Oa. Olukoko et al., A NEW BOUNDARY-ELEMENT APPROACH FOR CONTACT PROBLEMS WITH FRICTION, International journal for numerical methods in engineering, 36(15), 1993, pp. 2625-2642
A new boundary element solution algorithm for two-dimensional and axis
ymmetric contact problems with friction, based on an independent discr
etization of the contacting surfaces and under static and proportional
loading conditions, is presented. The solution procedure uses the ele
ment shape functions to distribute the geometry, tractions and displac
ements on each contact element. The contact constraints are then appli
ed between each contacting node and the opposite contact segment. The
overall boundary element matrix equations for the contacting bodies ar
e coupled using the contact conditions at the interface without introd
ucing any additional variables into the solution matrix. The algorithm
is applied to several two-dimensional and axisymmetric frictional con
tact examples and the results obtained are in very good agreement with
finite element and analytical solutions.