SJTU 2014 Spring
PH349 Physics of Continuous Matter
HOMEWORK 4
5112409018
13 April 2014
1. (Martin H. Sadd, Elasticity: Theory, Applications, and Numerics: Exercise 8.6)
The following stress function
is proposed to solve the problem of a cantilever beam

SJTU 2014 Spring
PH349 Physics of Continuous Matter
HOMEWORK 1
5112409018
13 March 2014
1. (B. Lautrup, Physics of Continuous Matter: Problem 2.8)
Show that (with the normal definition of the matrix product) the following relations make sense for the ten

SJTU 2014 Spring
PH349 Physics of Continuous Matter
Supplement to
HOMEWORK 5
5112409018
25 May 2014
Project 2
Learn a numerical method for Euler equations, and use it to simulate the equations with the initial values
and periodic boundary conditions
Turn

Figure 1: Experimental setup used by Yu, Lauga and Hosoi to study sperm-like swimming. This gure
was taken from their paper: Physics of Fluids, 18, 091701, 2006.
1
Bending of an Elastic Tail Oscillating in a Viscous Fluid
Micro-organisms, such as sperms,

SJTU 2014 Spring
PH349 Physics of Continuous Matter
HOMEWORK 7
5112409018
25 June 2014
[Project]
Bending of an Elastic Tail Oscillating in a Viscous Fluid
Micro-organisms, such as sperms, propel themselves in a viscous fluid by propagating b ending waves

SJTU 2014 Spring
PH349 Physics of Continuous Matter
HOMEWORK 5
5112409018
25 May 2014
Exercises for Chapter 1
Exercise 2. A general deformation can be decomposed into two rotations, a dilation, and two
elongations. (SVD decomposition: a general matrix ca

SJTU 2014 Spring
PH349
Physics of Continuous Matter
HOMEWORK 3
5112409018
6 April 2014
1. Use Simple Beam theory to find the deformation and stress fields in a cantilever beam with a length of L under
uniform loading and simple support on the right side,

SJTU 2014 Spring
PH349 Physics of Continuous Matter
HOMEWORK 2
5112409018
24 March 2014
1. (Martin H. Sadd, Elasticity: Theory, Applications, and Numerics: Exercise 2.1)
Determine the strain and rotation tensors
and
for the following displacement fields

M15/4/PHYSI/SP2/ENG/TZ2/XX/M
Markscheme
May 2015
Physics
Standard level
Paper 2
12 pages
2
M15/4/PHYSI/SP2/ENG/TZ2/XX/M
This markscheme is the property of the International Baccalaureate and
must not be reproduced or distributed to any other person
withou