• 學分： (上) 3
• 課程碼： N665500
• 必/選修： 選修
• 授課語言：
• 授課教師： 陳東陽
• 課程大綱：

歷年開課

1. 課程名稱: 複合材料力學
2. 學分數: 3
3. 課程編號:
4. 授課教師: 陳東陽
5. 課程目標:

                        熟悉複合材料力學，異向性彈性力學，傳導行為，微觀力學模式，層板理論，熱效應等。

To introduce the general mechanical and physical concept of composite materials, linking with different length scales. We focus primarily the framework to characterize the overall behavior of the composites in terms of their constituents properties. Mechanical behavior as well as physical properties, such as thermal and electrical or coupled piezoelectric solids are subjects of our contents. Simple classical micromechanical models will be introduced. Some microstructure independent relations for various composite systems under specific deformation modes will be presented as well.

6. 課程內容概要:

(i) Micromechanics of heterogeneous materials in elasticity and conduction: various types of composites, their properties and applications. Procedures for evaluations of overall properties in heterogeneous aggregates, Inclusion problems. Hashin-Shtrikman bounds on overall moduli.

(ii) Macromechanical behavior of laminates: Stress strain relations for plane stress, Classical lamination theory, Bending, buckling and vibration of laminated plates.

(iii) Microstructure-independent relations. Hill’s universal connections, Exact bulk modulus of cubic polycrystals, Exact bulk modulus of composite with equal constant shear rigidities. Levin’s formula.

(iv) Uniform fields and phase transformation strain. Uniform fields in two-phase media, uniform fields in fibrous media, The exact correspondence between mechanical and thermal effects, the exact link between effective thermal expansion coefficients and elastic moduli.

(v) Inelastic behavior of composite materials. Micromechanical models for inelastic behavior, thermoplasticity, experimental results.

7. 成績計算方式:

(a) 1 mid-term exam.                                        33%

      (b) 1 final exam                                                         33%

(c) home-works                            33%

8. 教科書和主要參考書

• Christensen, R. M. 1979, Mechanics of Composite Materials. Wiley.
• Torquato, S. 2001, Random Heterogeneous Materials. Springer.
• Selected papers。

9. 建議先修課程: 彈性力學

10.適合修習對象: 碩博選修