The flexoelectric effect for interface cracks between two dissimilar materials
Tomas Profant, Jan Sladek, Vladimir Sladekdownload PDF
Abstract. It is developed the procedure of the assessment of the amplitude factors in the asymptotic solution for the interface crack between two flexoelectric materials. The stress exponents with the appropriate eigenvectors of the regular and auxiliary solutions are evaluated from the eigenvalue problem assembled from the boundary conditions prevailing at the tip of the crack. The amplitude factors of the asymptotic solution are computed from the two-state integrals in which the regular, auxiliary, and finite element solution represent the independent equilibrium states. The obtained results show the capability of the two-state integrals to extract the dominant terms of the asymptotic solution from the weak solution of the fracture problem represented by the finite element method. The amplitude factors representing the most singular terms of the asymptotic solution at the crack tip are quantities playing an important role in the problems of crack stability criterions.
Dielectric Material, Gradient Theory, Flexoelectricity, Asymptotic Solution, Mixed FEM
Published online 8/10/2023, 10 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Tomas Profant, Jan Sladek, Vladimir Sladek, The flexoelectric effect for interface cracks between two dissimilar materials, Materials Research Proceedings, Vol. 31, pp 99-108, 2023
The article was published as article 11 of the book Advanced Topics in Mechanics of Materials, Structures and Construction
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