Scattering of a plane harmonic SH wave by a rough multilayered inclusion of arbitrary shape

Dravinski, Marijan; Sheikhhassani, Ramtin

doi:10.1016/j.wavemoti.2013.02.014

Cited by 32 publications

(11 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then, a precise knowledge of the displacements on interfaces of multiple multilayered anisotropic elliptical inclusions under remote dynamic loading can be used as one of the most important influential factors on predicting the failure and damage mechanisms in composites [29]. Therefore, the formulations developed in this paper in conjunction with other useful methods [8,30] can be used to calculate other quantities of practical interest in realistic models of materials containing strong anisotropic and/or heterogeneous inclusions of arbitrary shapes.…”

Section: Discussionmentioning

confidence: 99%

Multiple Scattering Using Parallel Volume Integral Equation Method: Interaction of SH Waves with Multiple Multilayered Anisotropic Elliptical Inclusions

Lee

Jeong

2015

Mathematical Problems in Engineering

View full text Add to dashboard Cite

The parallel volume integral equation method (PVIEM) is applied for the analysis of elastic wave scattering problems in an unbounded isotropic solid containing multiple multilayered anisotropic elliptical inclusions. This recently developed numerical method does not require the use of Green’s function for the multilayered anisotropic inclusions; only Green’s function for the unbounded isotropic matrix is needed. This method can also be applied to solve general two- and three-dimensional elastodynamic problems involving inhomogeneous and/or multilayered anisotropic inclusions whose shape and number are arbitrary. A detailed analysis of the SH wave scattering is presented for multiple triple-layered orthotropic elliptical inclusions. Numerical results are presented for the displacement fields at the interfaces for square and hexagonal packing arrays of triple-layered elliptical inclusions in a broad frequency range of practical interest. It is necessary to use standard parallel programming, such as MPI (message passing interface), to speed up computation in the volume integral equation method (VIEM). Parallel volume integral equation method as a pioneer of numerical analysis enables us to investigate the effects of single/multiple scattering, fiber packing type, fiber volume fraction, single/multiple layer(s), multilayer’s shape and geometry, isotropy/anisotropy, and softness/hardness of the multiple multilayered anisotropic elliptical inclusions on displacements at the interfaces of the inclusions.

show abstract

Section: Discussionmentioning

confidence: 99%

Multiple Scattering Using Parallel Volume Integral Equation Method: Interaction of SH Waves with Multiple Multilayered Anisotropic Elliptical Inclusions

Lee

Jeong

2015

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…Furthermore, since standard finite elements are used in the VIEM, it is easier and more convenient to handle multiple nonsmooth anisotropic inclusions. Therefore, the formulations developed in this paper in conjunction with other useful methods [18,19] can be used to calculate the dynamic stress intensity factors and other quantities of practical interest in realistic models of materials containing strong heterogeneities.…”

Section: Discussionmentioning

confidence: 99%

SH Wave Scattering Problems for Multiple Orthotropic Elliptical Inclusions

Lee

Han

Ahn

2013

Advances in Mechanical Engineering

View full text Add to dashboard Cite

A volume integral equation method (VIEM) is applied for the effective analysis of elastic wave scattering problems in unbounded solids containing general anisotropic inclusions. It should be noted that this numerical method does not require use of Green's function for anisotropic inclusions to solve this class of problems since only Green's function for the unbounded isotropic matrix is necessary for the analysis. This new method can also be applied to general two-dimensional elastodynamic problems involving arbitrary shapes and numbers of anisotropic inclusions. A detailed analysis of SH wave scattering problems is developed for an unbounded isotropic matrix containing multiple orthotropic elliptical inclusions. Numerical results are presented for the displacement fields at the interfaces of the inclusions in a broad frequency range of practical interest. Through the analysis of plane elastodynamic problems in an unbounded isotropic matrix with multiple orthotropic elliptical inclusions, it is established that this new method is very accurate and effective for solving plane elastic problems in unbounded solids containing general anisotropic inclusions of arbitrary shapes.

show abstract

“…There have been several solutions for the scattering and diffraction of elastic waves by a three-dimensional alluvial valley. Dravinski (1982Dravinski ( , 1983 has used the indirect boundary integral method to study the amplifi cation of waves by a dipping layer of arbitrary shape subject to incident P-waves. Using the method of wave function expansion, Bravo and Sanchez-Sesma (1990) and Moeen-Vaziri and Trifunac (1988a, b) have investigated the diffraction of plane waves by an alluvial valley.…”

Section: Introductionmentioning

confidence: 99%

Dynamic responses of a sediment-filled valley with a fluid layer subject to incident waves

Liao

2011

Earthq. Eng. Eng. Vib.

View full text Add to dashboard Cite

The diffraction of elastic waves by a sedimentary valley in a homogeneous elastic half-space is studied in this paper. The sediment-fi lled valley is composed of a fl uid layer over a soft soil deposit whose characteristics may be signifi cant and should be carefully considered when designing long span bridges with high piers. The method of analysis adopted in the paper is to decompose the problem into an interior region and an exterior region. In the exterior region, the scattered wave fi elds are constructed with the linear combinations of two independent sets of Lamb's singular solutions, i.e., the integral solutions for two concentrated surface loads in two directions; and their derivatives are used to represent the scattered wave fi elds. A technique is proposed to calculate the integrals in the wave-number domain based on the method of steepest descent. For the interior region, the wave fi elds for the fl uid layer and soft soil deposit are expressed in terms of wave functions which satisfy the equation of motion. The continuity condition at the interface of the media is satisfi ed in the least square sense. The effects of geometric topography, soil amplifi cation and fl uid layer subject to different types of incident harmonic plane waves are analyzed and discussed..

show abstract

Scattering of a plane harmonic SH wave by a rough multilayered inclusion of arbitrary shape

Cited by 32 publications

References 11 publications

Multiple Scattering Using Parallel Volume Integral Equation Method: Interaction of SH Waves with Multiple Multilayered Anisotropic Elliptical Inclusions

Multiple Scattering Using Parallel Volume Integral Equation Method: Interaction of SH Waves with Multiple Multilayered Anisotropic Elliptical Inclusions

SH Wave Scattering Problems for Multiple Orthotropic Elliptical Inclusions

Dynamic responses of a sediment-filled valley with a fluid layer subject to incident waves

Contact Info

Product

Resources

About