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

Applied Mathematics and Nonlinear Sciences

Jangid Kamlesh¹ 

[1] Department of Mathematics, Rajasthan Technical University Kota, India324010;

关键词: complex variable;    collinear cracks;    piezomagnetic/piezoelectric composite;    poling directions;    riemann-hilbert problem;   

DOI  :  10.2478/amns.2020.2.00009

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown