## LECTURE

###### Viscoelasticity

Nov 27, 2017

Due date : 2017.12.05

[Homework] #08

Correspondence Theorem - 2 (Creep + Maxwell Model Problems)

Consider a creep vertical load input and Maxwell model.

For SD-1~4, SI-1~4, SIK-1~4 problems, obtain viscoelastic deflection v(x,t) by both H.I method and L.T. method.

Nov 27, 2017

[Handout] - 2

Nov 13, 2017

Due date : 2017.11.28

[Homework] #07

Correspondence Theorem - 1

1. Derive representative viscoelastic deflection v(x,t) by creep J(t) and load q(x,t) by relaxation Y(t) as HI forms for four typical SD examples.

2. Derive representative viscoelastic deflection v(x,t) by creep J(t) and load q(x,t) by relaxation Y(t) as HI forms for four typical SI examples.

3. Derive Laplace transform equations of reaction force R(s) and creep J(s)  for four typical SIK examples.

Nov 06, 2017

Due date : 2017.11.21

[Homework] #06

Deflection of Elastic Beam

1. Derive deflection v(x) for four typical SD examples.

2. Derive deflection v(x) for four typical SI examples.

3. Derive deflection v(x) for four typical SIK examples.

Nov 06, 2017

[Handout] - 1

Nov 02, 2017

Exam date : Nov.10. 3PM

Mid Term

Mid Term

Date: Nov.10. 3PM

Place: 1B-209

Oct 30, 2017

Due date : Before Mid Term

[Homework] #05

Hereditary Integrals

1. Derive all HI equations for J(t) and Y(t) by considering integration by part (IBP) and convolution.

2. Solve the problem Figure 2.3, for Maxwell model by using another IBP form (b).

3. Solve the problem Figure 2.3, for Kelvin model by using another IBP form (a).

4. Solve the problem Figure 2.4 for Kelvin model by using HI equations.

5. Solve the problem Figure 2.4 for Kelvin model by using Laplace transformation.

Oct 09, 2017

Due date : 2017.10.17

[Homework] #04

Creep Compliance and Relaxation Modulus

1. By using Laplace transform, confirm that J(s)*Y(s)=1/s^2 for all models in Table 1.2.

Sep 25, 2017

Due date : 2017.10.10

[Homework] #03

General Model

1. Prove that six connections of springs and dashpots shown in class are meaningless.

2. Confirm that all nonzero coefficients pi and qi in Table 1.3 are correct by considering governing equations.

Sep 18, 2017

Due date : 2017.10.10

[Homework] #02

Three Parameter Models

1. Derive all equations and draw all plots for four behaviors of three parameter solid model.

2. Derive all equations and draw all plots for four behaviors of three parameter fluid model.

Sep 11, 2017

Due date : 2017.09.26

[Homework] #01

Two Basic Viscoelasticity Models & Laplace Transformation

1. Derive all equations by direct integration and draw all plots for four behaviors of Maxwell model.

2. Derive all equations by direct integration and draw all plots for four behaviors of Kelvin model.

3. Derive <L.T.> relationships in Table 1.1. from (1)~(6).

4. Do the same problems as above No. 1 and 2 by Laplace transformation.

Aug 28, 2017

Syllabus - Viscoelasticity

Syllabus - Viscoelasticity