Inverse identification of constitutive parameters from heat source fields: A local approach applied to hyperelasticity
Abstract
In this paper, a new inverse identification method of constitutive parameters is developed from full kinematic and thermal field measurements. It consists in reconstructing the heat source field from two different approaches by using the heat diffusion equation. The first one requires the temperature field measurement and the value of the thermophysical parameters. The second one is based on the kinematic field measurement and the choice of a thermo‐hyperelastic model that contains the parameters to be identified. The identification is carried out at the local scale, ie, at any point of the heat source field, without using the boundary conditions. In the present work, the method is applied to the challenging case of hyperelasticity from a heterogeneous test. Due to large deformations undergone by the rubber specimen tested, a motion compensation technique is developed to plot the kinematic and the thermal fields at the same points before reconstructing the heterogeneous heat source field. In the present case, the constitutive parameter of the Neo‐Hookean model has been identified, and its distribution has been characterized with respect to the strain state at the surface of a cross‐shaped specimen.Keywords
Funding Information
- Région Bretagne
This publication has 42 references indexed in Scilit:
- A REVIEW OF VOLUME CHANGES IN RUBBERS: THE EFFECT OF STRETCHINGRubber Chemistry and Technology, 2010
- Experimental setup for fully coupled kinematic and thermal measurements at the microstructure scale of an AISI 316L steelMaterials Science and Engineering: A, 2009
- Comparison of Hyperelastic Models for Rubber-Like MaterialsRubber Chemistry and Technology, 2006
- A new ‘tailor-made’ methodology for the mechanical behaviour analysis of rubber-like materials: I. Kinematics measurements using a digital speckle extensometryPolymer, 2003
- Thermal and dissipative effects accompanying Lüders band propagationMaterials Science and Engineering: A, 2001
- An infrared image processing to analyse the calorific effects accompanying strain localisationInternational Journal of Engineering Science, 2000
- Softening of Rubber by DeformationRubber Chemistry and Technology, 1969
- Permanent Set in Vulcanized RubberRubber Chemistry and Technology, 1949
- Effect of Stretching on the Properties of RubberRubber Chemistry and Technology, 1948
- Molecular structure and rubber-like elasticity I. The crystal structures of β gutta-percha, rubber and polychloropreneProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1942