Green's functions for stresses, stress intensity factors, and displacements in a cracked, infinite, isotropic sheet under symmetric loads
✍ Scribed by G.L. Roderick
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 687 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0013-7944
No coin nor oath required. For personal study only.
✦ Synopsis
Green's functions for stresses, stress intensities, and displacements were derived for an infinite cracked isotropic sheet under point symmetric loading. First, complex stress functions were derive6 for four point symmetric concentrated loads acting on a cracked sheet. Then, the functions and their appropriate derivatives were used to express stresses, stress intensities, and displacements in terms of unit load components. Stresses and displacements calculated by use of the Green's functions were compared with coarse-grid finite-element calculations, primarily as a test for the existence of algebraic errors. The calculations were in good agreement. The results should be useful in the analysis and design of damage-tolerant aircraft structures. B(z, z ,4 BW, zo) B(z, 20) $2;;; F,k zo) dz, zo 1 G i Superscripts denotes stress functions for single point load denotes stress functions for point symmetric load system denotes conjugate value