WEDGING OF FRICTIONAL ELASTIC SYSTEMS

Sangkyu Kim, Yong Hoon Jang, James R. Barber

DOI Number
10.22190/FUME190131019K
First page
141
Last page
148

Abstract


We consider discrete two-dimensional elastic systems with Coulomb friction contacts, and investigate the conditions that must be satisfied if these are to be capable of becoming ‘wedged’ --- i.e. of remaining with non-zero elastic deformations when all external loads have been removed. The condition for wedging is reduced to the requirement that a prescribed set of constraint vectors should fail to positively span the N-dimensional vector space of nodal displacements. We also show that the range of admissible wedged states increases monotonically with the coefficient of friction f and that there exists a unique critical coefficient fw such that wedging is impossible for f < fw and possible for f > fw.

Keywords

Wedging, Coulomb Friction, Positive Span, Contact Mechanics

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References


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DOI: https://doi.org/10.22190/FUME190131019K

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