An Analytical Solution for Stress and Displacement in Casing-Cement Combined Cylinder under Non-Uniform Loading
Based on the theory of elasticity and taken the casing-cement sheath as a totally contacted composite cylinder subjected to arbitrarily distributed loading on inner and outer surfaces, an analytical solution in Fourier serial form was obtained for stresses and displacements. A computer program was developed to evaluate the stress and displacement in the combined cylinder. The results are in good agreement with those from the finite element method (FEM). With these solutions we can investigate the interaction between casing and the cement sheath. This is of importance in improving the design of casing.
Yungang Li, Pengcheng Wang, Liqun Ai, Xiaoming Sang and Jinglong Bu
M. H. Fan et al., "An Analytical Solution for Stress and Displacement in Casing-Cement Combined Cylinder under Non-Uniform Loading", Advanced Materials Research, Vols. 291-294, pp. 2133-2138, 2011