Ecsedi, István and Baksa, Attila (2016) Spherical strain state of incompressible elastic bodies. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 11 (1). pp. 17-32. ISSN 1586-2070
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Abstract
This paper is concerned with the statics of an isotropic, linearly elastic, homogeneous incompressible body. The body considered is bounded by two spherical surfaces and two conical surfaces. The centre of the spherical surfaces and the apex of conical surfaces are the same point. The concept of the spherical strain state is introduced and the concerning boundary value problem of elastic equilibrium is formulated in terms of a displacement potential and the mean stress. Two examples illustrate the applications of the derived equations. The analytical solutions we have obtained are compared with FEM solutions computed by the Abaqus finite element software.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | spherical strain state, incompressible, linearly elastic |
| Subjects: | Q Science / természettudomány > QC Physics / fizika > QC01 Mechanics / mechanika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 22 Dec 2025 14:57 |
| Last Modified: | 22 Dec 2025 14:57 |
| URI: | https://real.mtak.hu/id/eprint/231030 |
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