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A void growth- and coalescence-dependent anisotropic damage model for polymeric foams

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Abstract

We present an elastic damage constitutive model for polymeric foam based on thermodynamics framework to consider the effects of anisotropy and the growth and coalescence of cavities. The evolution equation of the proposed model describes the material behavior sustaining anisotropic and unilateral damage. To carry out finite element analysis, the material properties for various polymeric foams are applied to the proposed damage model; we thus implement the proposed damage model in the commercial finite element program as a user-defined material subroutine. In order to validate the proposed anisotropic damage model, the numerical results are compared to the results of a series of tensile and compressive tests on various polymeric foams. Additionally, we propose the failure criterion for this damage model as based on the mass-dependent energy per unit mass at failure. The developed damage model can be used for further research on damage mechanics and finite element analysis of polymeric foams in continuum mechanics.

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Acknowledgements

This work was supported by the R&D Platform Establishment of Eco-Friendly Hydrogen Propulsion Ship Program (No. 20006644) funded by the Ministry of Trade, Industry & Energy (MOTIE, Korea). This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Ministry of Science and ICT (MSIT) (No. 2018R1A2B6007403).

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Authors and Affiliations

  1. Lyles School of Civil Engineering, Purdue University, West Lafayette, IN, 47907, USA

    Sun-Beom Kwon

  2. Department of Naval Architecture and Ocean Engineering, Pusan National University, Busandaehak-ro 63 beon-gil 2, Busan, 46241, Republic of Korea

    Jeong-Dae Kim & Jae-Myung Lee

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  1. Sun-Beom Kwon
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  2. Jeong-Dae Kim
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Kwon, SB., Kim, JD. & Lee, JM. A void growth- and coalescence-dependent anisotropic damage model for polymeric foams. Continuum Mech. Thermodyn. 33, 545–561 (2021). https://doi.org/10.1007/s00161-020-00926-9

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