Abstract
Under rapid loading conditions and/or for a rapidly propagating crack, the mass density of a material affects the fields of stress and deformation. For such dynamic fracture problems plastic deformations in the immediate vicinity of a crack tip are investigated in this paper. Both stationary and propagating crack tips are considered. For a stationary crack tip, deformation theory is employed for the first phase of the loading when the fields are increasing monotonically with time. The general character of the near-tip fields is analyzed both with respect to its variation with time and with polar angle. The non-linear near-tip fields are related to the linearly elastic far-field by means of a path-independent integral. The second part of the paper considers rapidly propagating cracks. The last part of the paper considers the fields near a rapidly propagating crack-tip in an elastic-perfectly plastic material for the case that inertial terms are of importance.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 105-124 |
| Number of pages | 20 |
| Journal | American Society of Mechanical Engineers, Applied Mechanics Division, AMD |
| Volume | 35 |
| State | Published - Jan 1 1979 |
| Event | Nonlinear and Dyn Fract Mech, Symp presented at the Winter Annu Meet of ASME - New York, NY, USA Duration: Dec 2 1979 → Dec 7 1979 |
ASJC Scopus subject areas
- Mechanical Engineering