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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Arbitrarily loaded circular crack in a piezoelectric solid of the symmetry class 6

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Author(s):
Aguiar, Adair R. [1, 2] ; Sevostianov, Igor [3]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Dept Struct Engn, EESC, BR-13566590 Sao Carlos, SP - Brazil
[2] Univ Sao Paulo, Interunit Grad Program Bioengn EESC FMRP IQSC, BR-13566590 Sao Carlos, SP - Brazil
[3] New Mexico State Univ, Dept Mech & Aerosp Engn, Las Cruces, NM 88003 - USA
Total Affiliations: 3
Document type: Journal article
Source: ACTA MECHANICA; v. 232, n. 7, p. 2659-2678, JUL 2021.
Web of Science Citations: 0
Abstract

The paper focuses on the problem of evaluating analytically the electric and elastic fields in a piezoelectric material of the symmetry class 6 containing a penny-shaped crack loaded by both normal and tangential tractions and by electric charges. A solution of this kind has been developed for symmetry class 6 mm by Karapetian et al. (Arch. Appl. Mech. 70: 201-229, 2000). To the best of our knowledge, it has never been derived for a material of class 6. The research is motivated by needs in evaluation of damage accumulated in bone tissue, which possesses such a symmetry. The problem is solved by the method of potential functions developed by Fabrikant (Applications of Potential Theory in Mechanics: Selection of New Results. Kluwer, Dordrecht,1989). Closed form solutions are obtained for the full electric and elastic fields. The approach is first verified by comparison with the results of Karapetian et al. (Arch. Appl. Mech. 70: 201-229, 2000) for the limiting case of piezoceramic of class 6 mm (PZT-6B) and then applied to calculation of the electroelastic fields associated with a penny-shaped crack in cortical bone (material of class 6). (AU)

FAPESP's process: 19/00428-7 - Development of nonlocal theory in solid mechanics
Grantee:Adair Roberto Aguiar
Support Opportunities: Regular Research Grants