Qualitative identification of cracks using 3D transient elastodynamic topological derivative: formulation and FE implementation
From MaRDI portal
Publication:465773
DOI10.1016/j.cma.2012.10.006zbMath1297.35282OpenAlexW1989480270MaRDI QIDQ465773
Publication date: 24 October 2014
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.2012.10.006
Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Minimal surfaces and optimization (49Q05) Inverse problems for PDEs (35R30) Topological methods for optimization problems in solid mechanics (74P15)
Related Items (6)
Shape derivative for penalty-constrained nonsmooth-nonconvex optimization: cohesive crack problem ⋮ Reciprocity identities for quasi-static piezoelectric transducer models: application to cavity identification using iterated excitations and a topological sensitivity approach ⋮ Differential Tomography of Micromechanical Evolution in Elastic Materials of Unknown Micro/Macrostructure ⋮ Analysis of topological derivative as a tool for qualitative identification ⋮ A synoptic approach to the seismic sensing of heterogeneous fractures: from geometric reconstruction to interfacial characterization ⋮ Qualitative Indicator Functions for Imaging Crack Networks Using Acoustic Waves
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Topological sensitivity analysis in the context of ultrasonic non-destructive testing
- Qualitative methods in inverse scattering theory. An introduction
- Reconstruction of elastic inclusions of small volume via dynamic measurements
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- Time domain topological gradient and time reversal analogy: an inverse method for ultrasonic target detection
- A FEM-based topological sensitivity approach for fast qualitative identification of buried cavities from elastodynamic overdetermined boundary data
- From imaging to material identification: a generalized concept of topological sensitivity
- Inverse acoustic and electromagnetic scattering theory.
- Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion
- Stationarity of the strain energy density for some classes of anisotropic solids.
- Identification of cracks and cavities using the topological sensitivity boundary integral equation
- Reconstruction of small inhomogeneities from boundary measurements
- Transient anomaly imaging by the acoustic radiation force
- Topological sensitivity for 3D elastodynamic and acoustic inverse scattering in the time domain
- Fracture mechanics. Inverse problems and solutions.
- Some theorems in classical elastodynamics
- The Topological Asymptotic for PDE Systems: The Elasticity Case
- On the asymptotics of solutions to the Neumann problem for hyperbolic systems in domains with conical points
- Asymptotic Imaging of Perfectly Conducting Cracks
- A linear sampling method for near-field inverse problems in elastodynamics
- Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics
- EIGENTENSORS OF LINEAR ANISOTROPIC ELASTIC MATERIALS
- Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
- Reciprocity principle and crack identification
- Identification of 2D cracks by elastic boundary measurements
- On the Topological Derivative in Shape Optimization
- The linear sampling method for cracks
- Identification of embedded cracks using back-propagating elastic waves
- Inverse problems in elasticity
- A simple method for solving inverse scattering problems in the resonance region
- Numerical identification of linear cracks in 2D elastodynamics using the instantaneous reciprocity gap
- The topological derivative in anisotropic elasticity
- A survey on sampling and probe methods for inverse problems
- Sounding of finite solid bodies by way of topological derivative
- Inverse and crack identification problems in engineering mechanics
This page was built for publication: Qualitative identification of cracks using 3D transient elastodynamic topological derivative: formulation and FE implementation