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Research note on quasi-convexity of the yield function and its relation to Drucker's postulate

✍ Scribed by Alberto Franchi; Francesco Genna; Ferdinando Paterlini


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
350 KB
Volume
6
Category
Article
ISSN
0749-6419

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✦ Synopsis


The relations between the inequality expressing Drucker's postulate, the convexity of the admissible stress domain (yield surface) and the quasi-convexity of the yield function are examined. A formal, analytical proof is given of two theorems: the first one, which states the convexity of the yield domain on the assumption of Drucker's postulate; the second one which follows the inverse path. A link role is played by the concept of quasi-convexity of the yield function.