A finite strain visco-hyperelastic damage model for rubber-like materials: theory and numerical implementation

Many rubber-like materials exhibit hyperelastic, time-dependent, rate-dependent and progressive damage behaviors. In our previous work (Lu et al., 2020), we proposed a hyperelastic damage model to characterize the strain-softening behavior of soft materials. The model modifies the strain energy func...

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Bibliographic Details
Published in:Acta mechanica Sinica 2023-03, Vol.39 (3), Article 222473
Main Authors: Du, Zhenjiang, Yang, Yan, Wang, Zhongtong, Fan, Xinggui, Lu, Tongqing
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Computational Intelligence
Computer simulation
Damage assessment
Deformation
Engineering
Engineering Fluid Dynamics
Finite element method
Mathematical models
Parameters
Plastic deformation
Polymers
Prony series
Research Paper
Rubber
Strain energy
Stress relaxation
Theoretical and Applied Mechanics
Time dependence
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Summary:Many rubber-like materials exhibit hyperelastic, time-dependent, rate-dependent and progressive damage behaviors. In our previous work (Lu et al., 2020), we proposed a hyperelastic damage model to characterize the strain-softening behavior of soft materials. The model modifies the strain energy function of a single chain by introducing an internal damage variable D and then maps the deformation of chains to the macroscopic deformation. In this work, we extend this model to incorporate the time-dependent viscous effect using the Prony series-based nonlinear theory. We further implement the finite strain visco-hyperelastic damage model into finite element software ABAQUS by a user material subroutine UMAT. We use the experimental data of a kind of acrylic polymer under uniaxial tension in literature to calibrate the model parameters, including 4 time-independent parameters and 6 time-dependent parameters. We then use the calibrated parameters to simulate the uniaxial tension and stress relaxation of the acrylic polymer specimen with a complex geometry. The simulated results agree with the experimental data with a remarkable accuracy.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-023-22473-x