Inverse problems in elasticity

By Marc Bonnet, A. Constantinescu. 2005

447 citations recorded by the source corpus.

Subfields: Mathematical Physics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/adac4785c1449d0b47cc455049ecc8450972f2f9

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In Mathematical Physics

In Mechanics of Materials

Citations in the corpus

Accounting for prediction uncertainty when inferring subsurface fault slip (2014, background): “D seismic tomography (Tarantola 1984, 1988; Tromp et al. 2005), inverse problems in elasticity (Bonnet & Constantinescu 2005) and meteorological studies (Talagrand & Courtier 2007).”
On the narrow dip structure at 1.9 GeV/c2 in diffractive photoproduction (2003, unknown): “Last, it allows one to bridge the gap between experiments and simulations by using identification techniques that explicitly use full-field data [28] or for validation purposes of numerical codes [29].”
Digital Image Correlation: from Displacement Measurement to Identification of Elastic Properties – a Review (2006, background): “The interested reader may refer to a recent review on the subject in elasticity [43].”
On the analysis of notched concrete beams: From measurement with digital image correlation to identification with boundary element method of a cohesive model (2011, background): “Identification or inversion procedures are mainly applied by using finite-element-based procedures [20] coupled with full-field measurements [21].”
Estimation of Elastoplastic Parameters via Weighted FEMU and Integrated-DIC (2015, background): “When dealing with elastic problems, various approaches rely on variational principles [11, 10].”
Digital image correlation and fracture: an advanced technique for estimating stress intensity factors of 2D and 3D cracks (2009, background): “This calls for specific exploitations in the field of constitutive law identification [21, 22].”
Overview of Identification Methods of Mechanical Parameters Based on Full-field Measurements (2008, background): “3 Identification problem Constitutive parameter identification is often referred to as an inverse problem (see [9] for a recent review of inverse problems in elasticity).”
A Physics-Constrained Data-Driven Approach Based on Locally Convex Reconstruction for Noisy Database (2019, methodology): “We refer interested readers to the literatures for more details of parameter identification [44–46].”
Uniqueness and Lipschitz stability for the identification of Lam\'e parameters from boundary measurements (2013, methodology): “For the mathematical treatment of this problem we refer to the fundamental papers [Al1],[AP], [Na] and [SU].”