Écart à la réciprocité et identification de fissures en thermoélasticité isotrope transitoireReciprocity gap and identification of cracks in transitory isotropic thermoelasticity |
| |
Authors: | Stéphane Andrieux Huy Duong Bui |
| |
Institution: | 1. Laboratoire de mécanique des structures industrielles durables, UMR EDF CNRS 2832, 1, avenue du Général de Gaulle, 92141 Clamart, France;2. Laboratoire de mécanique des solides, UMR 7649, département de mécanique École polytechnique, 91128 Palaiseau, France |
| |
Abstract: | We consider a three-dimensional homogeneous isotropic elastic solid containing a family of planar cracks submitted to a time-dependent thermal loading. The displacement and surface traction fields are measured over the whole external boundary of the solid. We propose in this Note to define and exploit a reciprocity gap, based only on the mechanical quantities available on the boundary, and which enables us to derive explicit formula for the location of the plane where the cracks are lying. Boundary conditions on the cracks can be of any nature provided they ensure that the normal heat flux and surface traction vector are continuous across the crack surfaces. To cite this article: S. Andrieux, H.D. Bui, C. R. Mecanique 334 (2006). |
| |
Keywords: | Mécanique des solides numérique Fissures Écart à la réciprocité Computational solid mechanics Cracks Reciprocity gap |
本文献已被 ScienceDirect 等数据库收录! |
|