科研之友
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摘要
In this paper, we continue the investigation of the constant astigmatism equation z(yy) + (1/z)(xx) + 2 = 0. We newly interpret its solutions as describing spherical orthogonal equiareal patterns, which links them to principal stress lines under the Tresca yield condition on the sphere. By extending the classical Bianchi superposition principle for the sine-Gordon equation, we show how to generate an arbitrary number of solutions by algebraic manipulations. Finally, we show that slip line fields on the sphere are determined by the sine-Gordon equation.
- 出版日期2013-2-1
