J. D. Achenbach*, P. Burgers, V. Dunayevsky

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

10 Scopus citations


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 languageEnglish (US)
Pages (from-to)105-124
Number of pages20
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
StatePublished - Jan 1 1979
EventNonlinear and Dyn Fract Mech, Symp presented at the Winter Annu Meet of ASME - New York, NY, USA
Duration: Dec 2 1979Dec 7 1979

ASJC Scopus subject areas

  • Mechanical Engineering


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