Identification of Dislocations in Materials from Boundary Measurements

• Autores: A. El Badia, A. El Hajj
• Localización: Siam journal on applied mathematics, ISSN 0036-1399, Vol. 73, Nº 1, 2013, págs. 84-103
• Idioma: inglés
• DOI: 10.1137/110833920
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• Resumen

  • In this paper, we are interested in the study of an inverse source problem that occurs in a microscopic dislocation model where dislocations are some defects in the material. Three questions will be addressed: the identifiability, the identification, and the stability of the inverse problem. Our objective is to identify the number and the locations of dislocations in the material. Physically, this leads us to determine the initial data in a microscopic model of evolution of discrete dislocation. This model is important for the understanding of the elasto-visco-plasticity behavior of materials