Course plan M.Tech

Course Code: ME 572

Course Name: Advanced Engineering Materials

Instructor: Dr. Sanjib Banerjee

1. Abstract:

The course offers the basic details of advanced and Non-conventional engineering materials.

The general topics like crystallography, category of materials, Structure-property correlation,

microstructure and mechanical properties will be covered first as basics.

The classification, properties and applications of different ferrous and non-ferrous advanced

materials, viz. piezoelectric materials, shape memory alloys, smart materials and composite

materials and their applications, Micro-electro-mechanical systems (MEMS), materials for

high temperature, and Powder metallurgy technique shall be covered.

A general idea given on selection of materials, materials aspects, cost and manufacturing

considerations, as well as applications of materials to automobile and transport vehicles,

aerospace, power generation, armament, marine environment and ocean structures, materials

for other specialized applications.

The significance of the course lies on the in depth knowledge in advanced engineering

materials, where advanced manufacturing technology initiates with the selection of materials.

2. Objective:

a. To give detailed knowledge in advanced engineering materials.

b. To increase interest on advanced materials and advanced manufacturing technology.

c. To understand the criteria for selection of materials during design and advanced

manufacturing for specialized applications.

3. Prerequisites of the course:

Basic knowledge on Physics, Material science and Manufacturing technology is

preferable.

1. Course outline:

Advanced materials for engineering applications, engineering materials - metals,

polymers, composites and ceramics;

Structure-property correlation - role of crystal structure, substructure and

microstructure on material properties;

High performance structural metallic alloys and their applications, surface

engineering of materials and their applications;

Piezoelectric materials, shape memory alloys, smart materials and composite

materials and their applications;

Micro-electro-mechanical systems (MEMS) - characteristics of materials for MEMS

applications and manufacturing techniques for MEMS components;

Materials for high temperature applications - various alloys and composites, diffusion

bond coating;

Powder metallurgy; Selection of materials - materials aspects, cost and manufacturing

considerations;

Applications of materials to automobile and transport vehicles, aerospace, power

generation, armament, marine environment and ocean structures, materials for other

specialized applications; Assignment and mini-project.

2. (a) Time-Plan

Topic Content

Contact

Hours

L T

Advanced materials for engineering applications, engineering

materials - metals, polymers, composites and ceramics; 5

Structure-property correlation - role of crystal structure, substructure

and microstructure on material properties; 5

High performance structural metallic alloys and their applications,

surface engineering of materials and their applications; 5

Piezoelectric materials, shape memory alloys, smart materials and

composite materials and their applications; 5

Micro-electro-mechanical systems (MEMS) - characteristics of

materials for MEMS applications and manufacturing techniques for

MEMS components;

5

Materials for high temperature applications - various alloys and

composites, diffusion bond coating; 5

Powder metallurgy; Selection of materials - materials aspects, cost

and manufacturing considerations; 5

Applications of materials to automobile and transport vehicles,

aerospace, power generation, armament, marine environment and

ocean structures, materials for other specialized applications;

Assignment and mini-project.

5

Total contact hours 40

Text Books:

Calister, W.D. Material Science and Engineering - An Introduction (John Wiley & sons, 1997)

Rajput, R.K. Material Science and Engineering (S. K. Kataria & Sons, 2008)

Reference Books:

Gandhi, M.V. and Thompson, B.S. Smart Materials and Structures (Chapman and Hall, 1992)

Otsuka, K. and Wayman, C.M. Shape Memory Materials (Cambridge University Press, 1999)

Taylor, W. Pizoelectricity (Taylor & Francis, 1985)

Mallick, P.K. Fiber Reinforced Composites Materials, Manufacturing and Design (Marcel Dekker,

1993)

5. (b) Evaluation Plan:

Test No. Marks Duration

(minutes)

I 25 30

II

(Term paper/ Group task/ Field work/ Mini project) 25 --

III (Major I) 40 60

IV (Assignment type) 25 -

V 25 30

Major II 60 120

Total Marks 200

All the tests will be held as per the schedule notified by the Controller of

Examinations, Tezpur University

6. Pedagogy:

Students should visualize the advanced materials aspects and expertise in material selection

for different advanced manufacturing applications.

