Vv. Silberschmidt et E. Werner, Computational analysis of thermally loaded duplex stainless steels: the role of the free surfaces and the microstructure, COMP MAT SC, 19(1-4), 2000, pp. 1-12
Hot-forged ferritic-austenitic duplex stainless steels possess complicated
structural and thermomechanical features which necessitate numerical analys
is when modeling their deformational behavior. The microstructure of these
steels consists of two phases with different temperature-dependent thermome
chanical properties. As a consequence, purely thermal cycling in the temper
ature interval between 900 degreesC and 20 degreesC can generate residual s
trains/stresses even in the absence of an external mechanical load. Stress
gradients, which are to be expected near traction-free surfaces of specimen
s due to Saint-Venant's principle are responsible for considerable deviatio
ns from the uniformity conditions and thus also influence the character of
spatial distributions of strains and stresses. If one aims at the modeling
of entire specimen, this excludes a utilization of traditional concepts (e.
g., homogenization or representative volume elements (RVE)) based on the as
sumption of the absence of macroscopic stress gradients. Three model repres
entations for a cylindrical two-phase specimen with a low aspect ratio are
introduced and analyzed by means of numerical (finite element) simulation i
n order to study the effect of free surfaces on the macroscopic response of
ferritic-austenitic duplex steels to purely thermal loading. The numerical
analysis is carried out for two different types of matrix-inclusion morpho
logy covering a simplified and a random distribution of the phase domains.
The solution of a complementary problem provides a general information on t
he effect of the geometrical features of both the whole specimen (e.g., its
aspect ratio) and of the microstructure element on the length of the free-
end zone. Such zones in vicinity of the specimen's end faces influence not
only the stress distribution but also the level of the irreversible axial s
train increment per thermal cycle. It is shown that this increment is very
sensitive to the type of the matrix-inclusion topology. The perimeter surfa
ce of cylindrical specimen, in contrast, does not affect the axial and the
circumferential stress components. The width of the zone measured in radial
direction of varying radial stress is extends only the layer of microscopi
c elements closest to this surface. (C) 2000 Elsevier Science B.V. All righ
ts reserved.