Notch Tip Singularities of Elastic Piezoelectric Bi-materials

Miroslav Hrstka, Michal Kotoul, Tomáš Profant
2019 Procedia Structural Integrity  
The paper investigates an asymptotic in-plane problem of clamped piezoelectric bi-material notch using the expanded Lehknitskii-Eshelby-Stroh formalism. It is established the eigenvalue problem for the regular and auxiliary solution of the problem from the boundary conditions prevailing at the notch tip where the one of the notch face is clamped. The regular as well as auxiliary solutions enter to the Ψ-integral generalized for piezoelectric bi-materials, which is used to evaluate the
more » ... luate the generalized stress intensity factors of the particular piezoelectric bi-material notch configuration. Abstract The paper investigates an asymptotic in-plane problem of clamped piezoelectric bi-material notch using the expanded Lehknitskii-Eshelby-Stroh formalism. It is established the eigenvalue problem for the regular and auxiliary solution of the problem from the boundary conditions prevailing at the notch tip where the one of the notch face is clamped. The regular as well as auxiliary solutions enter to the Ψ-integral generalized for piezoelectric bi-materials, which is used to evaluate the generalized stress intensity factors of the particular piezoelectric bi-material notch configuration.
doi:10.1016/j.prostr.2020.01.123 fatcat:jxo2cbyjqvap5md4shjsidh24a