Biomechanics: Concepts and Computation

Hardcover (Print)
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Overview

This is the first textbook that integrates both general and specific topics, theoretical background and biomedical engineering applications, as well as analytical and numerical approaches. This quantitative approach integrates the classical concepts of mechanics and computational modelling techniques, in a logical progression through a wide range of fundamental biomechanics principles. Online MATLAB-based software along with examples and problems using biomedical applications will motivate undergraduate biomedical engineering students to practice and test their skills. The book covers topics such as kinematics, equilibrium, stresses and strains, and also focuses on large deformations and rotations and non-linear constitutive equations, including visco-elastic behaviour and the behaviour of long slender fibre-like structures. This is the definitive textbook for students.
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Editorial Reviews

From the Publisher
Review of the hardback: 'Biomechanics: Concepts and Computation is one of the most important textbooks written in the field of biomechanical education.' Amit Gefen, v

Review of the hardback: 'This text does an outstanding job of covering both the core and advanced topics of biomechanics that are appropriate to both undergraduate and beginning graduate biomedical engineering education … I strongly recommend this text to any biomedical engineering problem offering a concentration/track in biomechanics.' Robert Spilker, Professor of Biomedical Engineering and Chair, RPI, USA

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Product Details

Meet the Author

Cees Oomens is Associate Professor in Biomechanics and Continuum Mechanics at the Eindhoven University of Technology, The Netherlands. He has lectured on many different courses ranging from basic courses in continuum mechanics at a Bachelor level, to courses on mechanical properties of materials and advanced courses in computational modelling at Masters and post graduate level. His current research focuses on damage and adaptation of soft biological tissues, with emphasis on skeletal muscle tissue and skin.

Marcel Brekelmans is Associate Professor in Continuum Mechanics at the Eindhoven University of Technology. Since 1998 he has also lectured in the Biomedical Engineering Faculty at the University; here his teaching addresses continuum mechanics, basic level and numerical analysis. He has published a considerable number of papers in well-known journals, and his research interests in continuum mechanics include the modelling of history-dependent material behaviour (plasticity, damage and fracture) in forming processes.

Frank Baaijens is Full Professor in Soft Tissue Biomechanics & Tissue Engineering at the Eindhoven University of Technology, where he has also been a part-time Professor in the Polymer Group of the Division of Computational and Experimental Mechanics since
1990. He is currently Scientific Director of the national research program on BioMedical Materials (BMM), and his research focuses on soft tissue biomechanics and tissue engineering.

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Table of Contents

1 Vector calculus 1

2 The concepts of force and moment 10

3 Static equilibrium 37

4 The mechanical behaviour of fibres 50

5 Fibres: time-dependent behaviour 69

6 Analysis of a one-dimensional continuous elastic medium 99

7 Biological materials and continuum mechanics 114

8 Stress in three-dimensional continuous media 132

9 Motion: the time as an extra dimension 156

10 Deformation and rotation, deformation rate and spin 170

11 Local balance of mass, momentum and energy 186

12 Constitutive modelling of solids and fluids 194

13 Solution strategies for solid and fluid mechanics problems 210

14 Solution of the one-dimensional diffusion equation by means of the Finite Element Method 232

15 Solution of the one-dimensional convection-diffusion equation by means of the Finite Element Method 264

16 Solution of the three-dimensional convection-diffusion equation by means of the Finite Element Method 277

17 Shape functions and numerical integration 295

18 Infinitesimal strain elasticity problems 313

References 329

Index 331

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