Elastic/Plastic Behavior of Infinitely Long Cylinders

Subject to Mechanical and Thermal Loads

Objective

Examine the stresses and strains of infinitely-long cylinders subjec to axismmetric mechanical (pressure) and thermal loads, to include:– Thin-walled and thick-walled cylinders– Plane-strain and plane-stress end conditions– Elastic and elastic-plastic behavior– Analytical and finite-element methods

References[1] Young, W.C., 1989, Roark’s Formulas for Stress & Strain, McGraw-Hill, New York, NY.

[2] Hill, R., 1950, The Mathematical Theory of Plasticity, Oxford University Press, London, UK.

[3] Ugural, A.C, 1999, Stresses in Plates and Shells¸ McGraw-Hill, Boston, MA.

[4] Gao, X.L., 2003, “Elasto-plastic analysis of an internally pressurized thick-walled cylinder using a strain gradient plasticity theory,” International Journal of Solids and Structures 40 6445-6455.

[5] Jahanian, S., 1996, “Thermoelastoplastic stress analysis of a thick-walled tube of nonlinear strain hardening,” Transactions of the ASME 118 340-346.

[6] Tarn, J.Q., 2001, “Exact solutions for functionally graded anisotropic cylinders subjected to thermal and mechanical loads,” International Journal of Solids and Structures 38 8189-8206.

[7] Zhao, W., Seshadri, R., Dubey, R.N., 2003, “On thick-walled cylinder under internal pressure,” Journal of Pressure Vessel Technology 125 267-273.

Schedule• Proposal draft (Deliverable) – 9/23• Linear elastic stresses and strains (analytical)

– Pressure loading, thin/thick-shells – 10/7– Pressure loading with thermal effects, thin/thick shells– 10/14

• First progress report (Deliverable) – 10/14• Elastic-plastic stresses and strains (analytical)

– Pressure loading with thermal effects, thin/thick shells – 10/28• Linear elastic FEA analysis

– Pressure loading with thermal effects, thin/thick-shells – 11/4• Second progress report (Deliverable) – 11/4• Elastic-plastic FEA analysis

– Pressure loading with thermal effects, thin/thick-shells – 11/18• Final draft (Deliverable)– 11/25• Final report (Deliverable) – 12/9