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A local-global model for the nonlinear analysis of locally defective shells of revolution. (English) Zbl 0812.73060

A local-global analysis technique is presented for the nonlinear analysis of shells of revolution with a localized material discontinuity in the form of a crack or a cutout. The local zone is modelled using two- dimensional general shell elements. Axisymmetric shell elements with Fourier description in the circumferential direction are used away from this local zone. The geometric nonlinearity is taken into account in the axisymmetric zone as well. The harmonic coupling in the axisymmetric zone is efficiently handled through the pseudo-load approach. A special preconditioned conjugate gradient iterative method is employed in conjunction with the arc length method for achieving improved convergence and negotiating the limit points.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K15 Membranes
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