THE PROBLEM OF FAILURE OF A BRITTLE BODY WITH A DISK-SHAPED CRACK,
Abstract
The limit equilibrium of an infinite homogeneous isotropic solid with an internal lentil-shaped crack of diameter 2a is discussed. Monotonically increasing, mutually orthogonal, uniformly distributed stresses (tension or compression) p and q are applied at infinity parallel to the xOz plane at angle to the xOy plane; there are no external forces on the crack surface. The problem is to determine the limit values p and q at which the crack starts to propagate, i.e., when a local failure occurs in the solid. The following premises are made. The state of stress in the neighborhood of the crack's contour is considered as a sum of two states: (a) stresses in a three-dimensional elastic solid without a crack subjected to stresses p and q applied at infinity; and (b) stresses in this solid with a lentil-shaped crack. The broken line bounds the domain of values for p and q, which do not endanger the strength of a brittle solid with cracks of the type discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 11, 1969
- Accession Number
- AD0693494
Entities
People
- A. E. Andreikiv
- V. V. Panasyuk
Organizations
- National Air and Space Intelligence Center