Abstract
The problem treated is that of a plate of unlimited extent containing a circular insert and subjected to a concentrated radial force in the plane of the plate. The elastic properties of the insert are different from those of the plate, and a perfect bond is assumed between the two materials. The solution is exact within the classical theory of elasticity, and is in a closed form in terms of elementary functions. Explicit formulas are given for the components of stress in Cartesian co-ordinates, and also in polar co-ordinates at the circumference of the insert.
Dates
Type | When |
---|---|
Created | 13 years, 10 months ago (Oct. 11, 2011, 12:53 p.m.) |
Deposited | 5 years, 11 months ago (Oct. 3, 2019, 12:21 p.m.) |
Indexed | 4 weeks ago (Aug. 6, 2025, 8:29 a.m.) |
Issued | 64 years, 6 months ago (March 1, 1961) |
Published | 64 years, 6 months ago (March 1, 1961) |
Published Online | 64 years, 6 months ago (March 1, 1961) |
Published Print | 64 years, 6 months ago (March 1, 1961) |
@article{Dundurs_1961, title={The Elastic Plane With a Circular Insert, Loaded by a Radial Force}, volume={28}, ISSN={1528-9036}, url={http://dx.doi.org/10.1115/1.3640419}, DOI={10.1115/1.3640419}, number={1}, journal={Journal of Applied Mechanics}, publisher={ASME International}, author={Dundurs, J. and Hete´nyi, M.}, year={1961}, month=mar, pages={103–111} }