Two non‐elliptical decagonal quasicrystalline inclusions with internal uniform hydrostatic phonon stresses
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Bibliographic record
Abstract
Abstract We use complex variable techniques to prove that the phonon stresses inside two non‐elliptical decagonal quasicrystalline inclusions can be uniform and hydrostatic provided four specific conditions are met. The first condition is a restriction on the phonon elastic constants of the two inclusions, whilst the remaining three conditions can be considered as constraints on the remote phonon and phason stresses for given material and geometric parameters. Once these conditions are satisfied, the hoop phonon stress in the matrix is found to be uniformly distributed along the two inclusion‐matrix interfaces. Moreover, the two inclusions are found to satisfy the harmonic field condition.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
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