Numerical analysis of stressed state of thin shells with curvilinear holes

Stress-strain state of a flexible spherical shell with an eccentric circular hole

“…Also of interest is to study the effect of large (finite) deflections within stress concentration regions in spherical doubly connected shells with an eccentric hole under loading of high level [8,12,13].…”

“…In the case of doubly connected domains, the nonaxisymmetric deformation of spherical shells with a curvilinear (circular, elliptic) hole was analyzed in [1,4,9,10] considering the linear elastic, nonlinear elastic, and elastoplastic ranges. Two-dimensional boundary-value problems for a spherical shell with an eccentric circular hole were solved in linear elastic and nonlinear elastic (plastic strains) formulations using the theory of thin shells [5,10,14].Also of interest is to study the effect of large (finite) deflections within stress concentration regions in spherical doubly connected shells with an eccentric hole under loading of high level [8,12,13].The geometrically nonlinear problem for a shell with an external edge and a curvilinear (circular) hole reduces to a two-dimensional boundary-value problem for a domain with internal and external boundaries. In support of the method proposed earlier in [16] and of its application to the numerical solution of some two-dimensional linear elastic and nonlinear problems [15,17,18], we will present specific results on the stress-strain state of a flexible spherical shell weakened by an eccentric hole.…”