A Theory of Minimum Plastic Spin in Crystal Mechanics

A theory of minimum plastic spin (i. e. minimum relative rate-of-rotation of gross crystalline material and underlying atomic lattice) is proposed for the finite deformation of crystals, consistent with loading conditions and constraints. Three families of multiple-slip configurations of f. c. c. cr...

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Bibliographic Details
Published in:Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences Mathematical and physical sciences, 1989-03, Vol.422 (1862), p.193-239
Main Authors: Fuh, S., Havner, K. S.
Format: Article
Language:English
Subjects:
Axes of rotation
Crystal lattices
Crystals
Fracture mechanics
Kinematics
Mathematical lattices
Plane stress
Rotation
Sine function
Symmetry
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Summary:A theory of minimum plastic spin (i. e. minimum relative rate-of-rotation of gross crystalline material and underlying atomic lattice) is proposed for the finite deformation of crystals, consistent with loading conditions and constraints. Three families of multiple-slip configurations of f. c. c. crystals are comprehensively investigated: (i) pure plane strain compression with a [100] axis of free extension; (ii) (110) loading in channel die compression; and (iii) all multiple-slip orientations in uniaxial tension. It is established that, in each case, minimum plastic spin uniquely predicts the experimentally observed behaviour.
ISSN:1364-5021
0080-4630
1471-2946
2053-9169
DOI:10.1098/rspa.1989.0025