| dc.description.abstract | A boundary Fourier expansion method is used to solve the system of field equations of plane, linear elasticity in stresses for homogeneous, isotropic media occupying a doubly-connected domain under given pressures on the boundaries. The case is considered: A circular domain with rectangular slot. The boundary values of the relevant harmonic functions are obtained and the error in satisfying the boundary conditions is given. Comparison is carried out between the present results on the boundary and those obtained by the usual boundary collocation method. The stress function and the displacement are calculated inside the domain of the normal cross-section.
The drawbacks for each method are put in evidence. The obtained results show that the presently used method performs better than BCM for the considered type of domains, and it is thus recommended for use for the evaluation of stresses inside long tubes with cavities. | en_US |
