Three dimensional stress and strain analysis, stress-strain transformation, stress invariants; equilibrium and compatibility equations, boundary conditions; Two dimensional problems in Cartesian, polar and curvilinear co-ordinates, bending of a beam, thick cylinder under pressure, complex variable, harmonic and bi-harmonic functions; Torsion of rectangular bars including hollow sections, bending problems; Energy principles, variational methods and numerical methods.Plasticity :Basic concepts and yield criteria; Equations of plasticity, elasto-plastic analysis of torsion and bending problems, torsion of a bar of oval section (Sokoloskey's method), problems of spherical and axial symmetry, slip lines and plastic flow, strain hardening and FEM applications.
Text/Reference Books:
- Timoshenko S. P. and Goodier J. N. Theory of Elasticity, McGraw-Hill.
- Kachanov L. M. Fundamentals of the Theory of Plasticity, Dover Publications.
- Chakrabarty J. Theory of Plasticity, Butterworth-Heinemann.
- Starovoitov E. and Naghiyev F. B. O. Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity, Apple Academic Press.
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