06ME752-Theory Of Plasticity |
PART – A |
UNIT I: |
FUNDAMENTAL OF ELASTICITY: Concept of stress, stress
transformation laws, spherical and deviator stress tensors, equilibrium
equations, octahedral stresses, concept of strain, deviator and spherical strain
tensors, strain transformation laws, octahedral strains, generalized Hooke’s
law, elastic strain energy, compatibility equations, theories of strength.
problems.
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UNIT II: |
PLASTIC DEFORMATION OF METALS: Crystalline structure in
metals, mechanism of plastic deformation, factors affecting plastic
deformation, strain hardening, recovery, recrystallization and grain growth,
flow figures or luder’s cubes.
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UNIT III: |
CUBICAL DILATION, TRUE STRESS AND STRAIN: Strain tensor,
principal strain, plane strain, spherical and deviator strain, octahedral strain
and representative strain, problems.
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UNIT IV: |
STRESS STRAIN RELATIONS: Introduction, types of materials,
empirical equations, theories of plastic flow, experimental verification of
St.Venant’s theory of plastic flow, the concept of plastic potential, the
maximum work hypothesis, mechanical work for deforming a plastic
substance.
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PART – B |
UNIT V: |
YIELD CRITERIA: Introduction, yield or plasticity conditions, Von Mises
and Tresca criteria, Geometrical representation, yield surface, yield locus
(two dimensional stress space), experimental evidence for yield criteria,
energy required to change the shape with basic principle problems
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UNIT VI: |
SLIP LINE FIELD THEORY: Introduction, basic equations for
incompressible two dimensional flow, continuity equations, stresses in
conditions of plain strain, convention for slip lines, solutions of plastic
deformation problem, Geometry of slip line field, Properties of the slip lines,
construction of slip line nets
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UNIT VII: |
BENDING OF BEAMS: Analysis for stresses, Non linear stress strain
curve, shear stress distribution, residual stresses in plastic bending, problems.
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UNIT VIII: |
TORSION OF BARS: Introduction, plastic torsion of a circular bar, elastic
perfectly plastic material, elastic work hardening of material, residual stresses
and problems
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REFERENCE |
TEXT BOOKS: |
1. ‘Theory of Plasticity’, Chakraborty 3rd Edition Elsevier.
2. ‘Engineering Plasticity’, W. Johnson and P. B. Mellor D Van N.O
Strand Co. Ltd 2000
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Reference Books |
1. Basic Engineering Plasticity, DWA Rees 1st Edition Elsevier.
2. Theory of Plasticity, L. S. Srinath TMH,
3. Theory of Plasticity, Sadhu Singh, Kanna publisher
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