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Campus
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College of E&ME
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Programs
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PG
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Session
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Fall Semester 2016
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Course Title
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Continuum Mechanics
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Course Code
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ME-803
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Credit Hours
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3
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Pre-Requisutes
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nil
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Course Objectives
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This course includes introduction to the concepts and applications of continuum mechanics. Its subject matter can be divided into two main parts: general principles common to all media and constitutive equations defining idealized materials. Mathematically, there are two equivalent forms of the general principles: the integral form, formulated for a finite volume of material in the continuum, and the field equations for differential volume of material (particles) at every point of the field of interest. The second major part of the theory of continuum mechanics concerns the “constitutive equations” that are used to define idealized materials. Idealized materials represent certain aspects of the mechanical behaviors of natural materials.
This course will be the core course for MS Mechanical Engineering for all the specializations.
This course will provide fundamental engineering perspective of both solid mechanics & fluid mechanics. It is a graduate level study of general principles and constitutive. It will provide graduate students fundamental perspective of both solid mechanics & fluid mechanics.
It is taught in the graduate program for mechanical/aerospace/electrical engineering at various international universities, such as Texas A&M University, Virginia Tech, University of Utah, University of Illinois at Urbana-Champaign, and so on.
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Detail Content
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Fundamental understanding of mechanics in continuum regime.
Contents with suggested contact hours
- Introduction to Continuum Mechanics (3 hrs)
- Mathematical Preliminaries (6 hrs)
- Kinematics (6 hrs)
- The Balance Laws, Stress Tensors (9 hrs)
- Constitutive Relation (9 hrs)
- Application in Solid & Fluid Mechanics (12 hrs)
- Details of lab work, workshops practice (if applicable).
Course Outcome:
- To understand the basic concepts of three dimensional continuum mechanics
- To understand the notions of strain and stress tensors
- To be able to write and use the fundamental equations of motions in the framework of three dimensional continuum mechanics
- To understand the problematic of constitutive laws and to solve elementary problems in fluid mechanics and in elasticity
- To be able to implement the general concepts of three dimensional Continuum Mechanics to simple problems in Fluid and Solid Mechanics.
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Text/Ref Books
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- An Introduction to Continuum Mechanics with Applications, by J. N. Reddy, Cambridge University Press, 2008 (ISBN #978-0-521-87044-3).
- Introduction to Continuum Mechanics, Fourth Edition by W. Michael Lai, David Rubin and Erhard Krempl, ISBN: 978-0-7506-8560-3, Elsevier Inc.
- Elements of Continuum Mechanics, by RomeshBatra, American Institute of Aeronautics & Astronautics Education Series.
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Time Schedule
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Faculty/Resource Person
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