3. Expected outcome:

Towards the end of the course the student would be able to:

a. Gain detailed knowledge on advanced materials, their properties and applications.

b. Prepare them for advanced manufacturing technology.

c. Initiate project based on material characterization.

d. Can correlate material selection with design considerations and advanced

manufacturing technology.

Course Code: ME 542

Course Name: Computational Fluid Dynamics

Instructor: Paragmoni Kalita

1. Abstract:

ME542 is a departmental elective course offered for the M.Tech. programme in

Mechanical Engineering (Specialization: Applied Mechanics). The course starts with a

review of the governing equations of fluid dynamics followed by the mathematical

classification of these equations. It then covers different techniques to discretize the

governing equations for their numerical solutions, the issues of consistency, stability and

convergence and some special numerical methods to solve the inviscid and viscous fluid

flow equations.

2. Objectives:

The course shall be taught with the following objectives:

i. To revise the governing equations of fluid dynamics

ii. To train the students on the discretization techniques for the numerical solution of

the governing equations

iii.To familiarize with the critical issues of numerical consistency, stability, convergence and

discretization errors

iv.To teach the finite difference and finite volume techniques for numerical solutions of the

fluid flow problems

v. To train the students to numerically solve the fluid flow problems with the help of

programming

vi.To acquaint the students with the research scopes in the field of computational

fluid dynamics

3. Prerequisites of the course:

Elementary knowledge of Fluid Mechanics and Mathematics will be helpful for this course.

4. Course outline:

General form of a conservation law; The Navier-Stokes (NS) equation; The inviscid flow

model: Euler equations; Steady inviscid rotational flow; Mathematical nature of PDE’s and

flow equations. Basic Discretization techniques in Finite Difference Method (FDM),

Consistency; Stability; Convergence; Fourier or von Neumann stability analysis; Modified

equation; Application of FDM to wave, Heat, Laplace and Burgers equations, Integration

methods for systems of ODE’s, Linear Solver, Introduction to Finite Volume Methods,

Numerical solution of the Euler equations, Mathematical formulation of the system of

Euler equations; Numerical solution of the incompressible Navier-Stokes equations,

Course plan for Computational Fluid Dynamics (ME 542)

5. (a) Time-Plan

Topic Content Book

Class

Hours

L T

The basic equations of

Fluid Dynamics:

General form of a conservation

law;

Equation of mass conservation [AJ] 2 1

Conservation laws of momentum;

Conservation equation of energy

The dynamic levels of

approximation

The Navier-Stokes (NS) equation,

The Reynolds-averaged NS

equations

[TAP]

1

1

The thin layer NS approximation;

The parabolised NS approximation 1

The inviscid flow model: Euler

equations; Steady inviscid

rotational flow

1

1

Mathematical nature of PDE’s and

flow equations 2

Basic discretization

techniques

in Finite Difference Method

(FDM)

Explicit and Compact Schemes for

spatial

discretization [AJ]

2 1

Central and Upwind Schemes 1 1

Analysis and applications of

numerical schemes

Consistency; Stability;

Convergence

[TAP]

2

1 Modified equation 1

Fourier or von Neumann stability

analysis 1

Application of von Neumann

stability analysis to wave, Heat,

Laplace and Burgers equations

2 1

Integration methods for

systems

of ODE’s

Explicit and Implicit Methods

[TAP]

1

1 Multi-step methods 1

Predictor-corrector schemes 1

ADI methods 1 1

The Runge-Kutta schemes 1

Introduction to Finite

Volume Methods

Finite Volume Discretization of

Time

Derivative

[TAP]

