Department of Mechanical & Industrial EngineeringcoretheorySem 4
INTRODUCTION TO CONTINUUM MECHANICS FOR ENGINEERS
MIE 4402
Syllabus
- 01Introduction and Mathematical Preliminaries: Solids and fluids as continuous media, Tensors, Dummy indices, Kronecker delta, Index notation, Tensor algebra, Divergence and Curl Theorems
- 02Kinematics of Continua: Bodies, configurations, and motions, Deformation gradient tensor, Strain measures, Strain-Rate Tensor, Spin, Infinitesimal Deformation
- 03The Balance Laws, Stress Tensors: Transformation of stress tensors under the rotation of axes, Plane stress, Deviatoric stress, von-Mises stress
- 04Isothermal Solid Mechanics: Elasticity equations, Initial and boundary value problems, Virtual work theorem, Uniqueness and reciprocal theorem, Constitutive relations for linearly and nonlinearly elastic solids
- 05Isothermal Fluid Mechanics: Ideal fluids, Newtonian viscous fluids, Incompressible case, Navier Stokes equations, Applications to fluid mechanics problems
References
- Batra R. C., Elements of Continuum Mechanics, American Institute of Aeronautics and Astronautics, 2006
- Chaves E. W. V., Notes on Continuum Mechanics, Springer Science & Business Media, 2013
- Gonzalez O., and Stuart A. M., A First Course in Continuum Mechanics, Cambridge University Press, 2008
- Holzapfel G. A., Nonlinear Solid Mechanics: A Continuum Approach for Engineering, John Wiley & Sons, 2000
- Nair S., Introduction to Continuum Mechanics, Cambridge University Press, 2009
- Reddy J., An Introduction to Continuum Mechanics, 2nd ed., Cambridge University Press, 2013
- Spencer A. J. M., Continuum Mechanics, Dover Publications, 2012
Credits Structure
3Lecture
0Tutorial
0Practical
3Total