National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Syllabus

Course Details

Subject {L-T-P / C} : ME6201 : Applied Elasticity and Plasticity { 3-0-0 / 3}

Subject Nature : Theory

Coordinator : Prof. Susanta Kumar Sahoo

Syllabus

Analysis of stress and strain Equilibrium, Compatibility and constitutive equations Plane problems Stress functions Applications Complex potentials in two dimensional and axisymmetric problems Variational methods Anisotropic elasticity Finite deformation elasticity Yield surfaces. Deformation and flow theories Theory of plastic constitutive equations Axisymmetric and spherically symmetric problems Slab, Slipline and upper bound theory and application to simple problems of forging extrusion, drawing and indentation Wave propagation in plastic materials.

Course Objectives

  • Understand different methods that used to analyse stress and strain in solid body.
  • Apply various principles to solve problems in a practical situation and compare its solution with that obtained by solid mechanics approach.
  • Examine different yield criteria in diverse failure situations.
  • Relate theory of plasticity to manufacturing.

Course Outcomes

1.0 Can explain the stress, strain, torsion and bending properties. <br />2.0 Apply the concepts of stress, strain, torsion and bending and deflection of bar and beam in engineering field <br />3.0 Calculate and determine the stress, strain and deflection of solid body that subjected to external and internal load. <br />4.0 Enable to design the optimum dimension of the body in a variety of situations where specific properties are required. <br />5.0 Relates the basic theory of elasticity and plasticity with application of solid mechanics. <br />6.0 It provides an understanding how the stress-strain characteristics affect ultimate failure of materials. <br />7.0 Able to relate theory of plasticity to design tooling in manufacturing instead of using ‘thumb rule’.

Essential Reading

  • Timeshenko & Goodier, Theory of Elasticity, McGraw Hill, 3th ed. 1982 , Elasticity
  • J. Chakrabarty, Applied Plasticity, Springer, New York, 1st ed., 2000 , Plasticity

Supplementary Reading

  • L S Srinath, Advanced Mechanics of Solids, Tata McGraw-Hill , -
  • Johnson and Mellor, Engineering Plasticity, Van-Nostrand., 1st edition, 1983 , -

Journal and Conferences

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