The Strain Ellipsoid

Author:

Means W. D.

Publisher

Springer New York

Reference6 articles.

1. Topics similar to the ones discussed here in Chapters 14 and 15 are treated by Ramsay D (1967) on his pages 50–68 and 154–162.

2. The terms uniaxial and biaxial strain (and by extension the term triaxial strain) are used in the sense of Jaeger (1969, pp. 59–60).

3. A fivefold classification of equivolume strain ellipsoids is given by Flinn (1962) and Ramsay (1967, p. 137). The classes correspond to axially symmetric extension, axially symmetric shortening, plane strain, and two intermediate kinds of strain called “constriction” (λ2 < 1) and “flattening” (λ2 > 1).

4. The term pure strain is used in the sense of Love (1944, p. 38) and Eringen (1967, pp. 31–32). The theorem that any general deformation can be regarded as a combination of a pure strain, a rigid-body rotation, and a rigid-body translation is discussed by Truesdell and Toupin (1969, p. 274), and by Eringen (1967, p. 32).

5. The term pure shear is used here in the sense of Hobbs et al. (1976) to include deformations with triaxial strains. Some writers restrict the term to deformations with biaxial (plane) strains (e.g., Nye, 1964, p. 103).

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