Mathematical modelling of Love waves propagation in viscoelastic waveguide loaded with complex fluids
نویسندگان
چکیده
Love waves propagation in a viscoelastic waveguide loaded on its surface with fluids of finite thickness is investigated this paper. The Maxwell and Kelvin-Voigt constitutive equations are employed order to describe the fluid viscoelasticity. By solving motion different media (viscoelastic fluid, elastic substrate) imposing suitable boundary conditions, an accurate simple generalized complex dispersion equation established for waves. Subsequently, comparison made published literature some particular cases, very good agreement showed. A detailed study was conducted by varying key parameters such as operating frequency, thickness. subjected various glycerol concentrations, wide range dynamic viscosity, representing both Newtonian behaviors. Theoretical analysis shows that reasonably predict characteristics responses waves, more appropriate low concentration and, high at frequency. Results also evaluated influence layer curves. obtained results can be useful design optimization wave sensors.
منابع مشابه
Study of Love Waves in a Clamped Viscoelastic Medium with Irregular Boundaries
A mathematical model is presented to investigate the effects of sandiness, irregular boundary interfaces, heterogeneity and viscoelasticity on the phase velocity of Love waves. Geometry of the problem is consisting of an initially stressed viscoelastic layer with corrugated irregular boundaries, which is sandwiched between heterogeneous orthotropic semi-infinite half-space with initial stress a...
متن کاملMathematical Modelling of Generation and Forward Propagation of Dispersive Waves
The Kadomtsev-Petviashvili equation describes nonlinear dispersive waves which travel mainly in one direction, generalizing the Korteweg de Vries equation for purely uni-directional waves. In this paper we derive an improved KP-equation that has exact dispersion in the main propagation direction and that is accurate in second order of the wave height. Moreover, different from the KP-equation, t...
متن کاملEffect of Initial Stress on Propagation of Love Waves in an Anisotropic Porous Layer
In the present paper, effect of initial stresses on the propagation of Love waves has been investigated in a fluid saturated, anisotropic, porous layer lying in welded contact over a prestressed, non-homogeneous elastic half space. The dispersion equation of phase velocity has been derived. It has been found that the phase velocity of Love waves is considerably influenced by porosity and anisot...
متن کاملPropagation of elastic waves in a fluid-loaded anisotropic functionally graded waveguide: application to ultrasound characterization.
Non-destructive evaluation of heterogeneous materials is of major interest not only in industrial but also in biomedical fields. In this work, the studied structure is a three-layered one: A laterally heterogeneous anisotropic solid layer is sandwiched between two acoustic fluids. An original method is proposed to solve the wave equation in such a structure without using a multilayered model fo...
متن کاملModelling of Love Waves in Fluid Saturated Porous Viscoelastic Medium resting over an Exponentially Graded Inhomogeneous Half-space Influenced by Gravity
The present article is devoted to a theoretical study on Love wave vibration in a pre-stressed fluid-saturated anisotropic porous viscoelastic medium embedded over an inhomogeneous isotropic half-space influenced by gravity. The expression of dispersion has been achieved with the help of mathematical tools such as variable separable method and Whittaker’s function’s expansion under certain boun...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2021
ISSN: ['1872-8480', '0307-904X']
DOI: https://doi.org/10.1016/j.apm.2021.03.037