ON THE DIFFUSION OF LOAD FROM A TRANSVERSE TENSION-BAR INTO A SEMI-INFINITE ELASTIC SHEET.
Abstract
The paper deals with the load-diffusion from a tension-bar of finite length and uniform cross-section into a semi-infinite sheet, the axis of the bar being perpendicular to the edge of the sheet. The bar is regarded as a one-dimensional elastic continuum, whereas the elastic sheet is treated within the two-dimensional theory of generalized plane stress. Three alternative models for the stringer-attachment are considered: (a) line-contact; (b) area-contact based on matching the axial stringer-strain and the corresponding average sheet-strain across the width of the strip of adhesion; (c) area-contact based on matching the stringer-strain and the corresponding sheet-strain along the centerline of the strip of adhesion. It is shown that the line-contact model, in contrast to both area-contact models, does not admit the transmission of portions of the applied load through forces concentrated at the ends of the adhering bar-segment. Further, asymptotic estimates are deduced for the end-slopes of the load-diffusion curves appropriate to the three models under consideration. The integro-differential equation for the stringer-force in Case (b) and Case (c) is reduced to a standard Fredholm integral equation, which is solved numerically. The results thus obtained are compared with available experimental findings. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1968
- Accession Number
- AD0667600
Entities
People
- Eli Sternberg
- R. Muki
Organizations
- California Institute of Technology