Analysis of Stress Intensity Factor for Moving Crack in Initially Stressed Functionally Graded Dry Sandy Elastic Medium
ABSTRACT This study provides an analytical investigation into the propagation of a semi‐infinite crack in a functionally graded dry sandy strip (FGDSS) under initial stress conditions influenced by the propagation of SH‐waves. The Wiener–Hopf (WH) procedure & two‐sided Fourier integral transforms (FIT) have been utilized to derive a closed‐form expression for the stress intensity factor (SIF) under a force of constant intensity (CF). Numerical computations and graphical representations reveal the impact of factors such as crack speed, crack length, horizontal, and vertical initial stress, functional gradient & sandiness parameter on the SIF in FGDSS. Additionally, special cases have been derived from the SIF expression for CF, and a comparative study has been conducted for SIF under various configurations.
Authors
- Priyanka Kumari
- Ajeet Kumar Singh (ORCID: https://orcid.org/0000-0002-9304-8833)
- Praveen Kumar
- Ram Prasad Yadav (ORCID: https://orcid.org/0000-0003-1231-4130)
- Abhishek Kumar Singh (ORCID: https://orcid.org/0000-0001-7291-1565)
Institutions
- Galgotias University (IN)
- Indian Institute of Technology Dhanbad (IN)
- Sardar Vallabhbhai Patel University of Agriculture & Technology (IN)
- SRM University (IN)
Publication Details
- Journal
- ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
- Published
- 2026-05-01
- DOI
- https://doi.org/10.1002/zamm.70447
- Primary Topic
- Numerical methods in engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00