1

1 Finite Volume Discretization of the

Convective Term 1

Finite Volume Discretization of the

Dissipative Term 1

Numerical solutions of the

Euler equations

Space-centred schemes [TAP] 1

3 Upwind schemes for the Euler

equations– Steger and Warming

flux

3

vector splitting; van Leer flux

vector splitting and Roe’s flux

difference splitting

Shock tube problem 1

Numerical solutions of the

incompressible Navier

Stokes equations

Stream function-vorticity

formulation

[FP]

1

1 Primitive variable formulation 1

staggered and collocated grids 2

MAC, SMAC, SIMPLE,

SIMPLER and

SIMPLEC algorithms

5 1

Lid-driven cavity flow. 1

Total Classes

39L + 13 T =

52

Books:

[TAP] Computational Fluid Mechanics and Heat Transfer 2e- Tannehill, Anderson and

Pletcher, Taylor and Francis, 1997.

[AJ] Computational Fluid Dynamics – J.D.Anderson, Jr., McGraw-Hill International Edition,

1995.

Reference:

[VM] An introduction to computational fluid dynamics: The finite volume method - H.K.

Versteeg and W. Malalasekera, Longman, 1995

[SVP] Numerical Heat Transfer and Fluid Flow - S.V. Patankar, Hemisphere, 1980.

[CH1] Numerical Computation of Internal and External Flows, Vol.1 (1988) – Charles

Hirsch, John Wiley & Sons

[CH2]Numerical Computation of Internal and External Flows, Vol.2 (1990) – Charles Hirsch,

John Wiley & Sons

[FP] Computational Methods for Fluid Dynamics- J. H. Ferziger, M. Peric, Springer, 2002

5. (b) Evaluation Plan:

Test No. Marks Duration

(minutes)

I 25 30

II

(Term paper/ Group task/ Field work/ Mini project) 25 --

III (Major I) 40 60

IV (Assignment type) 25 -

V 25 30

Major II 60 120

Total Marks 200

All the tests will be held as per the schedule notified by the Controller of Examinations,

Tezpur University

3. Pedagogy:

Teaching-learning methods to be used:

Lecture and Discussion

Presentations

Assignment problems,

Class Tests/Quiz

7. Expected outcome: Towards the end of the course the student would be able to

i. Achieve finite difference approximations of partial derivatives to specified orders of

accuracy.

ii. Discretize the governing equations of fluid mechanics and heat transfer on finite

difference and finite volume frameworks.

iii. Carry out linear stability analysis of various numerical schemes for solving PDEs

governing fluid flow and heat transfer.

iv. Solve a system of discrete linear algebraic equations using iterative solvers.

v. Write computer codes to solve basic fluid flow and heat transfer problems using

numerical methods and use appropriate post-processing methods for analyzing the

solutions.

vi. Appreciate the challenges and identify scopes of further research in the field of

computational fluid dynamics.

Course Code: ME539 (Elective)

Course Name: Optimization Techniques in Engineering

Course Structure (L-T-P-CH-Cr): 3-0-0-3-3

Instructor: Prof. Dilip Datta

1. Abstract:

This is a course on optimization, mainly for handling single-objective optimization problems

in continuous and convex search space. Both exact and numerical approaches for solving

unconstrained and constrained as well as linear and nonlinear problems are discussed in

detail. Some specialized techniques for solving problems in discrete space are also included

in the curriculum. Further, some non-traditional techniques are also introduced emphasizing

their applicability in complex cases including multi-objective optimization problems.

2. Objective: The main objective of the course is to impart knowledge to students on

selection and application of appropriate classical optimization methods for handling different

classes of optimization problems in both continuous and discrete search space. Some non-

traditional techniques are also introduced emphasizing their potentialities over the classical

optimization methods.

3. Prerequisite of the Course:Being inter-disciplinary in nature, the course can be opted by

any student having good mathematical background, as well as some computer programming

knowledge/skill.

