In this paper, the upper bound method has been applied, in combination
with the minimum energy principle, to obtain a fracture condition in
the hot extrusion of bimetallic tubes. The simultaneous deformation of
material components with quite different plastic properties or under
unfavourable geometric conditions may lead to decohesion or fracture.
A criterion based on the geometric compatibility of the deformation of
each material has been used here. The dependence of the fracture cond
ition on the different extrusion parameters involved in the process is
analysed, and several maps containing safety and fracture zones for e
ach parameter are obtained. It is concluded that the yield stress rati
o, the die angle and the extrusion ratio appear as the most effective
factors in the failure control. The fracture condition is promoted by
an increase in the yield stress ratio, in the extrusion die angle, or
by decreasing the extrusion ratio. A die angle of 54 degrees or higher
, as well as a reduction of 29% or lower, implies that the extrusion o
peration is only possible at yield stress ratios lower than 2. This li
mit has many practical implications in the selection of suitable mater
ial combinations.