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Analytical expressions for the two basic modes of surface displacement and overall deformation of a free-standing or elastically embedded sphere
- Publication Year :
- 2024
-
Abstract
- Calculating by analytical theory the deformation of finite-sized elastic bodies in response to internally applied forces is a challenge. Here, we derive explicit analytical expressions for the amplitudes of modes of surface deformation of a homogeneous, isotropic, linearly elastic sphere. The modes under consideration correspond to overall changes in volume and to relative uniaxial elongation or contraction. Both situations of an elastic sphere embedded under no-slip conditions in a linearly elastic, homogeneous, isotropic, infinitely extended background medium and of a free-standing elastic sphere are considered. For example, our analytical expressions are important as a basis for computational material optimization in the context of spherical soft actuators.<br />Comment: 29 pages, 0 figures
- Subjects :
- Condensed Matter - Soft Condensed Matter
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2407.09291
- Document Type :
- Working Paper