4. Course Outline + Suggested Reading:

Modul

e Topic

1 Introduction to optimization.

2 Exact methods for optimizing unconstrained functions.

3 Exact methods for optimizing constrained functions.

4 Numerical methods for optimizing unconstrained single-variable functions.

5 Numerical methods for optimizing unconstrained multi-variable functions.

6 Numerical methods for optimizing constrained functions.

7 Integer/discrete programming problems.

8 Non-traditional techniques for optimization.

Suggested Reading:

a) K. Deb. Optimization for Engineering Design: Algorithms and Examples. PHI, 2/e, 2012.

b) J.S. Arora. Introduction to Optimum Design. Elsevier, 3/e, 2012.

5. Time and Evaluation Plans:

(a) Time Plan

SN Contents L

1

Introduction to optimization: What is optimization; optimization problem

formu

lation; basic terminologies design variable, objective function, constraint,

local

and global optimization, convex and non-convex search space, feasible and

infea

sible design, descent and feasible direction.

2

2

Exact methods for unconstrained functions: Conditions for optimizing

continuous

single-variable functions and their proof; conditions for optimizing

continuous

multi-variable functions.

3

3

Exact methods for constrained functions: Nonlinear problems Kuhn-Tucker

conditions, sensitivity analysis; linear programming problems simplex

methods.

7

4

Numerical methods for unconstrained single-variable functions: Direct

search methods { bracketing and refining an optimum point; gradient-based

methods.

3

5

Numerical methods for unconstrained multi-variable functions: Direct search

methods; gradient-based methods function derivatives through numerical

methods, descent direction, unidirectional search.

7

6

Numerical methods for constrained functions: Direct search methods;

transformation (penalty function) methods; linearized search techniques;

feasible direction method; quadratic programming.

10

7 Integer/discrete programming problems: Penalty function method; branch-

and bound method. 3

8 Non-traditional techniques: Introduction to genetic algorithm, differential

evolution, and particle swarm optimization 10

Total

contact

hours

45

(b) Evaluation Plan

SN Component Marks Time Period

1 Test I 25 30 minutes Within February 11, 2017

2 Test II 25 30 minutes Within March 04, 2017

3 Test III (Major

I) 40 1 hour March 20{24, 2017

4 Test IV 25 Assignment

type Within April 12, 2017

5 Test V 25 30 minutes Within May 05, 2017

6 Major II 60 2 hours May 29 { June 02, 2017

Total 200

6. Pedagogy:

(a) Teaching-learning methods will be adopted in a way to support discussion on each

module by some hands-on for better understanding.

(b) Learning of students will be evaluated through computer assignments, class test/quiz, and

examinations.

(c) Teaching of the instructor will be evaluated by students through a questionnaire.

7. Expected Outcome:

On completion of the course, students will learn how to select and apply appropriate

optimization techniques to different classes of optimization problems.

Course Code:ME 530

Course Name: Numerical Methods

Instructor:Prof. (Dr.) Tapan Kumar Gogoi

Lecture Plan:

Lecture+Practical

(Tentative)

Topics

1 Introduction:

Preliminary discussion about the importance of the subject and its utility

in solving engineering problems

4+2 Roots of single-variable nonlinear equation:

Bracketing methods, bisection method, false position method, fixed point

iteration, Netwon-Raphson method and secant method

4+2 Roots of singe-variable polynomials: Polynomial deflation, Bairstow’s

method and Muller method

4+2 Numerical solution of nonlinear equations:

Fixed point iteration, Newton’s method, Jacobian matrix and Seidel

iteration

4+3 Linear system of equations:

Direct Methods: Gauss elimination, Gauss-Jordan method, matrix

inversion, LU decomposition

Iterative methods: Gauss-Seidel, Jacobi, Relaxation methods

2 Eigenvalues and eigenvectors:

Direct power method, inverse power method and shifted power method

3+1 Similarity transformation:

QR decomposition with Householder transformation

6+2 Ordinary differential equations:

Euler and Runge-Kutta methods for initial value problem, shooting and

finite difference methods for boundary value problems, predictor-

corrector method, eigenvalue problems, solution of boundary layer

equations using Newton Raphson method and 4th order Runge-kutta

Method

4+2 Partial differential equations (PDEs):

Classification of PDEs and their characteristics, parabolic, elliptic and

hyperbolic equations, Numerical solution of parabolic, elliptic and

hyperbolic equations.

