Size-dependent analysis of surface wave in irregular fractured porous seabed subjected to fractional-order derivative
- Title
- Size-dependent analysis of surface wave in irregular fractured porous seabed subjected to fractional-order derivative
- Creator
- A. R M.; Dutta R.; Gupta V.; Singhal A.; Craciun E.-M.; Das S.
- Description
- This study focuses on the investigation of the dispersive and damping characteristics of surface waves through an irregular boundary of ocean bed composed of a fluid-saturated dual porosity/dual permeability material. The nonlocal fluid-saturated dual porosity/dual permeability layer (NFSDP2L) is confined by a nonlocal viscous liquid layer (NVLL) and a nonlocal viscous sandy substrate (NVSS) having fractional viscoelastic properties. The governing equations for the proposed model are derived using Eringens nonlocal theory. The complex frequency relation is obtained by applying the variable separation technique and enforcing appropriate boundary conditions. By dissociating the frequency relation into real (dispersion equation) and imaginary (attenuation equation) parts, graphs are generated to illustrate the influence of several key parameters., viz. nonlocality, porosity, sandiness, fractional-order, fluctuation, flatness, and position on the fundamental and higher modes of propagating waves. The effects of various parameters are also depicted through the graphical illustration of shear wave speed in NFSDP2L and NVSS. Furthermore, the surface response of shear stress against depth within the layered structure has been graphically illustrated. The validity of our mathematical model has been assessed by examining multiple relevant scenarios. 2025 Taylor & Francis Group, LLC.
- Source
- Mechanics of Advanced Materials and Structures
- Date
- 2025-01-01
- Publisher
- Taylor and Francis Ltd.
- Subject
- corrugation; dual porosity; fractional-order derivative; nonlocal elasticity theory; Surface waves; viscoelasticity
- Coverage
- A. R M., School of Physical Sciences, Amrita Vishwa Vidyapeetham, Karnataka, Mysuru, India; Dutta R., Amrita School of Computing, Amrita Vishwa Vidyapeetham, Karnataka, Mysuru, India; Gupta V., Department of Mathematics, Gurugram University, Gurugram, India; Singhal A., Department of Mathematics, Christ University, Bangalore, India; Craciun E.-M., Faculty of Mechanical, Industrial and Maritime Engineering, Ovidius University of Constanta, Constanta, Romania, Academy of Romanian Scientists, Bucharest, Romania; Das S., School of Physical Sciences, Amrita Vishwa Vidyapeetham, Karnataka, Mysuru, India
- Rights
- Restricted Access
- Relation
- ISSN: 15376494
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
A. R M.; Dutta R.; Gupta V.; Singhal A.; Craciun E.-M.; Das S., “Size-dependent analysis of surface wave in irregular fractured porous seabed subjected to fractional-order derivative,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/12583.