連體力學
Continuum Mechanics
| 節 | 週四 |
|---|---|
A 18:30–19:20 | 連體力學 EE229（光復） 3 節連堂 |
B 19:30–20:20 | |
C 20:30–21:20 |
* 根據陽明交大上課時間表所列
課程概述與目標: This is an introductory course in the analysis of the kinematics and mechanical behavior of materials on the base of continuum assumption. Specifically, it focuses on the knowledge necessary to model the mechanical behavior of soft tissues, including mathematical preliminaries, kinematics, the concept of stress, balance equations of mass, linear and angular momentum, energy, and entropy, and constitutive equations of hyperelastic solid. The students are expected to learn to: 1. Describe kinematics using Lagrangian and Euler descriptions. 2. Develop a constitutive equation based on fundamental laws. 3. Apply nonlinear elasticity to solve for stress distributions in soft tissues.
Mechanics of Materials, Engineering Mathematics
無備註
Lectures
Homework/quizzes (30%), Midterm exam (30%), and Final exam (40%).
Kinematics
- 講授：
- 9
Principles of stress
- 講授：
- 3
Balance laws
- 講授：
- 6
General constitutive relation
- 講授：
- 3
Hyperelasticity
- 講授：
- 15
Preliminary mathematics
- 講授：
- 15
| 週次 | 主題 |
|---|---|
| 第 1 週 | Motivation |
| 第 2 週 | Preliminary math – Vector and tensor algebra |
| 第 3 週 | Preliminary math – Tensor analysis |
| 第 4 週 | Preliminary math – Tensor analysis |
| 第 5 週 | Kinematics – Motion |
| 第 6 週 | Kinematics – Deformation gradient |
| 第 7 週 | Kinematics – Strain |
| 第 8 週 | Principles of stress |
| 第 9 週 | Midterm |
| 第 10 週 | Balance laws – Mass and momentum |
| 第 11 週 | Balance laws – Energy and entropy |
| 第 12 週 | Constitutive relation – Aspects of objectivity |
| 第 13 週 | Hyperelasticity – General remarks |
| 第 14 週 | Hyperelasticity – Isotropy |
| 第 15 週 | Hyperelasticity – Incompressibility and compressibility |
| 第 16 週 | Hyperelasticity – Strain energy functions |
| 第 17 週 | Hyperelasticity – Transverse isotropy |
| 第 18 週 | Final |
The following references are recommended: 1. Peter Chadwick. Continuum Mechanics: Concise Theory and Problems, Dover, 1999. 2. Gerhard A. Holzapfel. Nonlinear Solid Mechanics, A Continuum Approach for Engineering. John Wiley & Sons, 2000. 3. Jay D. Humphrey. Cardiovascular Solid Mechanics: Cells, Tissues, and Organs. Springer, 2002.
- 地點
- EE467
- 時間
- By appointment
- 聯絡方式
- 03-5712121-55110 or jjhu@mail.nctu.edu.tw