Evaluation Scheme:

Test (Type A)

1. Test-I 25

2. Test-II 25

3. Test-III 40

4. Test IV 25

5. Test-V 25

Semester End Examination 60

Pedagogy:

Teaching-learning methods to be used: Lecture, practical and discussion on regular basis

Presentations

Class tests, assignments

Expected outcome:

The goal of this course is to introduce some of the most important and basic numerical

algorithms that are used in practical computations. Students after attending this course will be

able to (i) find root of single variable nonlinear algebraic equations and polynomials, (ii)

perform numerical differentiation and integration (iii) solve linear system of equations using

different numerical technique and (iv) obtain solution of ordinary and partial differential

equations. The laboratory component include computer programming of the various methods

described and also some other assignments through which students will be able to acquire the

skill of writing computer programs/codes on numerical algorithms and solving real life

problems related to thermal engineering.

Textbooks

1. C.F. Gerald and P.O. Wheatley, Applied Numerical Analysis, Fifth edition, Addison-

Wesley, 1994

2. S.D. Conte and C. de Boor, Elementary Numerical Analysis, Third Edition, Tata McGraw-

Hill Education, 2005.

3. F.B. Hildebrand, Introduction to Numerical Analysis, Second (Revised) Edition, Courier

Dover Publications, 1987.

References

1. E. Kreyszig, Advanced Engineering Mathematics, Tenth Ed., John Wiley and Sons, 2010

2. R. L. Burden and J. D. Faires, Numerical Analysis, 9th Edition, Brooks/Cole, 2011

Course Code: ME 502

Course Name: Finite Element Methods

Instructor: Polash Pratim Dutta, Asst. Professor, Department of Mechanical

Engineering,

Phone: +91 3712275856, Email: polashd@tezu.ernet.in

Abstract: Finite element (FE) method is an advanced approach to solve the real life

engineering problems with mathematical formulation. Any physical problem which can be

modelled mathematically with its governing equation and boundary condition can be solved

using FE method. Unlike conventional method FE method has significant advantages for

dealing with real life complex problems in engineering.

Objectives: The main objectives of this course are –

To understand different steps and approaches to solve a problem using FE method

To know the behaviour and uses of different types of elements.

To find the solution in many points as much as we want of an object by

discretizing the object.

To solve for different real life engineering problem of any dimensions (1D, 2D

and 3D).

To understand the use of computer to solve complex problem along with applied

boundary conditions using FE method.

Prerequisites of the course: None

Lecture plan:

Sl

.

Topics Contents L+T

1.

Introduction,

calculus

variation and

different

methods

Historical background, Basic concept of the finite element

method, Boundary conditions, Strain displacement relations,

stress-strain relations, Potential energy and equilibrium,

Rayleigh-Ritz method, Galerkin’s method. Matrix algebra,

Solution of equations, Gaussian elimination, Conjugate

gradient method.

7+1

2.

One

dimensional

problem

One dimensional problems, Coordinates and shape functions,

Potential energy approach, Galerkin approach, Assembly of

global stiffness matrix, Load vector, Properties of stiffness

matrix, Finite element equations and treatment of boundary

conditions. Quadratic shape functions.

.

8+2

3. Truss

problems

Solution of truss problems, Plane truss and three dimensional

truss, Assembly of global stiffness matrix for banded and

skyline solutions 5+1

4.

Two

dimensional

problem

Two dimensional problems using constant strain triangles,

Two dimensional isoparametric elements, Four nodded

quadrilateral elements, Numerical integration, Higher order

elements, Eight nodded quadrilateral, Nine nodded

quadrilateral, Six nodded triangular elements.

