Course info

課程大綱(Course Outline)

課程概述： 

1. 黏彈性的行為：阻尼、潛變與鬆弛 
2. 黏彈性的力學元件
3. 常微分方程式組成律和初始條件 
4. 積分方程式組成律
5. 記憶衰退 
6. 鬆弛譜和遲緩譜
7. 遲滯、因果關係、儲能模數和損耗模數 
8. 對應原理和應力分析.
9. 分數階微分方程式組成律 
10. 10.黏彈性力學分析在固體力學、生物力學與結構力學應用

The general topics to be covered:

1. The behavior of viscoelasticity: damping, creep, and relaxation
2. Mechanical element of viscoelasticity
3. Constitutions of ordinary-differential-equation type and the initial conditions
4. Constitutions of integral type
5. Fading memory
6. Relaxation spectra and retardation spectra
7. Hysteresis, causality, storage modulus, and loss modulus 
8. Corresponding theorem and stress analysis
9. Constitutions of differential with fractional order
10. Applications to the fields of structural mechanics, solid mechanics, and bio-mechanics