A New Theory of Spherical Shells with Cracks.
LEHIGH UNIV BETHLEHEM PA INST OF FRACTURE AND SOLID MECHANICS
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An improved theory of shallow spherical shells which includes the effect of transverse shear deformation is derived. The resulting tenth order system of equations are uncoupled and all five boundary conditions along an edge of the shell can be satisfied. The method of integral transforms is used to formulate and solve the symmetric problem for a spherical shell containing a finite meridional crack. The stress field in the neighborhood of the crack tip is obtained. In contrast to the classical shallow shell theory, the angular variation of the stress resultants coincide with that of the stretching, and the Reissner theory of bending of thin plates so that a combined stress-intensity factor can be defined. Author
- Structural Engineering and Building Technology