Determination of the nonlinear displacement distribution of the semi-infinite strip – Application to deformable rocking bodies
| Autor: | Ioannis N. Psycharis, Evangelos Avgenakis |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Work (thermodynamics)
Semi-infinite Applied Mathematics Mechanical Engineering Mathematical analysis Base (geometry) Motion (geometry) 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics Displacement (vector) Nonlinear system 020303 mechanical engineering & transports Distribution (mathematics) 0203 mechanical engineering Mechanics of Materials Modeling and Simulation General Materials Science 0210 nano-technology Mathematics Analytic function |
| Zdroj: | International Journal of Solids and Structures. 170:22-37 |
| ISSN: | 0020-7683 |
| Popis: | In the present work, the problem of the semi-infinite strip with traction-free lateral sides is revisited, in order to examine the displacement profile across the semi-infinite strip under an arbitrary normal load distribution on its end. Although the solution of this problem is important even for practical applications (e.g. the prediction of the rocking motion of deformable bodies), only numerical solutions exist until now, which are cumbersome to implement for such cases. In this paper, the displacement profile of the semi-infinite strip under a concentrated normal load is approximated with analytical functions, which must exhibit specific properties. These results are then extended to arbitrary normal load distributions and characteristic cases are presented. Finally, the problem of the determination of the stress distribution across the interface between a deformable rocking body and its base is solved based on the previous derivations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect