SIMULATING ANISOTROPIC FRICTIONAL RESPONSE USING SMOOTHLY INTERPOLATED
R.E. Jones and P. Papadopoulos
Comp. Meth. Appl. Mech. Engrg., 195, pp. 588-613, (2006)
This article develops a constitutive description and a computational treatment
of anisotropic friction within the context of the finite element method.
The theoretical approach makes use of structural tensors that characterize
texture, are convected with the material surfaces, and represent the
symmetries that reflect changes in relative orientation of the surfaces.
In the discrete setting, the texture is mapped using techniques adapted from
discrete differential geometry and computer graphics. In addition, the traction
fields are interpolated smoothly on the surfaces and the stick-slip condition
is enforced sharply via Lagrange multipliers.
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