A facile method to realize perfectly matched layers for elastic waves

Shear-wave manipulation by embedded soft devices

“…2(b). On the periphery of the un-deformed domain, perfectly matched layers (not shown) [24] are applied to avoid unnecessary reflection. An S-wave Gaussian beam is imported at an appropriate location as needed.…”

Reduction of technological risks of flight operation by artificial formation of the buffer zone to penetrating acoustic radiation

“…In the technique of an ideally selected layer (ISL), an artificial layer is introduced in modeling the wave propagation as a boundary condition, which absorbs all the incident waves without any mapping [15]. It is believed that such layer is impossible because of its complex formation of material.…”

Perfectly matched layers for flexural waves: An exact analytical model

“…Such a model, based on coordinate transformation, include previously proposed PMLs obtained introducing artificial dissipation in the form of complex linear stiffness and density, respectively. In Sacks et al (1995) complex material parameters were used to build PMLs for electromagnetic problems, which are governed by Helmholtz equations, while the conformal mapping technique was applied in Chang et al (2014) in order to define PMLs for the plane elastodynamic problem governed by a system of secondorder PDE. Here we consider the general transformation g(x ) = x + iα(x − x 0 ) n , where α and n are two parameters that can be varied in order to tune the wave damping.…”

“…In Chang et al (2014) the construction of PMLs for elastic wave propagation was linked to conformal mapping techniques adopted for the design of invisibility cloaks ( Milton et al, 2006;Brun et al, 2009;Norris and Shuvalov, 2011 ), a technique implemented in the numerical simulation given in Brun et al (2009) . Here we implement a similar approach for the problem of flexural waves ( Brun et al, 2014a;Colquitt et al, 2014;Jones et al, 2015 ).…”