7+1

5. Beam and

frame

problem

Axisymmetric formulations, Finite element formulations of

beam problems

4+1

Total number of class: 40+10=50

Evaluation plan:

(i) Four class tests (One assignment type) = (25×4=) 100 Marks (Time: 30 minutes)

(ii) Major-I (Mid-Sem) = 40 Marks (Time: 1 Hour)

(iii) Major-II (End-Sem) = 60 Marks (Time: 2 Hours)

Pedagogy: Lecture and discussion, Class tests, Tutorials, Mini-project.

Expected outcome: Towards the end of the course the student would be able to

Learn effective and advanced approach to deal with real life challenging complex

engineering problems.

To model and analysis of any structural problem.

Validate a FE model with other techniques by interpreting and evaluating the

quality of the results.

Solve any structural problem by simulating the same using any commercial

software (ANSYS) before experimental study.

Estimate the accuracy of the FE solutions.

References

1. Chandrupatla TR and Belegundu AD (2002). Introduction to Finite Elements in

Engineering, Prentice Hall.

2. Dixit US (2009). Finite Element Methods for Engineers, Cengage Learning.

References

1. Reddy JN (2006). An introduction to the Finite Element Method, McGraw-Hill.

2. Cook RD, Malkus DS and Plesha ME (2007). Concepts and Applications of Finite

Element Analysis, Wiley.

3. Zienkiewicz C and Taylor RL (1989). The Finite Element Method, McGraw-Hill.

4. Bathe KJ (1996). Finite Element Procedures in Engineering Analysis, Prentice Hall

6. Three

dimensional

problem

Three dimensional problems in stress analysis, Finite element

formulation, Stress calculation.

5+1

7. Miscellaneou

s topics

Dynamic analysis, Finite element formulation, Element mass

matrix, Evaluation of eigenvalues and eigenvectors

4+1

8.

Problem

solving:

ANSYS

Step by step modelling and solution of a structural problem

using FE commercial software package - ANSYS

0+2

Course Code: ME 506

Course Name: Theory of Elasticity and Plasticity

Instructor: Shiekh Mustafa Kamal

Abstract This is a postgraduate course aimed towards providing strong conceptual foundations to understand the elastic as well as the plastic behaviour of solids under given applied loads.Several important formulations of elasticity and plasticity theory will be developed, which are of much practical use in current industrial applications. The course is divided into two parts. In the first part, the course deals with the theory of elasticity. The second part of the course covers the theory of plasticity. The course begins with an introduction to the general theory of elasticity with assumptions and applications of linear elasticity. Analysis of stress, stress tensors, three dimensional stress and strain system, the elastic constants, equilibrium equations and compatibility equations will be discussed in detail. Stress function will be used to solve the equilibrium and compatibility equations for 2-D problems. Next, students will be introduced with the concept of plastic deformation using simple ideas and familiar examples. The basic understanding of Yield criterion and associated flow rules, slip line filed theory will be provided. Further, the application of plasticity in the analysis of metal forming processes will be discussed. MATLAB will be used to solve numerical problems. 2. Objectives:

To introduce theoretical fundamentals of theory of elasticity and plasticity.

To be able to use the principles of the theory of elasticity and plasticity in engineering problems.

To analyze the basic elasto-plastic problems associated with different processes practiced in the present day industries. 3. Prerequisite of the course: Solid Mechanics (ME 201) and Advanced Solid Mechanics (ME 501) 4. Course Outline and Time Plan Sl. No. Topics Contents L

1 Introduction Introduction to the general theory of elasticity

Assumptions of linear elasticity

Applications of linear elasticity 2 2 Analysis of Stress and Strain Stress tensors, three-dimensional state of stress at a point, principal stresses in two and three dimensions, stress invariants Transformation of stresses, equilibrium equations, octahedral stresses, construction of Mohr Circle for two and three dimensional stress systems Equilibrium equations in polar

coordinates for two-dimensional state of stresses. General state of stress in threedimensions in cylindrical coordinate system. Types of strain, strain tensors, strain transformation, Principal strains, equations of compatibility for Strain Numerical examples. 6 4 Stress-Strain Relations Generalised Hooke's law Strain energy in an elastic body, St. Venant's principle. 2 5 Two Dimensional Problems in Cartesian Coordinate System

Plane stress and plane strain problems

Stress function, stress function for plane stress and plane strain cases

Numerical examples 4 Course Plan <Theory of Elasticity and Plasticity> (ME506) 3

6 Torsion of Non- Circular Bars

General solution of the torsion problem, stress function, torsion of non-circular cross sections.

