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Two-dimensional wave propagation in an elastic half-space with quadratic nonlinearity: A numerical study
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10.1121/1.3075597
/content/asa/journal/jasa/125/3/10.1121/1.3075597
http://aip.metastore.ingenta.com/content/asa/journal/jasa/125/3/10.1121/1.3075597

Figures

Image of FIG. 1.
FIG. 1.

Half-space at with a load applied normal to the surface together with the semi-infinite physical domain and the finite computational domain with numerical boundaries at and .

Image of FIG. 2.
FIG. 2.

Extension of the computational domain by ghost-cells at .

Image of FIG. 3.
FIG. 3.

Numerical solution of displacement at and and exact solution for the original linear Lamb problem.

Image of FIG. 4.
FIG. 4.

Numerical solution of the particle velocities (left) and (right) in linear and nonlinear media at and [(a) and (b)] and and [(c) and (d)].

Image of FIG. 5.
FIG. 5.

Propagating wave fronts of in a nonlinear elastic half-space at different fixed times: (a) , (b) , (c) , and (d) .

Image of FIG. 6.
FIG. 6.

FFT of the particle velocity in nonlinear (solid) and linear (dashed) media at and different angles with zoom: (a) , (b) , (c) , and (d) .

Image of FIG. 7.
FIG. 7.

FFT of the particle velocity in nonlinear (solid) and linear (dashed) media at and different angles : (a) , (b) , (c) , and (d) .

Image of FIG. 8.
FIG. 8.

of the FFT of over the propagation distance for different angles .

Image of FIG. 9.
FIG. 9.

Nonlinearity parameter over the angle .

Image of FIG. 10.
FIG. 10.

normalized by its value for aluminum at for different fixed ( , , and ) in dependence of (left) and for different fixed ( , , and ) in dependence of (right).

Image of FIG. 11.
FIG. 11.

Normalized nonlinearity parameter over the angle for different and . The parameters and denote and , respectively.

Image of FIG. 12.
FIG. 12.

Discretized Cartesian grid with the corresponding numerical fluxes.

Tables

Generic image for table
TABLE I.

Material and input parameters.

Generic image for table
TABLE II.

Simulation parameters.

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/content/asa/journal/jasa/125/3/10.1121/1.3075597
2009-03-01
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Two-dimensional wave propagation in an elastic half-space with quadratic nonlinearity: A numerical study
http://aip.metastore.ingenta.com/content/asa/journal/jasa/125/3/10.1121/1.3075597
10.1121/1.3075597
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