Contact Problem for an Orthotropic Plate with a Circular Hole Loaded by a Bolt
Abstract
The contact problem associated with a bolt bearing on a circular frictionless hole in a rectangular orthotropic plate has been examined. The problem has been formulated by the well-known methods of Muskhelishvili and Lekhnitskii using functions of complex variables. The orthotropic stress functions are expanded in Laurent series and boundary conditions satisfied by boundary collocation. A simple iterative process has been utilized with success to find the contact angle. The process utilizes the physical fact that the radial stress in the contact region is compressive and reduces to zero in a well-behaved manner at the point where the bolt begins to separate from the plate. The problem was motivated by the growing need in composite designs to gain analytical understanding of the joint. Some interesting results concerning the stress concentrations occurring in plates with various geometries and material parameters are presented. The results show the importance of complex interactions and the necessity of employing the particular method to estimate stress concentrations in problems of this nature.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1976
- Accession Number
- ADA033367
Entities
People
- Kanu R. Gandhi
Organizations
- United States Army Research Laboratory