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

4

Lab 1: Elastic Behavior in Tension, Bending, Buckling, and Vibration

Handout (PDF)

Data Sheet 1 (PDF)

Data Sheet 2 (PDF)

Data Sheet 3 (PDF)

7

Lab 2: Rate- and Time-dependent Deformation of Polymers

Handout (PDF)

Hysteresis Data (XLS - 1.3 MB)

Stress Relaxation Data (XLS)

10

Lab 3: Sheet Metal Forming: Elastic-plastic Beam Bending

Handout (PDF)

13

Lab 4: Isotropic Linear Elastic Stress Concentration

Handout (PDF)

Plot (M)

Draw (M)

PDE Tool (M)

16

Lab 5: Effect of Heat Treatment on Mechanical Properties of Steels

Handout (PDF)

Tensile Test Data (XLS)

Hardness and Charpy Test Data (PDF)

Additional Data (XLS)

21

Lab 6: Project 1

List 1 (PDF)

List 2 (PDF)

24

Lab 7: Fracture Toughness and Residual Load-carrying Capacity of a Structure

Handout (PDF)

27

Lab 8: Project 2

31

Lab 9: Project 3

34

Lab 10: Project Presentations

37

Lab 11: Course Review (Optional)

6

Homework 1 (PDF)

(PDF)

9

Homework 2 (PDF)

(PDF)

15

Homework 3 (PDF)

(PDF)

23

Homework 4 (PDF)

(PDF)

26

Homework 5 (PDF)

(PDF)

28

Homework 6 (PDF)

(PDF)