Abstract
In this paper, the motion of a deformable body sliding on a half-plane is considered. The solid undergoes large displacements but small strains. An orthotropic friction model described by an elliptic cone is considered. This model allows to describe the sliding-direction dependence of the frictional behavior observed in experience. The algorithm used to solve the problem is based on a weak variational statement of the frictional contact law. The Uzawa algorithm is used to solve the discrete problem. The corresponding algorithm is robust and can deal with large sliding increments. The study shows that frictional properties can influence significantly the trajectory of a deformable body sliding on a frictional surface.
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Hjiaj M, Feng ZQ, de Saxcé G, Mróz Z. (2004) Three-dimensional finite element computations for frictional contact problems with non-associated sliding rule. Int. J. Numer. Meth. Eng. 60: 2045–2076
Michałowski R, Mróz Z. (1978) Associated and non-associated sliding rules in contact friction problems. Arch. Mech. 30: 259–276
Rockafellar RT, Wets J-B. (1998) Variational analysis. Springer, Berlin, Heidelberg New York
Wriggers P. (2002) Computational contact mechanics. Wiley, New York
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Feng, Z.Q., Hjiaj, M., Saxcé, G.d. et al. Effect of frictional anisotropy on the quasistatic motion of a deformable solid sliding on a planar surface. Comput Mech 37, 349–361 (2006). https://doi.org/10.1007/s00466-005-0674-5
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DOI: https://doi.org/10.1007/s00466-005-0674-5