<abstract xmlns="http://www.w3.org/1999/xhtml">

In this paper, the problem of two equal collinear cracks is analytically studied for two-dimensional (2D) arbitrarily polarized magneto-electro-elastic materials. The electric and magnetic poling directions make arbitrary angles with the crack line. The Stroh's formalism and complex variable methodology is utilized to reduce the problem into non-homogeneous Riemann Hilbert problem. This numerical problem is then comprehended with the Riemann Hilbert way to obtain the intensity factors for stress, electric displacement and magnetic induction. A numerical contextual analysis is displayed for the <italic>BaTiO</italic>3 – <italic>CoFe</italic>2<italic>O</italic>4 composite. The numerical examination demonstrates that the change in electric/magnetic poling directions influences the intensity factors.
</abstract>

In this paper, the problem of two equal collinear cracks is analytically studied for two-dimensional (2D) arbitrarily polarized magneto-electro-elastic materials. The electric and magnetic poling directions make arbitrary angles with the crack line. The Stroh's formalism and complex variable methodology is utilized to reduce the problem into non-homogeneous Riemann Hilbert problem. This numerical problem is then comprehended with the Riemann Hilbert way to obtain the intensity factors for stress, electric displacement and magnetic induction. A numerical contextual analysis is displayed for the BaTiO3 – CoFe2O4 composite. The numerical examination demonstrates that the change in electric/magnetic poling directions influences the intensity factors.

Two equal collinear cracks in magneto-electro-elastic materials: A study of electric and magnetic poling influences

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

In this paper, the problem of two equal collinear cracks is analytically studied for two-dimensional (2D) arbitrarily polarized magneto-electro-elastic...

Two equal collinear cracks in magneto-electro-elastic materials: A study of electric and magnetic poling influences

Published Online: Jun 26, 2020

Page range: 403 - 420

Received: Aug 22, 2020

Accepted: Jan 04, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00009

Keywords
complex variable, collinear cracks, piezomagnetic/piezoelectric composite, poling directions, Riemann-Hilbert problem

© 2020 Kamlesh Jangid, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Two equal collinear cracks in magneto-electro-elastic materials: A study of electric and magnetic poling influences

Published Online: Jun 26, 2020

Page range: 403 - 420

Received: Aug 22, 2020

Accepted: Jan 04, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00009

Keywordscomplex variable, collinear cracks, piezomagnetic/piezoelectric composite, poling directions, Riemann-Hilbert problem

© 2020 Kamlesh Jangid, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
complex variable, collinear cracks, piezomagnetic/piezoelectric composite, poling directions, Riemann-Hilbert problem