# Identification of constitutive parameters from full thermal and kinematic fields: application to hyperelasticity

## TL;DR

This paper introduces a novel inverse method for identifying hyperelastic material parameters using full thermal and kinematic field measurements, applicable at the local scale without boundary conditions.

## Contribution

It presents a new inverse identification approach combining thermal and kinematic data, including a motion compensation technique for large deformations.

## Key findings

- Successfully identified hyperelastic parameters from heterogeneous heat sources.
- Demonstrated the method's effectiveness on a rubber specimen undergoing large deformation.
- Reconstructed heat sources without boundary condition requirements.

## Abstract

In this paper, a new inverse identification method is developed from full kinematic and thermal field measurements. It consists in reconstructing the heat source from two approaches, a first one that requires the measurement of the temperature field and the value of the thermophysical parameters, and a second one based on the measurement of the kinematics field and a thermo-hyperelastic model that contains the parameters to be identified. The identification does not require any boundary conditions since it is carried out at the local scale. In the present work, the method is applied to the identification of hyperelastic parameters from a heterogeneous heat source field. Due to large deformation undergone by the rubber specimen tested, a motion compensation technique is developed to plot the kinematic and thermal fields at the same points before reconstructing the heat source.

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Source: https://tomesphere.com/paper/1907.02692