Analytical elastic models of finite cylindrical and truncated spherical inclusions
| Autor: | Anna L. Kolesnikova, Alexey E. Romanov, M. Yu. Gutkin |
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| Rok vydání: | 2018 |
| Předmět: |
010302 applied physics
Physics Series (mathematics) Applied Mathematics Mechanical Engineering Linear elasticity Mathematical analysis Isotropy Rotational symmetry 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Strain energy Matrix (mathematics) Mechanics of Materials Modeling and Simulation 0103 physical sciences Cylinder High Energy Physics::Experiment General Materials Science 0210 nano-technology Elastic modulus |
| Zdroj: | International Journal of Solids and Structures. 143:59-72 |
| ISSN: | 0020-7683 |
| Popis: | We develop a new technique for finding elastic fields for axisymmetric dilatational inclusions (DIs) in the forms of finite cylinder and truncated sphere, when the DIs and surrounding infinite matrix have the same isotropic elastic moduli. DIs are built of circular dilatational disks distributed continuously along the axis of symmetry. Total displacements of DIs are found by integration of the displacements of a dilatational disk. Then, using the linear elasticity equations, the elastic fields of cylindrical and truncated spherical DIs are derived and written via compact easy-to-read and easy-to-calculate Lipschitz-Hankel integrals and Lur'e series, correspondingly. The independence of the strain energy and the elastic dilatation on the DI shape is confirmed. The effect of the aspect ratio and the shape on the elastic fields of the DIs is analyzed. The elastic model of Janus particle and other possible useful applications of solved problems are discussed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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