Identification of Heterogeneous Elastoplastic Behaviors Using the Constitutive Equation Gap Method

Autor: Stéphane Pagano, Céline Pelissou, Tarik Madani, Yann Monerie, Bertrand Wattrisse
Přispěvatelé: Institut de Radioprotection et de Sûreté Nucléaire (IRSN), ThermoMécanique des Matériaux (ThM2), Laboratoire de Mécanique et Génie Civil (LMGC), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de micromécanique et intégrité des structures (MIST), Institut de Radioprotection et de Sûreté Nucléaire (IRSN)-Centre National de la Recherche Scientifique (CNRS), Mathématiques et Modélisations en Mécanique (M3)
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Field (physics)
Full field measurement
Mechanical Engineering
Mathematical analysis
Constitutive equation
Elastoplasticity
Aerospace Engineering
Inverse
02 engineering and technology
Function (mathematics)
Inverse method
[SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]
021001 nanoscience & nanotechnology
Displacement (vector)
[SPI.MECA.GEME]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph]
Stress (mechanics)
020303 mechanical engineering & transports
0203 mechanical engineering
Mechanics of Materials
Material identification
[SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph]
Tensor
0210 nano-technology
Local field
Mathematics
Zdroj: Experimental Mechanics
Experimental Mechanics, Society for Experimental Mechanics, 2018, 58 (6), pp.919-939. ⟨10.1007/s11340-018-0389-0⟩
ISSN: 0014-4851
Popis: International audience; Recent developments in imaging techniques now facilitate local field measurements (e.g. strain, temperature, etc.). In this study, we identify the spatial distribution of material properties and local stress fields using an inverse identification method based on the constitutive equation gap (CEG). The CEG concept is based both on minimization of a cost function equal to the sum of the potential and complementary energies, and on the deviation between the measured and computed strain fields. We propose a new approach for identifying heterogeneous property fields (mechanical parameters and stress) using a secant elastoplastic tensor and a measured strain field obtained by full-field measurement. The reliability of the method is checked using finite element simulation data as reference full-field measurements. The method is then applied on noisy displacement fields to assess its robustness. Finally, the developed inverse method is tested on real measured data.
Databáze: OpenAIRE
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