Differential Tomography of Micromechanical Evolution in Elastic Materials of Unknown Micro/Macrostructure

DOI10.1137/19M1305707zbMath1455.35310arXiv1912.06298MaRDI QIDQ5143294

Houssem Haddar, Fatemeh Pourahmadian

Publication date: 11 January 2021

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06298

zbMATH Keywords

inverse scatteringcomplex materialswaveform tomographydifferential imagingmicromechanical evolutionultrasonic sensing

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) PDEs with randomness, stochastic partial differential equations (35R60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Poroelastic near-field inverse scattering ⋮ Time- Versus Frequency-Domain Inverse Elastic Scattering: Theory and Experiment ⋮ Laboratory application of sampling approaches to inverse scattering

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Identifying defects in an unknown background using differential measurements
• Qualitative identification of cracks using 3D transient elastodynamic topological derivative: formulation and FE implementation
• Linear integral equations.
• Sampling methods for reconstructing the geometry of a local perturbation in unknown periodic layers
• A synoptic approach to the seismic sensing of heterogeneous fractures: from geometric reconstruction to interfacial characterization
• The factorization method applied to cracks with impedance boundary conditions
• Inverse Scattering Theory and Transmission Eigenvalues
• On the multi-frequency obstacle reconstruction via the linear sampling method
• The Generalized Linear Sampling Method for Limited Aperture Measurements
• Real-Time Imaging of Interfacial Damage in Heterogeneous Composites
• Elastic Herglotz Functions
• Analysis of topological derivative as a tool for qualitative identification
• Generalized linear sampling method for the inverse elastic scattering of fractures in finite bodies
• Generalized linear sampling method for elastic-wave sensing of heterogeneous fractures
• Experimental validation of the topological sensitivity approach to elastic-wave imaging
• A generalized formulation of the linear sampling method with exact characterization of targets in terms of farfield measurements

This page was built for publication: Differential Tomography of Micromechanical Evolution in Elastic Materials of Unknown Micro/Macrostructure