Boundary element analysis of moiré fields in anisotropic materials

• Published in: Engineering analysis with boundary elements 1996-12, Vol.18 (4), p.317-325
• Main Authors: Berger, J.R., Tewary, V.K.
• Format: Article
• Language: English
• Subjects: anisotropic solids; Boundary element method; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Green's functions; Measurement and testing methods; Measurement methods and techniques in continuum mechanics of solids; moiré methods; Physics; Solid mechanics; Structural and continuum mechanics
• ISSN: 0955-7997; 1873-197X
• DOI: 10.1016/S0955-7997(96)00038-0

A procedure for analyzing moiré fringe patterns using boundary elements is presented. The kernels of the boundary integrals are based on anisotropic elastic Green's functions developed for bimaterial problems. The interfacial boundary conditions are incorporated in the Green's functions so the interface does not require discretization. The bimaterial kernels are also appropriate for homogeneous problems as well as degenerate isotropic problems. The moiré fringe data provide full-field displacement information and are analyzed in a least-squares sense. The numerical procedure is shown to be a logical extension of the local collocation method developed for linear elastic fracture mechanics. An example is given to investigate convergence of the method, predictions of stress, and to investigate factors influencing the analysis. It is shown that moiré fields associated with both displacement components are needed for an accurate analysis.