• 學分： (上) 3
• 課程碼： N680500
• 必/選修： 2
• 授課語言： 2
• 授課教師： 林育芸
• 課程大綱：

歷年開課

課程目標：

使學生了解如何建立連體(包含固體及流體)之數學模式與如何將此數學模式應用於物理問題。

課程內容概要：

1. Mathematical preliminaries: Vectors and Cartesian tensors

2. Kinematics of a continuum: Deformation gradient, Polar decomposition theorem, Material description and spatial description of motion.

3. Balance laws of mechanics: Conservation of mass, Linear momentum balance, Angular momentum balance.

4. Stress: Cauchy’s theorem of stress, Piola-Kirchhoff (Nominal) stress

5. Material constitutive laws for Solids and Fluids: Material objectivity, Material symmetry, Constitutive equations of isotropic and anisotropic solids. Elastic inviscid fluid, Newtonian fluids, Neohookean materials.

6. Fluid Mechanics: Incompressible fluids, Incompressibility condition, Navier-Stokes equation, Reynolds number and some simple examples.

7. Solid Mechanics: Simple problems of linear elasticity and rubber elasticity.

成績計算方式：

1. Homework.............................................................................40%

2. Midterm Exam.......................................................................30%

3. Final Exam............................................................................30%

教科書或主要參考書：

1. “A First Course in Continuum Mechanics”, Y.C. Fung.

2. “An Introduction to Continuum Mechanics”, M. E. Gurtin.

3. “Non-linear Elastic Deformation”, R.W. Ogden.

適合選修對象：

D.丁組博碩學生