Eigenfunction expansion method to characterize Rayleigh waves in nonlocal orthotropic thermoelastic medium with double porosity

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-10 DOI:10.1016/j.cnsns.2025.108599

Chandra Sekhar Mahato, Siddhartha Biswas

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Abstract

The present manuscript addresses the Rayleigh wave propagation in a nonlocal orthotropic thermoelastic half-space with double porosity within the dual-phase-lag model of hyperbolic thermoelasticity. An eigenvalue technique is used to solve the resulting vector-matrix differential equation. Boundary conditions include stress-free, thermally insulated, and isothermal surfaces. The frequency equations of Rayleigh waves are derived in numerous scenarios. The well-known frequency equation of the Rayleigh wave in classical elasticity is derived as a particular case from the present problem. Surface particle motion during Rayleigh wave propagation is derived. Throughout the motion, elliptical surface particle paths are observed. To illustrate and validate the analytical developments, the numerical solution of frequency equations, eccentricities, and inclination of particle trajectories with wave normal are performed, and the computer-simulated results are graphically displayed. The various Rayleigh wave characteristics, such as propagation speed, attenuation coefficient, penetration depth, and specific loss against wave number, are presented graphically.

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双孔隙非局部正交各向异性热弹性介质中瑞利波的特征函数展开法

本手稿探讨了双曲热弹性双相滞后模型中具有双孔性的非局部正交热弹性半空间中的瑞利波传播问题。采用特征值技术求解由此产生的矢量矩阵微分方程。边界条件包括无应力、热绝缘和等温表面。雷利波的频率方程是在许多情况下推导出来的。众所周知的经典弹性中的瑞利波频率方程就是从本问题中推导出来的一种特殊情况。推导了瑞利波传播过程中的表面粒子运动。在整个运动过程中，可以观察到椭圆形的表面粒子路径。为了说明和验证分析发展，对频率方程、偏心率和粒子轨迹与波法线的倾角进行了数值求解，并以图形显示了计算机模拟结果。各种瑞利波特性，如传播速度、衰减系数、穿透深度和比损耗与波数的关系，均以图形显示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.