Crack propagation in homogeneous and bimaterial sheets under general in-plane loading: Nonlinear analysis

P. H. Geubelle, W. G. Knauss

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The problem of non-coplanar crack propagation in homogeneous and bimaterial sheets is investigated within the framework of the nonlinear theory of plane stress and for the Generalized Neo-Hookean class of hyperelastic solids. The analysis is performed numerically using a boundary-layer approach and the maximum energy release rate criterion. The influence of the large deformation effect on the limiting process associated with the concept of `infinitesimal virtual crack extension' is examined, together with the possible relation between the size of the nonlinear zone and the additional length parameter appearing in the linearized analysis of the interfacial crack propagation problem. As the virtual crack extension is gradually shortened to a size comparable to that of the nonlinear zone, a transition is observed between the non-unique value predicted by the linearized theory and a single `nonlinear' value, which is independent of the crack extension length but also independent of the far-field loading conditions.

Original languageEnglish (US)
Title of host publicationUltrasonic Characterization and Mechanics of Interfaces
EditorsDennis A. Siginer, William E. VanArsdale, Cengiz M. Altan, Andreas N. Alexandrou
PublisherPubl by ASME
Pages55-64
Number of pages10
ISBN (Print)0791810437
StatePublished - Dec 1 1993
Externally publishedYes
EventProceedings of the 1993 ASME Winter Annual Meeting - New Orleans, LA, USA
Duration: Nov 28 1993Dec 3 1993

Publication series

NameAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume177
ISSN (Print)0160-8835

Other

OtherProceedings of the 1993 ASME Winter Annual Meeting
CityNew Orleans, LA, USA
Period11/28/9312/3/93

ASJC Scopus subject areas

  • Mechanical Engineering

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