Strain Tensors and Matching Property on Degenerated Hyperbolic Surfaces
| Autor: | Liang-Biao Chen, Peng-Fei Yao |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | SIAM Journal on Mathematical Analysis. 54:4930-4953 |
| ISSN: | 1095-7154 0036-1410 |
| DOI: | 10.1137/21m1440906 |
| Popis: | We prove the regularity of solutions to the strain tensor equation on degenerated hyperbolic surfaces $S$ where the Gauss curvature is zero on a part of boundary. Furthermore, we obtain the density property that smooth infinitesimal isometries are dense in the $W^{2,2}({S},\R^3)$ infinitesimal isometries. Finally, the matching property is established. Those results are important tools in obtaining recovery sequences ($\Ga$-lim sup inequality) for dimensionally-reduced shell theories in elasticity. Comment: 26 pages |
| Databáze: | OpenAIRE |
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