Boundary perturbations due to the presence of small linear cracks in an elastic body
From MaRDI portal
Publication:380001
DOI10.1007/s10659-012-9411-4zbMath1277.35037arXiv1206.6315OpenAlexW2592133234MaRDI QIDQ380001
Hyeonbae Kang, Jisun Lim, Hyundae Lee, Habib Ammari
Publication date: 11 November 2013
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.6315
Classical linear elasticity (74B05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Asymptotic expansions of solutions to PDEs (35C20)
Related Items
Crack growth control based on the topological derivative of the Rice's integral ⋮ Numerical implementation for reconstruction of inhomogeneous conductivities via generalized polarization tensors ⋮ Topological derivatives of shape functionals. II: First-order method and applications ⋮ Topological sensitivity analysis for the modified Helmholtz equation under an impedance condition on the boundary of a hole ⋮ On the Kohn–Vogelius formulation for solving an inverse source problem ⋮ Hypocycloidal inclusions in nonuniform out-of-plane elasticity: stress singularity vs. stress reduction ⋮ Imaging of mass distributions from partial domain measurement ⋮ A Joint Sparse Recovery Framework for Accurate Reconstruction of Inclusions in Elastic Media
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- Boundary value problems for the systems of elastostatics in Lipschitz domains
- Applications of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity
- Exact solution of a simple hypersingular integral equation
- Topological sensitivity analysis
- Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion
- Reconstruction of small inhomogeneities from boundary measurements
- A hypersingular boundary integral method for two-dimensional screen and crack problems
- Direct Reconstruction Methods in Ultrasound Imaging of Small Anomalies
- A statistical approach to target detection and localization in the presence of noise
- Imaging Schemes for Perfectly Conducting Cracks
- Crack nucleation sensitivity analysis
- Asymptotic Imaging of Perfectly Conducting Cracks
- Direct Elastic Imaging of a Small Inclusion
- Algorithm for the determination of a linear crack in an elastic body from boundary measurements
- Determination of a Linear Crack in an Elastic Body from Boundary Measurements—Lipschitz Stability
- On boundary integral equations for crack problems
- On the Topological Derivative in Shape Optimization
- Identification of elastic inclusions and elastic moment tensors by boundary measurements
- HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE?
- An Asymptotic Formula for the Displacement Field in the Presence of Thin Elastic Inhomogeneities
- Numerical reconstruction of a cluster of small elastic inclusions
