IST - Principles of Continuum Mechanics (2024)
Speakers and Syllabus
Detailed Syllabus:
Name of the Speaker |
Number of Lectures |
Syllabus |
Prof. S. K. Tomar |
6 |
Elasticity and Wave Propagation Basic concepts of theory of elasticity: stress, strain and their properties, Hooke’s law and its generalization, symmetry of stress tensor, equation of equilibrium and motion, compatibility conditions, Finite deformation; Waves in uniform elastic medium, Helmholtz decomposition of vector, body waves,boundary conditions, reflections/ refraction phenomena; Surface waves - Rayleigh, Love and stoneley. |
Prof. Peeyush Chandra |
6 |
Fundamental Principles |
Prof. Gopal Chandra Shit |
6 |
Computational Fluid Dynamics (CFD) Need of CFD as tool, role in R&D, CFD Applications. Concept of Finite Difference, Finite difference discretization, Convergence, Consistency, and Stability, Boundary conditions, CFD model formulation, Tridiagonal linear system of equations solver (TDMA/ Thomas Algorithm). Two time-level explicit scheme (Schmidt formula), Crank- Nicolson Implicit scheme and their von-Neumann stability analysis. Solution of one-dimensional wave equation using the Lax scheme, Lax-Wendroff Scheme and their von-Neumann stability analysis, CFL number. |
Dr S. C. |
6 |
Problems of Water Wave Mechanics |
Dr Jitender Singh | 6 | Some Hydrodynamical Problems Hydrodynamics of Rayleigh-Benard convection and Couette- Taylor problem, the mathematics of Boundary layer flows such as the stretching sheet problem. Numerical methods for hydrodynamic and the flow problems: Shooting method, the method of matrix exponentials, homotopy perturbation technique |
Dr Santanu Manna | 6 | Some Non-Elasticity Problems Mohr’s circle diagram: principal stress & strain, Equations of deformation and equilibrium, combability etc. Concept of nonlocal elasticity: dynamic equation of motion, waves of dilatation and distortion, body wave & surface wave, concept of damping and meta-surface. Asymptotic analysis for elasticity problem, explicit models for surface waves, Bleustein-Gulyaev surface waves, comparison of asymptotic approach and analytical approach, hyperbolic- elliptic model of surface wave field. |
Speakers:
- Prof. S. K. Tomar, Professor, Department of Mathematics, Panjab University, Chandigarh (Presently: Vice Chancellor, J. C. Bose University of Science and Technology, YMCA, Faridabad, Haryana).
- Prof. Peeyush Chandra (Rtd), Department of Mathematics, IIT Kanpur.
- Prof. Gopal Chandra Shit, Professor, Department of Mathematics, Jadavpur University, Kolkata.
- Dr. S. C. Martha, Associate Professor, Department of Mathematics, IIT Ropar.
- Dr. Jitender Singh, Associate Professor, Department of Mathematics, Guru Nanak Dev University, Amritsar.
- Dr. Santanu Manna, Associate Professor, Department of Mathematics, IIT Indore
Tutors:
- Dr. Dilbag Singh, Assistant Professor, Department of Mathematics, Panjab University, Chandigarh.
- Dr. Jai Bhagwan, Assistant Professor, Department of Mathematics, Government College, Panipat, Haryana.
- Dr. Manjeet Kumar, Assistant Professor, Department of Mathematics, Dr B R Ambedkar Government College, Dabwali, Haryana.
- Dr. Suraj Kumar, Assistant Professor, Department of Mathematics, Punjab Engineering College (Deemed to be University), Chandigarh.
Time Table
Day |
Date (June 2024) |
L-1 |
10:30-11:00 |
L-2 |
12:30-2:00 |
L-3 |
3:30-4:00 |
Discussion/ Tutorial |
Mon |
_{3}rd |
SKT |
Tea/ Snacks |
PC |
Lunch |
PC |
Tea/ Snacks |
SKT,DS, SK |
Tue |
_{4}th |
SKT |
PC |
PC |
PC, DS, SK |
|||
Wed |
_{5}th |
SKT |
PC |
PC |
PC, DS, SK |
|||
Thu |
_{6}th |
SKT |
SCM |
SCM |
SKT,DS, SK |
|||
Fri |
_{7}th |
SKT |
SCM |
SCM |
SCM,DS, SK |
|||
Sat |
_{8}th |
SKT |
SCM |
SCM |
SCM,DS,SK |
|||
Mon |
_{10}th |
JS |
GCS |
GCS |
JS, JB, MK |
|||
Tue |
_{11}th |
JS |
GCS |
GCS |
GCS,JB, MK |
|||
Wed |
_{12}th |
JS |
GCS |
GCS |
GCS,JB, MK |
|||
Thu |
_{13}th |
JS |
SM |
SM |
JS, JB, MK |
|||
Fri |
_{14}th |
JS |
SM |
SM |
SM, JB, MK |
|||
Sat |
_{15}th |
JS |
SM |
SM |
JS, JB, MK |
*Holiday on Sunday (June 09, 2024)
- SKT-Prof. S. K. Tomar
- PC-Prof. Peeyush Chandra
- GCS-Prof. Gopal Chandra Shit
- SCM-Dr S. C. Martha
- JS-Dr Jitender Singh
- SM-Dr Santanu Manna
- DS- Dr Dilbag Singh
- SK- Dr Suraj Kumar
- JB- Dr Jai Bhagwan
- MK- Dr Manjeet Kumar