Title Continuum Mechanics
Description Lecture, three hours. Kinematics and dynamics of continuous media. Properties of stress, strain, and rate-of-strain tensors. Conservation laws. Elasticity and viscosity. Heat transfer, boundary layers, and dynamical similarity. S/U or letter grading.
Units 4 units
Course Days Tuesday Thursday
Time 2:00 PM - 3:15 PM
Location Geology 4677
Level Graduate
Course ID 811012200
Type Lecture
Instructor William Newman
Email win@ucla.edu
Phone 310-825-3912


Continuum Mechanics
Fall 2016

Professor William I. Newman, 4640 Geology Building, x5-3912, win@ucla.edu
Lecture Times: Tuesday and Thursday, 2:00{3:50 p.m., 4677 Geology Building
Office Hour: Wednesday at 2:00 and by appointment

This course will provide an introduction to the fundamental ideas and methods of continuum mechanics. The course will be based primarily on the lecture material. We will be using the textbook that I have written Continuum Mechanics in the Earth Sciences published by Cambridge University Press. It should be available at the ASUCLA Bookstore as well as at a substantial discount online. However, students are encouraged to consult other materials which will be available on reserve in the EMS library in the Geology Building. Regular reading assignments will be given. Students will be given a letter grade based on their performance on problem sets, a mid-term examination (tentatively set for October 27 in class) and a final examination (to be held the week of December 5-9, 2016). The course grade will be established with a 10% weight on the mid-term, a 30% weight on the final examination, and a 30% weight on the problem sets, which will be due approximately once every two weeks, and 30% on a "capstone" research project focusing on a topic drawn from the latter topics addressed in the course. No auditing of the lectures by students will be permitted. The "flavor" for this course will be based on the physical and geometrical basis upon which continuum mechanical problems emerge. While much of our focus will be on "solid" mechanics (as appropriate to the solid earth), significant attention will be given to fluid and gas dynamics (as appropriate to planetary atmospheres and interiors).

The topics to be covered, on an approximately week-to-week basis, include:
  1. Essential Mathematics
  2. Stress Principles
  3. Kinematics of Deformation and Motion
  4. Fundamental Laws and Equations
  5. Linear Elasticity Theory and Classical Fluids
  6. Sound Waves, Rotating Systems, and Stability Analysis
  7. Scaling, Bifurcation, and Turbulence
  8. Shock Waves and Dissipative Systems
  9. Numerical Methods
  10. Fracture Mechanics
  11. Some Geophysical Examples