Dynamic stress concentrations in piezoelectric materials with semi-elliptical surface notches under shear horizontal waves
- Title
- Dynamic stress concentrations in piezoelectric materials with semi-elliptical surface notches under shear horizontal waves
- Creator
- Kaushik, Arakya; Mittal, Anu; Saeed, Abdulkafi Mohammed; Khan, Mohiuddin Ali; Chaudhary, Anjali; Kumar, Deepak
- Description
- Dynamic loading causes high stress concentrations at surface notches, which are further aggravated by piezoelectric effects. This research presents a novel semi-analytical technique for studying dynamic stress concentrations in semi-elliptical surface notches in piezoelectric materials subjected to shear horizontal (SH) wave incidence. The mirror technique is employed to apply traction-free and electrically insulating boundary conditions, converting the half-space problem into its analogous full-space form. Mathieu functions and elliptical coordinate system are adopted to model the geometry of the semi-elliptical notch accurately. By separating the governing equations, the potential function is obtained, and boundary conditions are applied to construct an infinite set of linear algebraic equations. To ensure reliability of the solution, a truncation scheme based on Mathieu function convergence behavior is proposed before solving the system. Numerical simulations are performed with a thorough parametric study to reveal the effects of important parameters like the incidence angle of waves, wave frequency, notch depth, and piezoelectric material characteristics on the behavior of scattered wave fields and dynamic stress concentrations. The presented model enjoys wide geometric applicability, provides necessary theoretical guidelines for the design of piezoelectric elements and serves as a baseline for the validation of computational approximations. The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2025.
- Source
- Acta Mechanica;Volume;236;Issue;9;pp.4993-5007
- Date
- 01-01-2025
- Publisher
- Springer
- Coverage
- Kaushik A., Christ University, Bengaluru, 560029, India; Mittal A., Department of Mechanical Engineering, Thapar Institute of Engineering and Technology, Patiala, India; Saeed A.M., Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia; Khan M.A., Department of Electrical and Electronics Engineering, Jazan University, KSA, Jazan, Saudi Arabia; Chaudhary A., Department of Management, College of Business Administration, Princess Nourah Bint Abdulrahman University, P.O.Box 84428, Riyadh, 11671, Saudi Arabia; Kumar D., Christ University, Bengaluru, 560029, India
- Rights
- Restricted Access; Hardcopy may be available in the library
- Relation
- ISSN: 15970; CODEN: AMHCA
- Format
- online
- Language
- English
- Type
- Article
Collection
Citation
Kaushik, Arakya; Mittal, Anu; Saeed, Abdulkafi Mohammed; Khan, Mohiuddin Ali; Chaudhary, Anjali; Kumar, Deepak, “Dynamic stress concentrations in piezoelectric materials with semi-elliptical surface notches under shear horizontal waves,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/21851.