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This course builds on the fundamentals of solid mechanics taught in MEAM210 and addresses more advanced problems in strength of materials. The students are exposed to a wide array of applications from traditional engineering disciplines as well as emerging areas such as biotechnology and nanotechnology. The methods of analysis developed in this course form the cornerstone of machine design and also more advanced topics in the mechanics of materials.
Text book: 'Mechanics of materials' by Beer,Johnston and DeWolf (5th edition).

This course will start with concepts in linear and non-linear elasticity and move towards more advanced topics such as matensitic materials, atomistic-continuum connections etc. The stress fields around defects such as point defects, dislocations, cracks etc., will be discussed. The course is primarily aimed at graduate students in solid mechanics and materials science.

Text books: There are no prescribed text books for this course. Topics
will be derived from the following books:

(a) 'Theory of elasticity' by Timoshenko and Goodier
(b) 'Intermediate elasticity' by J. R. Barber

This course is targeted to engineering Ph.D. students in all areas. It will focus on the study of linear spaces (both finite and infinite dimensional) and of operators defined on such spaces. Some examples of techniques that will be studied include Fourier series, Green’s functions for ordinary and partial differential operators, eigenvalue problems for ordinary differential equations, singular value decomposition of matrices, etc.

Text books: There are no prescribed text books for this course. Topics
will be derived from the following books:

(a) Boundary value problems of mathematical physics – Vol. 1 by Ivar Stakgold
(b) Principles and techniques of applied mathematics by Bernard Friedman
(c) Applied Linear Algebra (3rd edition) by Ben Noble and James W. Daniel

This course is targeted to engineering students working in the areas of nano/bio technology. The course starts with a quick review of statistical mechanics and proceeds to applications in solution electrostatics (Poisson-Boltzmann equation), mechanics of bio-polymers, reaction rate kinetics, solid state physics and other areas of current technological relevance.

Lecture Notes (pdf files):
Part 1
Part 2
Part 3

Text Books: There is no prescribed text-book for this course. Topics are
drawn from recent research and the following books
(a) 'Biological physics' by Philip C. Nelson
(b) 'Mechanics of the cell' by David Boal
(c) 'States of matter' by David Goodstein

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