A More Accurate Solution to the Elastic-Plastic Problem of Pressurized Thick-Walled Cylinders
ARMY ARMAMENT RESEARCH AND DEVELOPMENT CENTER WATERVLIET NY LARGE CALIBER WEAPON SYSTEMS LAB
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A new method has been developed for solving the partially plastic problems of thick-walled cylinders made of strain-hardening or ideally-plastic materials subjected to any combination of internal pressure, external pressure, and end loads. The incremental strains are chosen as the basic unknowns in the finite-difference formulation. The incremental sizes of the applied loading are determined automatically and no iteration is needed. Complete solutions for the stresses, strains, and displacement have been obtained and all numerical results are very accurate. This approach is also efficient and simple, yet quite general, when compared with many solutions in the literature.
- Theoretical Mathematics