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Communication Dans Un Congrès Année : 2020

Identification of constitutive parameters of elastomers from one heterogeneous test

Adel Tayeb
Jean-Benoit Le Cam

Résumé

In this work, the Virtual Fields Method (VFM) and the Finite Element Updating Model (FEMU) are used for the identification of hyperelastic parameters of the Mooney, Yeoh and Ogden models from full-field kinematic measurement using Digital Image Correlation (DIC). Both method has benefited from recent development, the use of the sensitivity based virtual fields for the VFM and the use of AI for the FEMU. The AI algorithm is based on Particle Swarm Optimization (PSO) enriched with the Page-Rank algorithm used by Google search engine. Several comparison criteria between the two method were studied, namely the complexity encountered when formulating the method, the computation time needed to obtain the parameters and the complexity of the models that can be identified. Introduction The identification of the constitutive parameters of hyperelastic materials is performed classically using three homogeneous tests. These three tests are the uniaxial tension, the pure shear and the equibiaxial tension (uniaxial compression). Since 2009, these tests were replaced by one heterogeneous test of biaxial tension on a cruciform specimen [1]. In such test, all strain states corresponding to the three classical tests are present as well as several intermediate strain states with a wide distribution of the strain field. In this work, two identification procedures are investigated. The first one is the VFM based on the application of the principle of virtual work [2] with the integration of the sensitivity of the stress field to small variation of the constitutive parameters in the choice of independent virtual displacement fields [3], [4]. The second one is FEMU method with an adapted PSO optimization algorithm. Both method were used to identify hyperelastic parameters from the biaxial test.
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Dates et versions

hal-02956285 , version 1 (02-10-2020)

Identifiants

  • HAL Id : hal-02956285 , version 1

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Adel Tayeb, Jean-Benoit Le Cam. Identification of constitutive parameters of elastomers from one heterogeneous test. Photomechanics-iDICs conference, Oct 2020, Nantes, France. ⟨hal-02956285⟩
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