## 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__