Limit analysis of axisymmetric pressure vessel intersections of arbitrary shape

Geotechnical stability analysis

“…Hodge & Belytschko (1968) reported slow convergence of the procedure, owing to the complex nature of the objective function. Following this initial work, various other non-linear programming formulations were proposed for computing upper bounds on the load capacity of plates, shells and structures (Biron & Charleux, 1972;Nguyen et al, 1978). Huh & Yang (1991) developed a general upper-bound procedure for plane stress problems using triangular elements with a linear velocity field.…”

Parametric survey of upper and lower bound limit internal pressures for single mitred pipe bends of various geometries

“…On limit analysis of rotationally nonsymmetric problems, such as the problem in hand, Robinson et al [2,3] present a numerical approach to solve such problems such as oblique flush nozzle to spherical pressure vessels or cylindrical T-joints. Biron et al [4,5] propose an alternative zone approach to obtain limit loads for cylindercylinder intersections such as radial flush nozzles into cylindrical pressure vessels.…”

Mixed and Compatible Finite Elements in the Analysis Problem of Elastoplastic Structures

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