Abstract
Detection of micro-cracks is very important to lengthen the lifetime of structures because micro-crack is a signal of initiation and growth of deterioration of materials and eventually degrades the mechanical performance of structures. However, no practically useful non-destructive testing device for large scale structures can capture the essential micro-crack for large structures in reality. In the meanwhile, nowadays, non-destructive testing simulation is also gaining attention. The term, non-destructive testing simulation, means a numerical testing for crack inspection applying computational mechanics. The present study proposes a method to determine micro-crack topology giving an equivalent homogenized macro-stiffness tensor to the prescribed anisotropic material stiffness tensor by applying an inverse-homogenization method. We demonstrate the accuracy of the evaluation of the proposed method in terms of a series of numerical simulations.
