Ta. Laursen et S. Govindjee, A NOTE ON THE TREATMENT OF FRICTIONLESS CONTACT BETWEEN NONSMOOTH SURFACES IN FULLY NONLINEAR PROBLEMS, Communications in numerical methods in engineering, 10(11), 1994, pp. 869-878
An approach is presented for the formulation of the unilateral contact
constraint in the presence of contact surface discontinuities. Such d
iscontinuities may be due to physical corners on the surfaces of conta
cting bodies, or may be introduced by a discretization process (e.g. f
inite elements). It is asserted that a strong analogy exists between t
his problem and the one describing inelastic evolution in the presence
of a discontinuous yield surface. This analogy is exploited to produc
e an effective treatment of the frictionless corner problem, complete
with an effective augmented Lagrangian implementation for accurate con
straint enforcement.