“…(12) is then written over each Applying the Gauss divergence theorem to the left hand side integral in Eq. (14) leads to…”
Section: The Mlpg Formulationmentioning
confidence: 99%
“…Several numerical tools have been developed for elastic wave propagation analysis, including the wellknown boundary element method (BEM) [4][5][6], the finite element method (FEM) [7,8], the hybrid numerical method [9] and meshless methods [10,11]. The numerical meshfree analysis of wave propagation in functionally graded media is set out in [12][13][14][15]. Wilcox et al [16] introduced a higher order discontinuous Galerkin scheme for the 3D wave propagation analysis of coupled elastic-acoustic media that can be applied to seismic exploration and geophysical problems.…”
“…(12) is then written over each Applying the Gauss divergence theorem to the left hand side integral in Eq. (14) leads to…”
Section: The Mlpg Formulationmentioning
confidence: 99%
“…Several numerical tools have been developed for elastic wave propagation analysis, including the wellknown boundary element method (BEM) [4][5][6], the finite element method (FEM) [7,8], the hybrid numerical method [9] and meshless methods [10,11]. The numerical meshfree analysis of wave propagation in functionally graded media is set out in [12][13][14][15]. Wilcox et al [16] introduced a higher order discontinuous Galerkin scheme for the 3D wave propagation analysis of coupled elastic-acoustic media that can be applied to seismic exploration and geophysical problems.…”
“…This failure can be attributed to impact during launch by a piece of heat insulated bushing weighing less than 2 kg. In order to avoid such catastrophic failures in the future, a methodological study aimed at studying impact and damage diagnosis of composite materials has always become a hot topic for health monitoring of structures [5][6][7][8][9][10][11][12][13][14].…”
“…Shear horizontal (SH) wave propagation in layered media has attracted a lot of attention [1][2][3][4][5][6][7][8][9][10] in several decades due to its theoretical significance and engineering application. In particular, this wave propagation in infinite periodic layered media [3,5,8,[11][12][13][14] has been focused on by many researchers in recent years, because of its band gap property, which can be used as new acoustic devices like filters and transducers.…”
Section: Introductionmentioning
confidence: 99%
“…In particular, this wave propagation in infinite periodic layered media [3,5,8,[11][12][13][14] has been focused on by many researchers in recent years, because of its band gap property, which can be used as new acoustic devices like filters and transducers. Among these works, complicated situations have been considered to study influences of piezoelectricity [13,14], piezomagnetism [11], imperfect interface [12], incident angle [4], disorder [3], and functionally graded material [5] on the band gap property. In this paper, different from the previous studies which are based on the infinite completely periodic cases with emphasis placed on the effect factors of band gap, the finite graded piezoelectric layered media are considered.…”
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