Prandtl's membrane analogy

Numerical examples 4 7 Introduction to Plasticity

A very general introduction to the concept of plastic deformation using simple ideas and familiar examples

Difference between elasticity and plasticity

Uniaxial test- The phenomenon of

plasticity

Bauschinger effect

Strain hardening

The Prandtl-Reuss relations

The Levy-Mises relations 6

8 Yield criterion and Flow Rules

Tresca yield criterion

Von Mises yield criterion

Geometric representation of yield criterions

Associated flow rules 3 9 Elasto-plastic problems: Autofrettage Theory

Introduction to autofrettage process

Analytical solutions of hydraulic autofrettage

Analytical solutions of thermal autofrettage

Numerical examples 6 10 Slip Line Field Theory

Slip Lines

Basic Equations

Hencky’s first theorem

Application of slip line field theory to plane strain problems 4 11 Application of Plasticity Theory to Metal Forming

Application to rolling

Application to extrusion 3 Total 40 Course Plan <Theory of Elasticity and Plasticity> (ME506) 4

Text Books: (1) Timoshenko, S.P. and Goodier, J.N., Theory of Elasticity, McGraw-Hill, 1970. (2) Chakrabarty, J., Theory of Plasticity, 3rd edition, Butterworth-Heinemann, Burlington,

2006.

(3) Dixit, P.M. and Dixit, U.S., Plasticity: Fundamentals and Applications, CRC Press, 2014.

Reference Books/Papers: (1) Introduction to Linear Elasticity, P.L. Gould, Springer, 1983. (2) Dixit PM, Dixit US. Modeling of Metal Forming and Machining Processes: By Finite

Element and Soft Computing Methods. Springer, London, 2008.

(3) Kamal S.M. and Dixit U.S. (2015a), Feasibility Study of Thermal Autofrettage Process, in Advances in Material Forming and Joining, 5th International and 26th All India Manufacturing Technology, Design and Research Conference, AIMTDR 2014, edited

by R. G. Narayanan and U. S. Dixit, Springer, New Delhi. (4) Kamal S.M. and Dixit U.S., (2015b), Feasibility study of thermal autofrettage of thickwalled cylinders, ASME Journal of Pressure Vessel Technology, 137(6), pp. 061207- 1−061207-18. 5. Evaluation Plan Test No. Marks Duration (minutes) I 25 30 II (Term paper/Mini Project/ Group Task) 25 -- III (Major I) 40 60 IV (Assignment Type) 25 -- V 25 30 Major II 60 120 Total 200 All the tests will be held as per the schedule notified by the Controller of Examinations, Tezpur University. Course Plan <Theory of Elasticity and Plasticity> (ME506) 5

6. Pedagogy: Chalk and Talk, MATLAB for solving numerical, Finite Element package for solving some elasto-plasticity problems, Assignments, Term paper 7. Expected Outcome: After completion of this course, students shall be able to

(a) understand the basic concepts of fundamental variables such as stress, strain, and displacement under the application of load and equations of equilibrium and compatibility. (b) solve the basic problems of the theory of elasticity by using stress function. (c) recognize typical plastic yield criteria established in constitutive modeling. (d) use analytical techniques to predict stress, strain and deformations under given applied loads. (e) use the principles of plasticity to analyze the industrial processes such as autofrettage, rolling, extrusion etc. (f) understand the principles of new autofrettage techniques such as thermal autofrettage.