Solution of contact problem for plane weakened of variable width slot in inhomogeneous stress field
Keywords:
isotropic plane in inhomogeneous stress field, variable width slot, contact zones, contact stressesAbstract
A mathematical description of partial closure of a variable width slot in a plane in inhomogeneous stressed field is given. The weakened plane is elastic and isotropic. It is assumed that the variable width of the slot is comparable with the elastic deformations. The interaction of slot surfaces under influence of the inhomogeneous stressed field can lead to appearance of zones of surfaces contact. The contact stresses arising between the slot faces and the boundary of the contact zones are initially unknown and are found in the solution process. The occurrence of several contact zones of the slot faces is investigated. It is assumed that in the contact zone partially faces adhesion and partially faces slippage arise; and on the faces slippage zones the dry friction forces act. The problem on equilibrium of the slot with partially contacting faces reduces to the problem of linear conjugation of analytic functions. The solution of the contact problem is obtained in quadraturesReferences
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