6760-001 Continuum
Mechanics: Solids
MW 03:00PM-04:20PM CSC 10
Instructor:
Professor Andrej Cherkaev
Department of Mathematics
email: cherk@math.utah.edu
phone : +1 801 - 581 6822,
Office JWB 225.
Syllabus
Continuum Mechanics of Solids deals with the mathematical
description of deformations and stresses in solid bodies.
Topics:
- Vectors and tensors, properties and basic
operations;
- Kinematics of deformation; linearization and
strain, stress tensor;
- Energy, conservation laws, constitutive
equations; Linear and nonlinear elasticity;
- Introductory problems in finite and linear
elasticity;
- Thermodynamics; viscous,
and visco-elastic response;
- Topics from the theory of composites and
adaptive materials, intro to optimal designs.
The course is addressed to graduate and advanced
undergraduate students in Applied Mathematics and Engineering.
Textbook: Introduction
to Continuum Mechanics (4th Edition) by W Michael
Lai, David Rubin, Erhard Krempl, Chapters 1- 5.
This book is the most popular text on the subject.
Additional recommended (not required) text is: Schaum's
Outline of Continuum Mechanics (1st Edition) by George Mase
Complementary online sources include
Continuum
Mechanics Lecture Notes on The Mechanics of Elastic Solids by
Rohan Abeyaratne (MIT),
Lecture
Notes by Allan Bower (Brown University),
and other will be posted).
The grade is based on homework assignments
and the (optional) course project.