An ALE method for simulations of axisymmetric elastic surfaces in flow

Marcel Mokbel; Sebastian Aland

doi:10.1002/fld.4841

An ALE method for simulations of axisymmetric elastic surfaces in flow

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4841 ◽

2020 ◽

Vol 92 (11) ◽

pp. 1604-1625

Author(s):

Marcel Mokbel ◽

Sebastian Aland

Keyword(s):

Ale Method ◽

Elastic Surfaces

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Partial contact between elastic surfaces with periodic profiles

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.1998.0298 ◽

1998 ◽

Vol 454 (1980) ◽

pp. 3203-3221 ◽

Cited By ~ 23

Author(s):

W. Manners

Keyword(s):

Partial Contact ◽

Elastic Surfaces

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Elements of the Theory of Elastic Surfaces

Nonlinear Elasticity ◽

10.1017/cbo9780511526466.009 ◽

2001 ◽

pp. 268-304 ◽

Cited By ~ 5

Author(s):

D. J. Steigmann

Keyword(s):

Elastic Surfaces

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Evidence of friction reduction in laterally graded materials

Beilstein Journal of Nanotechnology ◽

10.3762/bjnano.9.229 ◽

2018 ◽

Vol 9 ◽

pp. 2443-2456

Author(s):

Roberto Guarino ◽

Gianluca Costagliola ◽

Federico Bosia ◽

Nicola Maria Pugno

Keyword(s):

Material Properties ◽

Static Friction ◽

Hierarchical Organization ◽

Friction Reduction ◽

Graded Materials ◽

Biological Surfaces ◽

Graded Material ◽

Complex Structural ◽

Frictional Behaviour ◽

Elastic Surfaces

In many biological structures, optimized mechanical properties are obtained through complex structural organization involving multiple constituents, functional grading and hierarchical organization. In the case of biological surfaces, the possibility to modify the frictional and adhesive behaviour can also be achieved by exploiting a grading of the material properties. In this paper, we investigate this possibility by considering the frictional sliding of elastic surfaces in the presence of a spatial variation of the Young’s modulus and the local friction coefficients. Using finite-element simulations and a two-dimensional spring-block model, we investigate how graded material properties affect the macroscopic frictional behaviour, in particular, static friction values and the transition from static to dynamic friction. The results suggest that the graded material properties can be exploited to reduce static friction with respect to the corresponding non-graded material and to tune it to desired values, opening possibilities for the design of bio-inspired surfaces with tailor-made tribological properties.

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