This course covers fundamentals of continuum mechanics. Continuum mechanics deals with the mechanics governing the deformation of both solid and fluid objects in nature. Topics of this course starts from mathematical preliminaries for analysis of continuum body such as configuration, vector and tensor analysis. Then, lectures cover fundamentals of strain, stress, constitutive equations, conservation of mass, momentum and energy to derive the governing equations of general continuous bodies. Next, lectures focuse on the analysis of the governing equation for both solid and fluid objects.
At the end of this course, students will be able to:
1) explain the fundamental concept of continuum mechanics applied to both solid and fluid objects in nature.
2) have an understanding of the concepts of finite deformation of bodies, stress, strain, and constitutive equations.
Continuum body, Solid mechanics, Fluid mechanics,Tensor analysis
Intercultural skills | Communication skills | ✔ Specialist skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Towards the end of class, students are given exercise problems related to what is taught on that day to solve.
Course schedule | Required learning | |
---|---|---|
Class 1 | Introduction of continuum mechanics | Exercises to understand the mathematical preliminaries for analysis of continuum bodies |
Class 2 | Strain | Exercises to understand the definitions of strain |
Class 3 | Stress | Exercises to understand the definitions of stress |
Class 4 | Constitutive equations | Exercises to understand the definitions of constitutive equations |
Class 5 | Mass conservation, continuum equations, Newton's laws of motion | Exercises to understand laws of mass conservation, continuum equations, Newton's laws of motion |
Class 6 | The principal of virtual work, law of the conservation of energy | Exercises to understand the principals of virtual work and law of the conservation of energy |
Class 7 | Analysis of various stress field in solids | Exercises to analyze various stress field in solids |
Class 8 | Elastic wave propagation (1D) | Exercises to analyze 1D elastic wave propagation in solids |
Class 9 | Elastic wave propagation (2D) | Exercises to analyze 2D elastic wave propagation in solids |
Class 10 | Fundamentals of potential theory | Exercise to understand the fundamentals of potential theory |
Class 11 | irrotational flow, expression of vortex | Exercise to understand irrotational flow and expression of vortex |
Class 12 | Application of potential theory | Exercise to explain applications of potential theory |
Class 13 | Effect of visocosity | Exercise to explain effect of viscosity. |
Class 14 | Navier-Stokes equations | Exercise to understand Navier-Stokes equations |
Class 15 | Analysis of flow fields | Exercise for analysis of flow fields |
Text book specified by the instructor.
Course materials are provided during class.
Students will be assessed on their understanding of continuum mechanics, solid mechanics and fluid mechanics. Students course scores are based on exams(80%) and exercise problems.
No prerequisites.