Time-domain constitutive modeling of viscoelastic composites based on asymptotic homogenization method

doi:10.19936/j.cnki.2096-8000.20250828.002

Abstract

Abstract: The aim of this paper is to establish an efficient and accurate method for modeling the macroscopic constitutive relationship of viscoelastic composites. By combining the asymptotic homogenization theory and the eigen-displacement method, a quantitative relationship between the microstructure and the macroscopic response is established. The reduced-order homogenization method is used to solve the characteristic displacement, which effectively improves the computational efficiency and directly obtains the macroscopic ontological relationship in the time domain. The obtained ontological relationship is embedded into the finite element software ABAQUS in the form of a user-defined material subroutine (UMAT), and the reliability of the model is verified by comparison with Digimat. The numerical results show that the fiber volume fraction and viscoelastic decay ratio have a significant effect on the stress relaxation behavior of the composites. As the fiber volume fraction increases, both the initial stress value and the stress relaxation rate of the composites increase; while the increase in the decay ratio leads to a slower stress relaxation rate. It is shown that the method can accurately predict the time-domain mechanical response of viscoelastic composites, which provides a strong theoretical support for the design and optimization of composites.

Key words: asymptotic homogenization, viscoelasticity, volume fraction, stress relaxation, macro-micro, composites

CLC Number:

TB332

WU Shunxin, ZHU Shuiwen. Time-domain constitutive modeling of viscoelastic composites based on asymptotic homogenization method[J]. COMPOSITES SCIENCE AND ENGINEERING, 2025, 0(8): 8-14.

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