论文标题

一组层压参数的凸的证明

A proof of the convexity of the set of lamination parameters

论文作者

Akian, Jean-Luc

论文摘要

在本文中,我们表明,文献中广泛引用的J.L. Grenestedt和P. Gudmundson给出的一组层压参数的凸面证明是不正确的。当将上色角作为厚度坐标的函数的函数类别是一组步骤函数时,我们给出了该集合的凸度的证明。

In this paper we show that the proof of the convexity of the set of lamination parameters given by J.L. Grenestedt and P. Gudmundson, which is extensively cited in the literature, is not correct. We give a proof of the convexity of this set when the class of functions which gives the layup angle as a function of the through-the-thickness coordinate is the set of step functions.

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