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The contrast-source stress-velocity integral-equation formulation of three-dimensional time-domain elastodynamic
Adrianus T de Hoop1, Aria Abubakar, Tarek M Habashy
1Laboratory of Electromagnetic Research, Delft University of Technology, Delft, The Netherlands.
The Journal of the Acoustical Society of America
|September 11, 2009
Summary
This study introduces a novel tensor partitioning for 3D time-domain elastodynamic scattering, simplifying computational implementation. This new method offers a more natural characterization of elastic media compared to traditional Lame coefficients.
Area of Science:
- Computational physics
- Solid mechanics
- Wave propagation
Background:
- Elastodynamic scattering problems are crucial in geophysics and materials science.
- Existing integral-equation formulations can be computationally intensive.
- Characterizing elastic media traditionally relies on Lame coefficients.
Purpose of the Study:
- To discuss a contrast-source stress-velocity integral-equation formulation for 3D time-domain elastodynamic scattering.
- To introduce a novel tensor partitioning for enhanced computational implementation.
- To propose a more natural constitutive coefficient representation for elastic media.
Main Methods:
- Developed a contrast-source stress-velocity integral-equation formulation.
- Introduced a tensor partitioning of dynamic stress and contrast source volume density of deformation rate.
- Applied the formulation to an isotropic scatterer in an isotropic elastic background.
Main Results:
- The tensor partitioning reveals structural features beneficial for computational implementation.
- The formulation simplifies the analysis of elastodynamic scattering.
- Newly introduced constitutive coefficients provide a more natural characterization than Lame coefficients.
Conclusions:
- The proposed formulation and tensor partitioning offer an advantageous approach for 3D time-domain elastodynamic scattering.
- This method enhances computational efficiency and provides a more intuitive material characterization.
- The findings have implications for numerical simulations in solid mechanics and wave propagation.
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