✦ LIBER ✦

Theory of fracture in canonical formulation

✍ Scribed by C. Torre

Publisher: Elsevier Science
Year: 1976
Tongue: English
Weight: 833 KB
Volume: 8
Category: Article
ISSN: 0013-7944
DOI: 10.1016/0013-7944(76)90094-1

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✦ Synopsis

Starting from the hodograph equation as a limiting condition in functional form, where the velocity vector is a continuous function of the position vector with at least continuous first derivative, the theory of one to another dependent functions was applied and completed. No hypotheses have been made or empirical formulas used. Because these assumptions were sufficient to establish the equation of motion, we call it the canonical formulation of the theory of fracture. The results have been explained in Cartesian coordinates for the plane flow. Additional results were derived in special forms of the equation of motion expressed in tensors and in Cartesian coordinates. Then we have investigated the equation of motion, if the limiting condition is given in terms of stresses and finally the exact stress-strain-relations have been derived for the plane flow with an example for the ideal plastic body.

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