| Автор | Paullet, Joseph, E. |
| Автор | Warne, Debra, Polignone |
| Автор | Warne, Paul, G. |
| Дата выпуска | 1998 |
| dc.description | The authors consider the two-point boundary-value problem resulting from the equations of nonlinear elastostatics for azimuthal shear of a Blatz-Ko tube. Previous work on this problem by Simmonds and Warne includes a numerical study of these equations and indicates that smooth radial deformation solutions (no kinks) should exist regardless of the aspect ratio of the tube, provided that the dimensionless applied torque r is small enough (r <-0.72). The numerics of Simmonds and Warne also indicated that the existence of smooth solutions for r >-0.72 depends on the geometry of the tube, and that for r = A, no smooth solution exists. Motivated by this numerical work, the authors prove via a topological shooting argument the existence and uniqueness of smooth solutions to this problem for r < tr, = 3/44 S 0.69, and the nonexistence of smooth solutions for r = a. |
| Издатель | Sage Publications |
| Название | Existence and Uniqueness of Azimuthal Shear Solutions in Compressible Isotropic Nonlinear Elasticity |
| Тип | Journal Article |
| DOI | 10.1177/108128659800300104 |
| Print ISSN | 1081-2865 |
| Журнал | Mathematics and Mechanics of Solids |
| Том | 3 |
| Первая страница | 53 |
| Последняя страница | 69 |
| Аффилиация | Paullet, Joseph, E., The Behrend College, Division of Science Penn State Erie, Erie, PA 16563 |
| Аффилиация | Warne, Debra, Polignone, Mathematics Department, University of Tennessee, Knoxville, TN 37996-1300 |
| Аффилиация | Warne, Paul, G., Division of Mathematics and Computer Science, Maryville College, Maryville, TN 37804 |
| Выпуск | 1 |
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