Planar crack identification in 3D linear elasticity by the reciprocity gap method

DOI10.1016/j.cma.2019.06.017zbMath1441.74032OpenAlexW2899890433WikidataQ127611500 ScholiaQ127611500MaRDI QIDQ1988211

Pierre Gosselet, M. L. Kadri, Richard J. Ferrier

Publication date: 16 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.06.017

zbMATH Keywords

inverse problemharmonic polynomialsFourier seriescrack identificationreciprocity gap method

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Inverse problems for PDEs (35R30) Theories of fracture and damage (74A45)

Related Items (3)

Monotonicity-based regularization for shape reconstruction in linear elasticity ⋮ Resolution guarantees for the reconstruction of inclusions in linear elasticity based on monotonicity methods ⋮ Crack identification with incomplete boundary data in linear elasticity by the reciprocity gap method

Uses Software

• GLPK

Cites Work

• Unnamed Item
• Unnamed Item
• The reciprocity gap: A general concept for flaws identification problems
• Reciprocity principle for the detection of planar cracks in anisotropic elastic material
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• On the inverse emergent plane crack problem
• Reciprocity principle and crack identification
• Identification of 2D cracks by elastic boundary measurements
• A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration
• Sur l'identification de fissures planes via le concept d'écart à la réciprocité en élasticité
• A semi-explicit algorithm for the reconstruction of 3D planar cracks
• Reconstruction of cracks with unknown transmission condition from boundary data
• On finding a surface crack from boundary measurements
• Application of the Reciprocity Principle for the Determination of Planar Cracks in Piezoelectric Material
• ON THE USE OF THE RECIPROCITY-GAP FUNCTIONAL IN INVERSE SCATTERING FROM PLANAR CRACKS

This page was built for publication: Planar crack identification in 3D linear elasticity by the reciprocity gap method