Basic Finite Element Method as Applied to Injury Biomechanics provides a unique introduction to finite element methods. Unlike other books on the topic, this comprehensive reference teaches readers to develop a finite element model from the beginning, including all the appropriate theories that are needed throughout the model development process.
In addition, the book focuses on how to apply material properties and loading conditions to the model, how to arrange the information in the order of head, neck, upper torso and upper extremity, lower torso and pelvis and lower extremity. The book covers scaling from one body size to the other, parametric modeling and joint positioning, and is an ideal text for teaching, further reading and for its unique application to injury biomechanics.
With over 25 years of experience of developing finite element models, the author's experience with tissue level injury threshold instead of external loading conditions provides a guide to the "do’s and dont's" of using finite element method to study injury biomechanics.
1. Chapter 1. Introduction - p. 3 2. 1.1. Finite Element Method and Analysis - p. 3 3. 1.2. Calculation of Strain and Stress From the FE Model - p. 7 4. 1.3. Sample Matrix Structural Analysis - p. 21 5. 1.4. From MSA to a Finite Element Model - p. 44 6. Chapter 2. Meshing, Element Types, and Element Shape Functions - p. 51 7. 2.1. Structure Idealization and Discretization - p. 51 8. 2.2. Node - p. 55 9. 2.3. Element - p. 56 10. 2.4. Formation of Finite Element Mesh - p. 67 11. 2.5. Element Shape Functions and [B] Matrix - p. 69 12. Chapter 3. Isoparametric Formulation and Mesh Quality - p. 111 13. 3.1. Introduction - p. 111 14. 3.2. Natural Coordinate System - p. 111 15. 3.3. Isoparametric Formulation of 1D Elements - p. 112 16. 3.4. Isoparametric Formulation of 2D Element - p. 121 17. 3.5. Isoparametric Formulation of 3D Element - p. 128 18. 3.6. Transfer Mapping Function for 2D Element - p. 131 19. 3.7. Jacobian Matrix and Determinant of Jacobian Matrix - p. 133 20. 3.8. Element Quality (Jacobian, Warpage, Aspect Ratio, etc.) - p. 137 21. 3.9. Saint-Venant Principle and Patch Test - p. 145 22. Chapter 4. Element Stiffness Matrix - p. 151 23. 4.1. Introduction - p. 151 24. 4.2. Direct Method - p. 152 25. 4.3. Strong Formulation - p. 163 26. 4.4. Weak Formulation - p. 165 27. 4.5. Derive Element Stiffness Matrix From Shape Functions - p. 183 28. 4.6. Method of Superposition - p. 201 29. 4.7. Coordinate Transformation - p. 203 30. 4.8. Chapter Summary Using a Numerical Example - p. 216 31. Chapter 5. Material Laws and Properties - p. 231 32. Chapter 6. Prescribing Boundary and Loading Conditions to Corresponding Nodes - p. 257 33. Chapter 7. Stepping Through Finite Element Analysis - p. 281 34. Chapter 8. Modal and Transient Dynamic Analysis - p. 309 35. 8.1. Introduction - p. 309 36. 8.2. Element Mass Matrix - p. 310 37. 8.3. Modal Analysis - p. 320 38. 8.4. Damping - p. 355 39. 8.5. Direct Integration Methods - p. 362 40. 8.6. Implicit and Explicit Solvers - p. 376 41. Part 2. Modeling Human Body for Injury Biomechanics Analysis - p. 382 42. Introduction - p. 383 43. Introduction - p. 385 44. Chapter 9. Developing FE Human Models From Medical Images - p. 389 45. Chapter 10. Parametric Human Modeling - p. 417 46. Chapter 11. Modeling Passive and Active Muscles - p. 447 47. Chapter 12. Modeling the Head for Impact Scenarios - p. 469 48. Chapter 13. Modeling the Neck for Impact Scenarios - p. 503 49. Chapter 14. Modeling the Thorax for Impact Scenarios - p. 539 50. Chapter 15. Modeling the Lower Torso for Impact Scenarios - p. 585 51. Chapter 16. Modeling the Spine and Upper and Lower Extremities for Impact Scenarios - p. 609 52. Chapter 17. Modeling of Vulnerable Subjects - p. 655 53. Chapter 18. Modeling of Blast Wave and Its Effect on the Human/Animal Body - p. 689 54. Concluding Remarks - p. 703 55. Index - p. 707
Basic Finite Element Method as Applied to Injury Biomechanics provides a unique introduction to finite element methods. Unlike other books on the topic, this comprehensive reference teaches readers to develop a finite element model from the beginning, including all the appropriate theories that are needed throughout the model development process.
