Stress Analysis of Hollow Cylindrical Inclusions

by Sidiq M. Dar, (M.ASCE), Mechanical Engineer (WAE); Spokane Mining Res. Ctr., U.S. Bureau of Mines; and Associate Prof. of Civ. Engrg., Gonzaga Univ., Spokane, WA,
Robert C. Bates, Supervisory Mining Engr.; Spokane Mining Res. Ctr., U.S. Bureau of Mines, Spokane, WA,

Serial Information: Journal of the Geotechnical Engineering Division, 1974, Vol. 100, Issue 2, Pg. 123-138

Document Type: Journal Paper


Stresses and deformations in both a hollow cylindrical inclusion and the surrounding semi-infinite medium are studied using equations derived from the theory of elasticity. It is assumed that there is perfect continuity at the inclusion-medium interface, and that the materials are ideally elastic. Since the equation input needs are simple (inner and outer radii of the cylinder, shear modulus, and Poisson's ratio of the cylinder and medium, and the biaxial field stresses), many comparative and parametric evaluations were made. Comparisons to field and laboratory measurements verify that these equations accurately predict the measured values for a wide variety of cases. The parametric studies show that stresses in the inclusion can be reduced 20 to 35% by thinning the wall, and 10 to 15 times by increasing the modulus of the medium. Some of the other results noted have been mentioned in literature; however, now in one set of equations, the major factors that affect the performance of the liner can be examined.

Subject Headings: Stress analysis | Elastic analysis | Cylinders | Shear modulus | Field tests | Comparative studies | Parameters (statistics) | Deformation (mechanics)

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