Speaker
Description
Compressible polymeric foams exhibit highly non-linear mechanical behaviour, predominantly influenced by their porosity and cellular architecture. Classical constitutive models, limited by fixed mathematical formulations, often fail to accurately describe this complexity. In contrast, data-driven constitutive modelling offers a flexible and robust alternative for capturing the intricate mechanical responses of such materials. This study extends a B-spline-based data-driven framework[1,2] to compressible materials, dynamically adjusting control point values to minimize error between experimental data and model predictions, while adhering to thermodynamic consistency through optimization constraints. On the experimental side, nonhomogenous compression, confined compression and homogeneous tensile tests were conducted using closed-cell EPDM (ethylene propylene diene monomer) foams with three distinct densities. The confined compression and uniaxial tension tests were calibrated through data-training software[3] whereas the compression tests were validated via 3D finite element simulations. Finite element analyses of the latter confirmed the framework’s accuracy. Compared to classical constitutive models[4-6], the data-driven approach effectively captures the complex mechanical behavior of the compressible polymeric foams. The results are compared to the predictions obtained from well-known compressible hyperelastic constitutive models in the literature.
References
[1] Dal, H., Denli, F. A., Açan, A. K., \& Kaliske, M. (2023). Data-driven hyperelasticity, Part I: A canonical isotropic formulation for rubberlike materials. Journal of the Mechanics and Physics of Solids, 179, 105381.
[2] Tikenoğulları, O. Z., Açan, A. K., Kuhl, E., \& Dal, H. (2023). Data-driven hyperelasticity, Part II: A canonical framework for anisotropic soft biological tissues. Journal of the Mechanics and Physics of Solids, 181, 105453.
[3] Durna, R., Açan, A. K., Tikenoğulları, O. Z., Dal, H. (2024): H.Hyper-Data: A Matlab based optimization software for data-driven hyperelasticity. SoftwareX, 26, 101642
[4] Paul J. Blatz, William L. Ko; Application of Finite Elastic Theory to the Deformation of Rubbery Materials. Transactions of The Society of Rheology 1 March 1962; 6 (1): 223–252.
[5] Ogden, R. W. (1972): Large deformation isotropic elasticity: On the correlation of theory and experiment for compressible rubberlike solids. Proceedings of the Royal Society of London Series A, Mathematical and Physical Sciences, 328, 567–583
[6] Hill, R. (1979). Aspects of invariance in solid mechanics. Advances in applied mechanics, 18, 1-75.
