Lecture Notes

Elasticity and Solid Mechanics
1 Course Outline

Material Behavior under Uniaxial Loading

Displacement and Strain

Stress and Equilibrium

2 Applications: Beam Bending, Buckling and Vibration (PDF 1)

(PDF 2)
3 Mechanisms of Elasticity and Viscoelasticity  
4 Lab 1: Beam Bending, Buckling and Vibration  
5 3-D Linear Thermo-elasticity: Strain-displacement, Stress-strain-temperature, and Stress-equilibrium  (PDF)
6 Simple States of Elastic Stress, Strain, and Displacement 
7 Lab 2: Engineering Polymers: Viscoelasticity, Strength, and Ductility  
8 Limits to Elasticity: Strength and Multi­-axial Yield Condition

Boundary Conditions and Boundary Value Problems
9 Elasticity of Composite Materials
10 Lab 3: Stress Concentration  
Plasticity and Creep
11 Uniaxial Elastic­-plastic Behavior
Elastic-­plastic Beam­-bending
12 Ideal Shear Strength

13 Lab 4: Sheet Bending  
14 Strengthening Mechanisms
Strain Hardening
15 Limit Analysis (PDF)
16 Lab 5: Heat Treatment  
17 Applications of Limit Analysis  
18 Quiz I  
19 High­-temperature Deformation: Creep and Stress Relaxation (PDF 1)

(PDF 2)

(PDF 3)
20 High-temperature Deformation Mechanisms

Resisting Creep
21 Lab 6: Project 1  
22 Ideal Cleavage Strength

Stress Concentration and Cracks 
23 Crack-tip Stress Intensity Factors
Critical Stress Intensity 
24 Lab 7: Fracture Toughness  
25 Linear Elastic Fracture Mechanics (LEFM)  (PDF)
26 Applications of LEFM (PDF)
27 Lab 8: Project 2  
28 Fatigue Crack Propagation
Defect-tolerant Fatigue Design and Maintenance 
29 Defect-free Fatigue Design: High-­cycle Fatigue  (PDF)
30 Defect­-free Fatigue Design: Low-cycle Fatigue  (PDF)
31 Lab 9: Project 3  
32 Applications: Strain-amplitude/Fatigue-life Behavior

Notch Effects in High-cycle Fatigue
Supporting Files

lec23_monocyclicro.m (M)

lec23_notchfatigue.m (M)

lec23_strainlife.m (M)
33 Quiz II   
34 Lab 10: Project Presentations  
Material Selection for Design
35 Principles for Material Selection: Performance, Properties, and Constraints  
36 Optimization

Material Indices of Merit
37 Lab 11: Course Review (Optional)  
38 Final Exam