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Elastic-Plastic Behavior of an Ideal Cylinder Subject to Mechanical and Thermal Loads

Elastic-Plastic Behavior of an Ideal Cylinder Subject to Mechanical and Thermal Loads. Objective. Examine the stresses, strains, and displacements of ideal cylinders subject to axisymmetric mechanical (pressure) and thermal loads, to include: Thin-walled and thick-walled cylinders

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Elastic-Plastic Behavior of an Ideal Cylinder Subject to Mechanical and Thermal Loads

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  1. Elastic-Plastic Behavior of an Ideal Cylinder Subject to Mechanical and Thermal Loads

  2. Objective Examine the stresses, strains, and displacements of ideal cylinders subject to axisymmetric 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

  3. Elastic Response • Cylinders under pressure • Thin-shell theory, r/t < 10

  4. Elastic Response • Cylinders under pressure • Thick-shell theory, Lamé’s Equations

  5. Elastic Response • Cylinders under thermal load

  6. Elastic Response • Cylinders under combined load • Superposition

  7. Finite-Element Model ABAQUS used to model 1/16th cylinder. Parameterized input files allow rapid convergence studies and model variations.

  8. Progess Report • Elastic response finished • Excellent correlation between analytical and finite-element solutions • Elastic-plastic analysis underway

  9. Schedule • Proposal draft (Deliverable) – (COMPLETE) • First progress report (Deliverable) – (COMPLETE) • Elastic response (COMPLETE) • Both analytical and finite-element solutions • Stresses, strains, and radial displacements • Thin-walled vs. thick-walled cylinders • Pressure loading • Steady-state thermal loading • Combined pressure/thermal loading • Second progress report (Deliverable) – 11/4 • Elastic-plastic response – (IN PROGRESS) • Both analytical and finite-element solutions • Stresses, strains, and radial displacements • Pressure loading • Steady-state thermal loading • Combined pressure/thermal loading • Final draft (Deliverable)– 11/25 • Final report (Deliverable) – 12/9

  10. References [1] Young, W.C., 1989, Roark’s Formulas for Stress & Strain, 6th Edition, McGraw-Hill, New York, NY. [2] Avalone, E.A. & Baumeister (III), T, 1987, Marks’ Standard Handbook for Mechanical Engineers, 9th Edition, McGraw-Hill, New York, NY. [3] Case, J, 1999, Strength of Materials and Structures, 4th Edition, John Wiley & Sons Inc., New York, NY. [4] Timoshenko, S., 1956, Strength of Material Part II, Advanced Theory and Problems, 3rd Edition, D. Van Nostrand Company Inc., Princeton, NJ. [5] ABAQUS, v6.7-2, DSS Simulia, Providence, RI. [6] Hojjarti, M.H. & Hassani, A., 2006, “Theoretical and finite-element modeling of autofrettage process in strain-hardening thick-walled cylinders,” International Journal of Pressure Vessels and Piping, 84 (2007) 310-319.

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