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Said SM, Abd-Elaziz EM, Othman MIA. Wave propagation on a nonlocal porous medium with memory-dependent derivative and gravity. INTERNATIONAL JOURNAL OF COMPUTATIONAL MATERIALS SCIENCE AND ENGINEERING 2024; 13. [DOI: 10.1142/s204768412350015x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/02/2023]
Abstract
In this paper, a novel model in a nonlocal porous thermoelastic solid is formulated based on the dual-phase-lag model (DPL), the Lord–Shulman theory and coupled theory with a memory-dependent derivative. The Laplace–Fourier technique is used to solve the problem and to obtain the exact expressions of physical fields. Numerical calculation of temperature, displacement, change in the volume fraction and stress is carried out and displayed graphically. Comparisons are made with the results predicted in the absence and presence of the gravity field as well as a nonlocal parameter. Comparisons are also made with results for different memory Kernel.
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Affiliation(s)
- Samia M. Said
- Department of Mathematics, Faculty of Science, Zagazig University, P. O. Box 44519, Zagazig, Egypt
| | - Elsayed M. Abd-Elaziz
- Department of Basic Sciences, Zagazig Higher Institute of Engineering and Technology, Zagazig, Egypt
| | - Mohamed I. A. Othman
- Department of Mathematics, Faculty of Science, Zagazig University, P. O. Box 44519, Zagazig, Egypt
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