2.002 | Spring 2004 | Undergraduate

Mechanics and Materials II

Lecture Notes

SES # TOPICS LECTURE NOTES
Elasticity and Solid Mechanics
1

Course Outline

Material Behavior under Uniaxial Loading

Displacement and Strain

Stress and Equilibrium

Stress-­strain

 
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  (PDF)
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

Applications

(PDF)
10 Lab 3: Stress Concentration  
Plasticity and Creep
11

Uniaxial Elastic­-plastic Behavior 

Elastic-­plastic Beam­-bending

(PDF)
12

Ideal Shear Strength

Dislocations

 
13 Lab 4: Sheet Bending  
14

Strengthening Mechanisms 

Strain Hardening

(PDF)
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

(PDF)
21 Lab 6: Project 1  
Fracture
22

Ideal Cleavage Strength

Stress Concentration and Cracks 

 
23

Crack-tip Stress Intensity Factors

Critical Stress Intensity 

(PDF)
24 Lab 7: Fracture Toughness  
25 Linear Elastic Fracture Mechanics (LEFM)  (PDF)
26 Applications of LEFM (PDF)
27 Lab 8: Project 2  
Fatigue
28

Fatigue Crack Propagation

Defect-tolerant Fatigue Design and Maintenance 

(PDF)
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  

Course Info

As Taught In
Spring 2004
Learning Resource Types
Problem Sets with Solutions
Exams with Solutions
Lecture Notes