Nonlocal effects on propagation of waves in a generalized thermoelastic solid half space

IF 2.2 4区 工程技术 Q2 ENGINEERING, CIVIL
Baljeet Singh, R. Bijarnia
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引用次数: 5

Abstract

The propagation of plane waves in a linear, homogeneous and isotropic nonlocal generalized thermoelastic solid medium is considered in the framework of Lord and Shulman generalization. The governing field equations are formulated and specialized in a plane. Plane wave solutions of governing equations show that there exists three plane waves, namely, P, thermal and SV waves which propagate with distinct speeds. Reflection of P and SV waves from thermally insulated or isothermal boundary of a half-space is considered. The relevant boundary conditions are applied at stress free boundary and a nonhomogeneous system of three equations in reflection coefficients is obtained. For incidence of both P and SV waves, the expressions for energy ratios of reflected P, thermal and SV waves are also obtained. The speeds and energy ratios of reflected waves are computed for relevant physical constants of a thermoelastic material. The speeds of plane waves are plotted against nonlocal parameter and frequency. The energy ratios of reflected waves are also plotted against the angle of incidence of P wave at a thermally insulated stress-free surface. The effect of nonlocal parameter is shown graphically on the speeds and energy ratios of reflected waves.
广义热弹性固体半空间中波传播的非局部效应
在Lord和Shulman推广的框架下,研究了平面波在线性、均匀、各向同性非局部广义热弹性固体介质中的传播。控制场方程在平面上进行了公式化和专门化。控制方程的平面波解表明,存在以不同速度传播的三种平面波,即P波、热波和SV波。研究了半空间绝热边界和等温边界对P波和SV波的反射。在无应力边界处应用相应的边界条件,得到了反射系数三方程的非齐次方程组。对于P波和SV波入射,也得到了反射P波、热波和SV波的能量比表达式。根据热弹性材料的相关物理常数,计算了反射波的速度和能量比。平面波的速度随非局部参数和频率的变化而变化。在绝热无应力表面上,反射波的能量比与P波入射角的关系也被绘制出来。用图形表示了非定域参数对反射波速度和能量比的影响。
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来源期刊
Structural Engineering and Mechanics
Structural Engineering and Mechanics 工程技术-工程:机械
CiteScore
3.80
自引率
18.20%
发文量
0
审稿时长
11 months
期刊介绍: The STRUCTURAL ENGINEERING AND MECHANICS, An International Journal, aims at: providing a major publication channel for structural engineering, wider distribution at more affordable subscription rates; faster reviewing and publication for manuscripts submitted; and a broad scope for wider participation. The main subject of the Journal is structural engineering concerned with aspects of mechanics. Areas covered by the Journal include: - Structural Mechanics - Design of Civil, Building and Mechanical Structures - Structural Optimization and Controls - Structural Safety and Reliability - New Structural Materials and Applications - Effects of Wind, Earthquake and Wave Loadings on Structures - Fluid-Structure and Soil-Structure Interactions - AI Application and Expert Systems in Structural Engineering. Submission of papers from practicing engineers is particularly encouraged.
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