โ Scribed by Xiaoyuan Dong
No coin nor oath required. For personal study only.
For finding suitable expressions for the stress intensity factors (SIFs) under a general three-dimensional condition, the first stress invariant and the displacement tangent to a crack edge are analyzed. By using Green's theorem, the SIFs are expressed by integrals for the most general situations./(~ and Kn are expressed by integrals of the first stress invariant and its partial derivative. Km is expressed by an integral of the displacement tangent to the crack edge and its partial derivative. The integrals include a surface integral on a smooth surface of arbitrary shape, and a line integral along part of the surface's boundaries. The expressions are valid for an arbitrarily shaped elastic medium with stationary cracks of arbitrary shape. The expressions provide a new approach for the determination of the SIFs.
๐ SIMILAR VOLUMES
Plates with \'-through edge notches subjected to pure bending and specimens with rectangular edge-through-notches subjected to combined bending and axial pull were investigated (under live-load and stress-frozen conditions) in a completely nondestructive manner using scattered-light photoelasticity.
Ahatraet-A three-dimensional medium with a periodic or biperiodic system of circular cracks under normal loading is considered. The displacements are represented in the form of surface integrals and the problem is transformed to a singular integral equations. The stress intensity factors are determi