Four kinds of 12-node solid finite elements with two parallel faces and one traction-free cylindrical surface have been developed based on the assumed stress hybrid method. Cylindrical coordinates are used so that the assumed stresses satisfy the equilibrium equations as well as the traction-free condition over the cylindrical boundary. In the limiting case of plane stress the assumed stresses also satisfy the compatibility conditions. Examples have indicated that these present special solid finite elements are far superior in predicting the distributions of the circumferential stresses and the stress concentration factors for solids with circular holes.
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