Direct Elastic Scattering Problems

Jingzhi Li () and Hongyu Liu ()
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Jingzhi Li: Southern University of Science and Technology, Department of Mathematics
Hongyu Liu: City University of Hong Kong, Department of Mathematics

Chapter Chapter 6 in Numerical Methods for Inverse Scattering Problems, 2023, pp 179-204 from Springer

Abstract: Abstract We first introduce the Lamé system that governs the elastic wave propagation in $$\mathbb {R}^n$$ R n , $$n=2, 3$$ n = 2 , 3 . Throughout, we let $$\mathscr {C}$$ C and $$\rho $$ ρ signify the constitutive material parameters of an elastic medium. Here, $$\mathscr {C}(\textbf{x})=(\mathscr {C}_{ijkl}(\textbf{x}))_{i,j,k,l=1}^n$$ C ( x ) = ( C ijkl ( x ) ) i , j , k , l = 1 n is a four-rank real-valued tensor satisfying the following symmetry property.

Date: 2023
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DOI: 10.1007/978-981-99-3772-1_6

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