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Abstract
This paper presents a framework for implementing a novel Perfectly Matching Layer and Infinite Element (PML+IE) combination boundary condition for unbounded elastic wave problems in the time domain. To achieve this, traditional hexahedral finite elements are used to model wave propagation in the inner domain and infinite element test functions are implemented in the exterior domain. Two alternative implementations of the PML formulation are studied: the case with constant stretching in all three dimensions and the case with spatially dependent stretching along a single direction. The absorbing ability of the PML+IE formulation is demonstrated by the favourable comparison with the reflection coefficient for a plane wave incident on the boundary achieved using a finite element only approach where stress free boundary conditions are implemented at the domain edge. Values for the PML stretching function parameters are selected based on the minimisation of the reflected wave amplitude and it is shown that the same reduction in reflection amplitude can be achieved using the PML+IE approach with approximately half of the number of elements required in the finite element only approach.
Original language  English 

Journal  Mathematics and Mechanics of Solids 
Publication status  Accepted/In press  2 Aug 2021 
Keywords
 finite elements
 infinite elements
 perfectly matching layer
 elastic waves
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AME NDT (Anisotropic Media Evaluation for NonDestructive Testing)
EPSRC (Engineering and Physical Sciences Research Council)
29/06/18 → 28/12/21
Project: Research Fellowship