Green's kernels for transmission problems in bodies with small inclusions

2010/05/24 by Vladimir Maz’ya, Vladimir Maz'ya, A. B. Movchan +5
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Numerical methods in inverse problems #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1005.4362

39 pages, 6 figures

arxiv created 2010/05/24 · arxiv updated 2010/05/25

Abstract

The uniform asymptotic approximation of Green's kernel for the transmission problem of antiplane shear is obtained for domains with small inclusions. The remainder estimates are provided. Numerical simulations are presented to illustrate the effectiveness of the approach.

Related

• Asymptotic analysis of solutions to transmission problems in solids with many inclusions
• Uniform asymptotic formulae for Green's kernels in regularly and singularly perturbed domains
• Asymptotic behavior of solutions of the linearized Euler equations near a shear layer
• Antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies
• Inverse antiplane problem on n uniformly stressed inclusions