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Published August 1992 | public
Journal Article

Mode mixity effects on crack tip deformation in ductile single crystals

Abstract

Crack tip deformation and stress fields in ductile single crystals, under mixed mode loading conditions, are examined within the framework of a geometrically rigorous formulation of crystalline plasticity. The theory accounts for finite deformations and finite lattice rotations, as well as for the full three-dimensional crystallographic geometry of the crystal. An experimentally based self-hardening rule exhibiting an initial stage of rapid hardening followed by a saturation stage is used in the analysis. For the orientation of an f.c.c. crystal considered in this study, the geometric nature of slip gives rise to competing deformation modes. Our studies reveal that mode mixity exerts a strong influence on which of these competing deformation modes prevail. It is found that the effects of mode mixity are more complex than those predicted by phenomenological flow theories of plasticity. Finite deformation and lattice rotation effects, as well as the details of the hardening law, strongly influence the structure of the solution.

Additional Information

© 1992 Elsevier. (Received 10 December 1990; in revised form 20 December 1991) The support of the National Science Foundation through the Materials Research Group at Brown University, Grant DMR-9002994, is gratefully acknowledged.

Additional details

Created:
August 20, 2023
Modified:
October 18, 2023