Elastic Analysis of a Half-Plane Containing Multiple Inclusions Using Volume Integral Equation Method

2008 ◽  
Vol 32 (2) ◽  
pp. 148-161
Author(s):  
Jung-Ki Lee ◽  
Duck-Young Ku
Keyword(s):  
Integral Equation ◽  
Half Plane ◽  
Integral Equation Method ◽  
Equation Method ◽  
Elastic Analysis ◽  
Volume Integral ◽  
Volume Integral Equation ◽  
Volume Integral Equation Method

scholarly journals The Adaptive Cross Approximation Technique for a Volume Integral Equation Method Applied to Nonlinear Magnetostatic Problems

2014 ◽  
Vol 50 (2) ◽  
pp. 445-448 ◽  
Author(s):  
Vinh Le-Van ◽  
Bertrand Bannwarth ◽  
Anthony Carpentier ◽  
Olivier Chadebec ◽  
Jean-Michel Guichon ◽  
...  
Keyword(s):  
Integral Equation ◽  
Integral Equation Method ◽  
Equation Method ◽  
Approximation Technique ◽  
Volume Integral ◽  
Volume Integral Equation ◽  
Adaptive Cross Approximation ◽  
Volume Integral Equation Method

Parallel Volume Integral Equation Method for Two-Dimensional Elastodynamic Analysis

2019 ◽  
Vol 16 (06) ◽  
pp. 1840025
Author(s):  
Jungki Lee ◽  
Hogwan Jeong
Keyword(s):  
Integral Equation ◽  
Wave Scattering ◽  
Integral Equation Method ◽  
Equation Method ◽  
Two Dimensional ◽  
Volume Integral ◽  
Scattering Problems ◽  
Volume Integral Equation ◽  
Parallel Volume ◽  
Volume Integral Equation Method

The parallel volume integral equation method (PVIEM) is applied for the analysis of two-dimensional elastic wave scattering problems in an unbounded isotropic solid containing various types of multiple multilayered anisotropic inclusions. It should be noted that the volume integral equation method (VIEM) does not require the use of the Green’s function for the anisotropic inclusion — only the Green’s function for the unbounded isotropic matrix is needed. A detailed analysis of the SH wave scattering problem is presented for various types of multiple multilayered orthotropic inclusions. Numerical results are presented for the elastic fields at the interfaces for square and hexagonal packing arrays of various types of multilayered orthotropic inclusions in a broad frequency range of practical interest. Standard parallel programming was used to speed up computation in the VIEM. The PVIEM enables us to investigate the effects of single/multiple scattering, fiber packing type, fiber volume fraction, single/multiple layer(s), multilayer’s shapes and geometry, isotropy/anisotropy, and softness/hardness of various types of multiple multilayered anisotropic inclusions on displacements and stresses at the interfaces of the inclusions and far-field scattering patterns. Also, powerful capabilities of the PVIEM for the analysis of general two-dimensional multiple scattering problems are investigated.

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