In addition, the book focuses on how to apply material properties and loading conditions to the model, how to arrange the information in the order of head, neck, upper torso and upper extremity, lower torso and pelvis and lower extremity. The book covers scaling from one body size to the other, parametric modeling and joint positioning, and is an ideal text for teaching, further reading and for its unique application to injury biomechanics.
With over 25 years of experience of developing finite element models, the author's experience with tissue level injury threshold instead of external loading conditions provides a guide to the "do’s and dont's" of using finite element method to study injury biomechanics.
1. Chapter 1. Introduction - p. 3 2. 1.1. Finite Element Method and Analysis - p. 3 3. 1.2. Calculation of Strain and Stress From the FE Model - p. 7 4. 1.3. Sample Matrix Structural Analysis - p. 21 5. 1.4. From MSA to a Finite Element Model - p. 44 6. Chapter 2. Meshing, Element Types, and Element Shape Functions - p. 51 7. 2.1. Structure Idealization and Discretization - p. 51 8. 2.2. Node - p. 55 9. 2.3. Element - p. 56 10. 2.4. Formation of Finite Element Mesh - p. 67 11. 2.5. Element Shape Functions and [B] Matrix - p. 69 12. Chapter 3. Isoparametric Formulation and Mesh Quality - p. 111 13. 3.1. Introduction - p. 111 14. 3.2. Natural Coordinate System - p. 111 15. 3.3. Isoparametric Formulation of 1D Elements - p. 112 16. 3.4. Isoparametric Formulation of 2D Element - p. 121 17. 3.5. Isoparametric Formulation of 3D Element - p. 128 18. 3.6. Transfer Mapping Function for 2D Element - p. 131 19. 3.7. Jacobian Matrix and Determinant of Jacobian Matrix - p. 133 20. 3.8. Element Quality (Jacobian, Warpage, Aspect Ratio, etc.) - p. 137 21. 3.9. Saint-Venant Principle and Patch Test - p. 145 22. Chapter 4. Element Stiffness Matrix - p. 151 23. 4.1. Introduction - p. 151 24. 4.2. Direct Method - p. 152 25. 4.3. Strong Formulation - p. 163 26. 4.4. Weak Formulation - p. 165 27. 4.5. Derive Element Stiffness Matrix From Shape Functions - p. 183 28. 4.6. Method of Superposition - p. 201 29. 4.7. Coordinate Transformation - p. 203 30. 4.8. Chapter Summary Using a Numerical Example - p. 216 31. Chapter 5. Material Laws and Properties - p. 231 32. Chapter 6. Prescribing Boundary and Loading Conditions to Corresponding Nodes - p. 257 33. Chapter 7. Stepping Through Finite Element Analysis - p. 281 34. Chapter 8. Modal and Transient Dynamic Analysis - p. 309 35. 8.1. Introduction - p. 309 36. 8.2. Element Mass Matrix - p. 310 37. 8.3. Modal Analysis - p. 320 38. 8.4. Damping - p. 355 39. 8.5. Direct Integration Methods - p. 362 40. 8.6. Implicit and Explicit Solvers - p. 376 41. Part 2. Modeling Human Body for Injury Biomechanics Analysis - p. 382 42. Introduction - p. 383 43. Introduction - p. 385 44. Chapter 9. Developing FE Human Models From Medical Images - p. 389 45. Chapter 10. Parametric Human Modeling - p. 417 46. Chapter 11. Modeling Passive and Active Muscles - p. 447 47. Chapter 12. Modeling the Head for Impact Scenarios - p. 469 48. Chapter 13. Modeling the Neck for Impact Scenarios - p. 503 49. Chapter 14. Modeling the Thorax for Impact Scenarios - p. 539 50. Chapter 15. Modeling the Lower Torso for Impact Scenarios - p. 585 51. Chapter 16. Modeling the Spine and Upper and Lower Extremities for Impact Scenarios - p. 609 52. Chapter 17. Modeling of Vulnerable Subjects - p. 655 53. Chapter 18. Modeling of Blast Wave and Its Effect on the Human/Animal Body - p. 689 54. Concluding Remarks - p. 703 55. Index - p. 707
