Transition radiation in two-dimensional elastic systems

1995 ◽  
Vol 36 (3) ◽  
pp. 468-475
Author(s):  
A. I. Vesnitskii ◽  
A. V. Kononov ◽  
A. V. Metrikin
2019 ◽  
Vol 17 (2) ◽  
pp. 141 ◽  
Author(s):  
Sangkyu Kim ◽  
Yong Hoon Jang ◽  
James R. Barber

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.


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