Another integrable case in two-dimensional plasticity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F13%3A%230000365" target="_blank" >RIV/47813059:19610/13:#0000365 - isvavai.cz</a>
Result on the web
<a href="http://iopscience.iop.org/1751-8121/46/4/045203/" target="_blank" >http://iopscience.iop.org/1751-8121/46/4/045203/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8113/46/4/045203" target="_blank" >10.1088/1751-8113/46/4/045203</a>

Result language
angličtina
Original language name
Another integrable case in two-dimensional plasticity
Original language description
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 thesphere are determined by the sine-Gordon equation.
Czech name
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Czech description
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Project
<a href="/en/project/GAP201%2F11%2F0356" target="_blank" >GAP201/11/0356: Riemannian, pseudo-Riemannian and affine differential geometry</a>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP) S - Specificky vyzkum na vysokych skolach I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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