A Mechanical Model for the Dynamical Contact of Elastic Rough Bodies with Viscoelastic Properties (bibtex)
by Frank Schulte, Jan Neuhaus, Walter Sextro
Abstract:
The contact between viscoelastic materials e.g. elastomers and a rough surface leads to a special friction characteristic, which differs greatly in its properties comparing to other materials like metals. In practice, this friction combination occurs for example in the tire-road contact, or in the use of rubber gaskets. Due to the frictional forces a system is significantly influenced in its vibrational properties. The friction force is composed of two main components adhesion and hysteresis. The adhesion results from molecular bounds between the contact partners, while the deformation of the viscoelastic material by the roughness of the counter body leads to power loss. This internal friction results in an additional frictional force, which is described by the hysteresis. To simulate the frictional behaviour of elastomers on rough surfaces and thus to determine the energy dissipation in contact, it is necessary to develop a mechanical model which considers the roughness of the contact partners, as well as dynamic effects and the dependence on normal pressure and sliding speed. The viscoelastic material behaviour must also be considered. The contact between two rough surfaces is modelled as a rough rigid layer contacting a rough elas- tic layer. The elastic layer is modelled by point masses connected by Maxwell-elements. This allows the viscoelastic properties of the elastomer to be considered. The behaviour of whole system can be described by equations of motion with integrated constraints. The degrees of freedom of the model depends on the varying contact conditions. A point mass not in contact has two degrees of freedom. A point mass in contact moving along the roughness path can be described by only one degree of freedom. For each Maxwell-Element also an inner coordinate and thus a further degree of freedom is needed. Because of varying contact conditions dur- ing the simulation, the simulation interrupts in case the contact conditions change. Then the equations of motions are adapted with respect to the contact constraints. As a result of the simulation one obtain the energy dissipation and thus the friction char- acteristic during the friction process. It is possible to use these results in three dimensional point-contact elements in order to model contact surfaces on lager length scales.
Reference:
Schulte, F.; Neuhaus, J.; Sextro, W.: A Mechanical Model for the Dynamical Contact of Elastic Rough Bodies with Viscoelastic Properties. Proceedings of ICoEV 2015 International Conference on Engineering Vibration, 2015. (Preprint: https://groups.uni-paderborn.de/ldm/publications/download/Schulte2015.pdf)
Bibtex Entry:
@INPROCEEDINGS{Schulte2015,
  author = {Schulte, Frank AND Neuhaus, Jan AND Sextro, Walter},
  title = {A Mechanical Model for the Dynamical Contact of Elastic Rough Bodies
	with Viscoelastic Properties},
  booktitle = {Proceedings of ICoEV 2015 International Conference on Engineering
	Vibration},
  year = {2015},
  pages = {1109-1117},
  abstract = {The contact between viscoelastic materials e.g. elastomers and a rough
	surface leads to a special friction characteristic, which differs
	greatly in its properties comparing to other materials like metals.
	In practice, this friction combination occurs for example in the
	tire-road contact, or in the use of rubber gaskets. Due to the frictional
	forces a system is significantly influenced in its vibrational properties.
	The friction force is composed of two main components adhesion and
	hysteresis. The adhesion results from molecular bounds between the
	contact partners, while the deformation of the viscoelastic material
	by the roughness of the counter body leads to power loss. This internal
	friction results in an additional frictional force, which is described
	by the hysteresis. To simulate the frictional behaviour of elastomers
	on rough surfaces and thus to determine the energy dissipation in
	contact, it is necessary to develop a mechanical model which considers
	the roughness of the contact partners, as well as dynamic effects
	and the dependence on normal pressure and sliding speed. The viscoelastic
	material behaviour must also be considered. The contact between two
	rough surfaces is modelled as a rough rigid layer contacting a rough
	elas- tic layer. The elastic layer is modelled by point masses connected
	by Maxwell-elements. This allows the viscoelastic properties of the
	elastomer to be considered. The behaviour of whole system can be
	described by equations of motion with integrated constraints. The
	degrees of freedom of the model depends on the varying contact conditions.
	A point mass not in contact has two degrees of freedom. A point mass
	in contact moving along the roughness path can be described by only
	one degree of freedom. For each Maxwell-Element also an inner coordinate
	and thus a further degree of freedom is needed. Because of varying
	contact conditions dur- ing the simulation, the simulation interrupts
	in case the contact conditions change. Then the equations of motions
	are adapted with respect to the contact constraints. As a result
	of the simulation one obtain the energy dissipation and thus the
	friction char- acteristic during the friction process. It is possible
	to use these results in three dimensional point-contact elements
	in order to model contact surfaces on lager length scales.},
  comment = {Preprint: \url{https://groups.uni-paderborn.de/ldm/publications/download/Schulte2015.pdf}},
  file = {Schulte2015.pdf:Schulte2015.pdf:PDF},
  keywords = {Contact Mechanics, Viscoelastic Material, Adhesive Friction, Hysteresis
	Friction, Energy Dissipation, Vibration},
  owner = {tobiasm},
  timestamp = {2016.01.14}
}