Love wave scattering by an interface crack between an orthotropic layer and an isotropic half-space

IF 1.9 4区工程技术 Q3 MECHANICS Continuum Mechanics and Thermodynamics Pub Date : 2025-03-10 DOI:10.1007/s00161-025-01375-y

Sourav Kumar Panja, Samim Alam, Subhas Chandra Mandal, Eduard-Marius Craciun

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Abstract

This research investigates the scattering behavior of Love waves, also known as Q waves in seismology, induced by an interface crack between an orthotropic elastic layer and an isotropic elastic half-space where the orthotropic layer serves as a wave guide medium. The Dispersion relation and phase velocity have been obtained by using convenient boundary conditions for the Love wave propagation. Using the method of Fourier transform and integral equation, the study derives the conditions governing wave propagation and scattering phenomena in the interfaced medium. The expression of the most important fracture quantities, such as dynamic stress intensity factor (DSIF) and crack opening displacement (COD) have been obtained and demonstrated graphically. Results demonstrate the dependence of scattering characteristics on the material properties, crack dimensions, layer height and wave frequencies. The findings contribute to a deeper understanding of Love wave propagation in composite materials, with implications for non-destructive testing and evaluation of structural integrity in engineering applications.

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本研究探讨了由正交弹性层和各向同性弹性半空间之间的界面裂缝诱发的爱波（也称为地震学中的 Q 波）的散射行为，其中正交弹性层是导波介质。利用爱波传播的方便边界条件，可以得到频散关系和相位速度。研究利用傅立叶变换和积分方程的方法，推导出了界面介质中波传播和散射现象的条件。研究获得了最重要的断裂量的表达式，如动态应力强度因子（DSIF）和裂缝张开位移（COD），并用图形进行了演示。结果表明，散射特性取决于材料特性、裂缝尺寸、层高和波频。这些发现有助于加深对复合材料中爱波传播的理解，对工程应用中的无损检测和结构完整性评估具有重要意义。

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来源期刊

Continuum Mechanics and Thermodynamics 物理-力学

CiteScore

5.30

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena. Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.