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Numerical shakedown analysis of axisymmetric sandwich shells: An upper bound formulation

✍ Scribed by Patrick Morelle

Publisher: John Wiley and Sons
Year: 1986
Tongue: English
Volume: 23
Category: Article
ISSN: 0029-5981
DOI: 10.1002/nme.1620231107

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✦ Synopsis

Shakedown analysis of axisymmetric elastic-perfectly plastic sandwich shells is performed here using a new upper bound formulation based on a special form of Koiter's theorem concerning piecewise linearized yield surfaces. Starting from finite element techniques and the Tresca sandwich yield condition, shakedown analysis is reduced to a linear programming problem which is solved by a powerful simplex algorithm. Numerical results are given for a number of examples and a comparison is made with a previously computed lower bound formulation.

* W e use in this paper the index summation convention

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