ME622A
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INTRODUCTION TO CONTINUUM MECHANICS
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Credits:
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3L-0T-0L-0D (9 Credits)
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Course Content:
The purpose of the course is to expose the students to the basic elements of continuum mechanics in a sufficiently rigorous manner. After attending this course, the students should be able to appreciate a wide variety of advanced courses in solid and fluid mechanics
Lecturewise Breakup (based on 50min per lecture)(total lecture 40)
I. Introduction: (1 Lectures)
II. Mathematical Preliminaries: (6 Lectures)
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Vector and tensor calculus.
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Tensor analysis, derivatives of functions with respect to tensors
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Fields, div, grad, curl
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Divergence theorem, transport theorem
III. Kinematics: (6 Lectures)
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Configurations of a body, displacement, velocity, motion
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Deformation gradient, rotation, stretch, strain, strain rate, spin tensor
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Assumption of small deformation and small strain
IV. Balance laws: (6 Lectures)
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Balances of mass, linear momentum and angular momentum
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Contact forces and the concept of stress.
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Balance of energy and Clausius-Duhem inequalit.
V. Constitutive relation: (12 Lectures)
VI. Viscous fluid: (4 Lectures)
VII. Finite elasticit: (5 Lectures)
References:
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Continuum Mechanics, A. J. M. Spencer
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Continuum Mechanics, P. Chadwick
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An Introduction to Continuum Mechanics, M. E. Gurtin
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ntroduction to the Mechanics of a Continuous Medium, L. E. Malvern
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Continuum Mechanics, C. S. Jog
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