scholarly journals Scattering Calculations on the Basis of the Fredholm Integral Equation Method

1991 ◽  
Vol 126 ◽  
pp. 203-206
Author(s):  
M. Matsumura ◽  
M. Seki
Keyword(s):  
Integral Equation ◽  
Absorption Band ◽  
Electromagnetic Radiation ◽  
Fredholm Integral Equation ◽  
Present Method ◽  
Mie Theory ◽  
Integral Equation Method ◽  
Equation Method ◽  
Spherical Particles ◽  
Ellipsoidal Particles

AbstractThe Fredholm integral equation method (FIM) is one of the solutions to the soattering of electromagnetic radiation by homogeneous and isotropio ellipsoidal particles. Some numerical calculations are performed with the FIM. The results for spherical particles are compared with those by the Mie theory. It is confirmed that the agreement between them is satisfactory for all the models calculated.On the basis of the present method, we examine profiles of the absorption band around»= 10μmfor spherical and ellipsoidal particles composed of crystalline olivine. It is found that the profile strongly depends on the shape of the particle. Even when the particle is moderately elongated (axial ratios are 2: √2:1), the profile is Signifioantly different from that for a sphere.

A New Boundary Integral Equation Method for Cracked Piezoelectric Bodies

2006 ◽  
Vol 306-308 ◽  
pp. 465-470 ◽  
Author(s):  
Kuang-Chong Wu
Keyword(s):  
Integral Equation ◽  
Integral Equations ◽  
Present Method ◽  
Boundary Integral Equations ◽  
Integral Formula ◽  
Electric Displacement ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Equation Method ◽  
Intensity Factors

A novel integral equation method is developed in this paper for the analysis of two-dimensional general piezoelectric cracked bodies. In contrast to the conventional boundary integral methods based on reciprocal work theorem, the present method is derived from Stroh’s formalism for anisotropic elasticity in conjunction with Cauchy’s integral formula. The proposed boundary integral equations contain generalized boundary displacement (displacements and electric potential) gradients and generalized tractions (tractions and electric displacement) on the non-crack boundary, and the generalized dislocations on the crack lines. The boundary integral equations can be solved using Gaussian-type integration formulas without dividing the boundary into discrete elements. The crack-tip singularity is explicitly incorporated and the generalized intensity factors can be computed directly. Numerical examples of generalized stress intensity factors are given to illustrate the effectiveness and accuracy of the present method.

Sign in / Sign up

Export Citation Format

Share Document