Syllabus
Review of tensor algebra – tensor analysis – concept of continuum – kinematics of a deformable body – deformation and strain – motion and flow – analysis of stress-stress tensors – conservation laws, mass and momentum conservation – continuum thermodynamics – first and second laws applied to a continuum – Clausius-Duhem inequality – constitutive relations – applications.
Text Books
Same as Reference
References
1. Gurtin, M. E., Fried, E., and Anand, L., The Mechanics and Thermodynamics of Continua, Cambridge Univ. Press (2009).
2. Jog, C. S., The Foundations and Applications of Continuum Mechanics, Narosa Publications (2002).
3. Mase, G. E., Continuum Mechanics, Schaum’s Outline Series, McGraw-Hill (1969).
4. Spencer, A. J. M., Continuum Mechanics, Dover (2004).
5. Malvern, L. E., Introduction to Mechanics of a Continuous Medium, Prentice Hall (1969).
6. Chadwick, P., Continuum Mechanics: Concise Theory and Problems, Dover (1999).