Course11210577060 lectures
Applied Elasticity
Prof. Soham Roychowdhury · IIT Bhubaneshwar
About
This course focuses on the application of elasticity theory in various structural deformation problems. With a brief revisit to the theory of elasticity, the course explores the solution techniques for different solid mechanics problems using the field equations of elasticity for both stress based and displacement based approaches. Special emphasis is given for solving the structures with complex geometries described by both Cartesian and polar coordinates. The course is expected to be useful for the postgraduate course work as well as academic research.
Intended audience: First year postgraduate students of Mechanical Systems Design/Machine Design/ Computational Solid Mechanics/Applied Mechanics specialization, and final year undergraduate students of Mechanical Engineering
Prerequisites: Solid Mechanics/Mechanics of Materials (UG level)
Lectures
Week 1
- Lecture 1 : Tensor Algebra I
- Lecture 2 : Tensor Algebra II
- Lecture 3 : Tensor Algebra III
- Lecture 4 : Tensor Calculus I
- Lecture 5 : Tensor Calculus II
Week 2
- Lecture 6 : Kinematics of Deformation I
- Lecture 7 : Kinematics of Deformation II
- Lecture 8 : Strain Measures I
- Lecture 9 : Strain Measures II
- Lecture 10 : Strain Measures III
Week 3
- Lecture 11 : Stress Measures I
- Lecture 12 : Stress Measures II
- Lecture 13 : Stress Measures III
- Lecture 14 : Balance Laws I
- Lecture 15 : Balance Laws II
week 4
- Lecture 16 : Constitutive Equations I
- Lecture 17 : Constitutive Equations II
- Lecture 18 : Constitutive Equations III
- Lecture 19 : Constitutive Equations IV
- Lecture 20 : Constitutive Equations V
Week 5
- Lecture 21 : Field Equations of Elasticity
- Lecture 22 : Displacement Formulation
- Lecture 23 : Stress Formulation
- Lecture 24 : Elasticity Theorems I
- Lecture 25 : Elasticity Theorems II
Week 6
- Lecture 26 : Two Dimensional Formulation
- Lecture 27 : Plane Stress Formulation
- Lecture 28 : Plane Strain Formulation
- Lecture 29 : Anti-plane Strain and Stress Functions
- Lecture 30 : Stress Functions
Week 7
- Lecture 31 : Bending of Beams I
- Lecture 32 : Bending of Beams II
- Lecture 33 : Bending of Beams III
- Lecture 34 : Bending of Beams IV
- Lecture 35 : Bending of Beams V
Week 8
- Lecture 36 : Torsion Problems I
- Lecture 37 : Torsion Problems II
- Lecture 38 : Torsion Problems III
- Lecture 39 : Torsion Problems IV
- Lecture 40 : Torsion Problems V
Week 9
- Lecture 41 : Field Equations in Polar Coordinates
- Lecture 42 : General Solutions in Polar Coordinates
- Lecture 43 : Thick Cylinder Problems
- Lecture 44 : Bending of Curved Beams I
- Lecture 45 : Bending of Curved Beams II
Week 10
- Lecture 46 : Semi-infinite Domain Problems I
- Lecture 47 : Semi-infinite Domain Problems II
- Lecture 48 : Semi-infinite Domain Problems III
- Lecture 49 : Semi-infinite Domain Problems IV
- Lecture 50 : Semi-infinite Domain Problems V
- Lecture 51 : Semi-infinite Domain Problems VI
Week 11
- Lecture 52 : Stress Concentration Problems I
- Lecture 53 : Stress Concentration Problems II
- Lecture 54 : Notch and Crack Problems
- Lecture 55 : Axisymmetric Problems with Body Force
Week 12
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Bhubaneshwar
- Department
- Mechanical Engineering
- Teacher
- Prof. Soham Roychowdhury
- Level
- Graduate
- Language
- English
- Subjects
- Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Kharagpur.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
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