Tensile bifurcations in a truncated hemispherical thin elastic shell
| Autor: | Ciprian D. Coman |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Work (thermodynamics)
Asymptotic analysis Critical load Materials science Applied Mathematics General Mathematics Shell (structure) General Physics and Astronomy Boundary (topology) 02 engineering and technology Mechanics Radius 021001 nanoscience & nanotechnology 01 natural sciences 010101 applied mathematics Asymptotic formula 0101 mathematics 0210 nano-technology Bifurcation |
| Zdroj: | Zeitschrift für angewandte Mathematik und Physik. 71 |
| ISSN: | 1420-9039 0044-2275 |
| DOI: | 10.1007/s00033-020-01394-6 |
| Popis: | The work described in this paper is concerned with providing a rational asymptotic analysis of the wrinkling bifurcation experienced by a thin elastic hemispherical segment subjected to vertical tensile forces on its upper rim. This is achieved by considering the interplay between two boundary layers and matching the corresponding solutions associated with each separate region. Our key result is a four-term asymptotic formula for the critical load in terms of a small parameter proportional to the ratio between the thickness and the radius of the shell. Comparisons of this formula with direct numerical simulations provide further insight into the range of validity of the results derived herein. |
| Databáze: | OpenAIRE |
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