An interface crack with mixed electrical conditions at it faces in 1D quasicrystal with piezoelectric effect. Issue 23 (11th August 2022)

• Record Type: Journal Article
• Authors: Loboda, V.; Sheveleva, A.; Komarov, O.; Lapusta, Y.
• Is Part Of: Mechanics of advanced materials and structures. Volume 29:Issue 23(2022)
• Page Start: 3334
• Page End: 3344
• Publication Date: 2022-08-11
• Subjects: Interface crack -- quasicrystal -- piezoelectric effect -- mixed electric conditions -- analytical solution; Composite materials -- Mechanical properties -- Periodicals; Composite construction -- Periodicals; 620.118
• DOI: 10.1080/15376494.2021.1896056
• Languages: English
• ISSNs: 1537-6494

Abstract

Abstract: An interface crack in 1D piezoelectric quasicrystalline space is considered. Both conducting and mixed conducting-permeable electric conditions at the crack faces are studied. The matrix–vector representations of the phonon, phason and electric quantities via the sectional-holomorphic function are derived. Two types of electrical conditions at the crack faces are considered – conducting case and mixed conducting-permeable case. A Riemann problem of linear relationship and a combined Dirichlet–Riemann boundary value problem are derived. Exact analytical solutions of the mentioned problems are presented and the simple analytical formulas for all required values are given and numerically illustrated.