate Ligament Model in Section 9.3.2
• Appendix 9: Input File of Subroutine UserHyper in Section 10.2
• Appendix 10: Input File of the Head Impact Model in Section 11.2
• Appendix 11: Input File of the Intervertebral Disc Model in Section 11.3
• Appendix 12: Input File of the Knee Contact Model in Section 13.2
• Appendix 13: Input File of the 2D Axisymmetrical Poroelastic Knee Model in Section 13.3
• Appendix 14: Input File of the Discrete Element Model of Knee Joint in Chapter 14
• Appendix 15: Input File of the Material Definition of the Cancellous Bone in Chapter 15
• Appendix 16: Input File of the Stent Implantation Model in Chapter 16
• Appendix 17: Input File of the Wear Model of Hip Replacement in Chapter 17
• Appendix 18: Input File of the Mini Dental Implant Crack-Growth Model in Chapter 18
• Index