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**Course Code**: B52001Y

**Course Name**: Mechanics of materials

**Hours and Credits**: 40/2.0

**Level**: Undergraduate

**Pre-requisite**: Advanced Mathematics, Theoretical Mechanics

**Lecture Time**:

**Instructors**: Ya-Pu Zhao

**Course Description**

The first task of this course is to consolidate the basis, clear the basic concepts and methods through the course; Secondly, in combination with the features ofCollege of Materials Science and Opto-Electronic Technology, University of Chinese Academy of Sciences, this course introduces typical applications of mechanics of materials in the field of nanomaterials and optoelectronic devices, aiming to stimulate the students’ interest in learning and scientific research.

**Topics and Schedule **

1. Basic Conception

1.1 Tasks, objects, methods, brief development history and introduction of widespread application in materials science and optoelectronic technology of mechanics of materials

1.2 Basic assumptions of mechanics of materials: continuity assumption, homogeneity assumption, isotropy assumption, small transmogrification assumption

1.3 Stress, deformation and strain, dimension and dimension analysis, dimension of mechanics of materials related to mechanical parameters

1.4 Material properties, stress-strain curve

1.5 Elastic medium, Hooke’s law, perfectly-elastic material

1.6 Viscoelasticity and creep

2. Tension and Compression

2.1 Tension and compression of bar, stress on an inclined plane, Saint Venant principle

2.2 Stress, deformation and the calculation of strength and stiffness of bar

2.3 Simple truss, simply statically indeterminate problem

2.4 Potential energy of elastic deformation and thermodynamics

2.5 Impact stress

3. Torsion

3.1 Torsion of straight bar with circular cross-section, strength and stiffness calculation of straight bar’s torsion

3.2 Sectional warpage and mechanical analysis of torsion of non-circular cross-sectional straight bar

3.3 Torsion of closed-mouth or open-mouth thin-wall cross-sectional straight bar

3.4 Exercise and discussion

4. Bending Stress

4.1 Internal-shearing forces in bending and bending moment

4.2 Bending stress

4.3 Strength condition and reasonable cross-section of beam

4.4 Composite beam composed of two kinds of materials

5. Bending Deformation

5.1 Assumption of plane cross-section of bending deformation

5.2 Integral of differential and bending equations of curved axis

5.3 Stiffness computation of beam

5.4 Exercise and discussion

6. State of Triaxial Stress

6.1 States of plane and space stress

6.2 Circle of stress

6.3 Deformation of unit and energy of elastic deformation under general condition

6.4 Strength theory

6.5 Exercise and Discussion

7. Structural Analysis and Energy Law

7.1 Virtual work principle

7.2 Reciprocal theorem

7.3 Strain energy and complementary energy

7.4 Strain energy method and complementary energy principle

7.5 Exercise and discussion

8. Stability of Compression Bar

** **8.1 Euler stability of compression bar

8.2 Critical load computation

9. Typical Applications of Mechanics of Materials in the Fields of Nanomaterials and Photoelectric Devices

9.1 Application of mechanics of materials of nano-materials testing

9.2 Residual stress and Stoney equation

9.3 Bending deformation and pull-in of micro-beam under multi-field coupling in the nano-micro system

9.4 Academic communication related to mechanics of materials on the basis of yourself research fields, discussion and mentoring

**Textbooks**

1. You-Quan Yin, Zhen Li, Cheng-Guang Deng. Mechanics of Materials (Revised Edition). Beijing: Peking University Press, 2006.

2. S. Timoshenko, J. Gere. Mechanics of Materials (Legal Unit of Measurement Platemaking). Beijing: Science Press, 1990.

3. J. Gere. Mechanics of Materials (6th Edition). Belmont: Thomson, 2004.

**References**

1. You-Quan Yin, Zhen Li, Cheng-Guang Deng. Mechanics of Materials (Revised Edition). Beijing: Peking University Press, 2006.

2. S. Timoshenko, J. Gere. Mechanics of Materials (Legal Unit of Measurement Platemaking). Beijing: Science Press, 1990.

3. J. Gere. Mechanics of Materials (6th Edition). Belmont: Thomson, 2004.