Numerical simulation for deformation of laminates combining the novel shell element with the decoupled two-scale viscoelastic analysis of FRP

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:234

Article

Yamamoto, Takeki¹  Okabe, Tomonaga^2,3  Terada, Kenjiro⁴ 

[1] Hiroshima Univ, Grad Sch Adv Sci & Engn, 1-4-1 Kagarniyama, Higashihiroshima 7398527, Japan

[2] Tohoku Univ, Dept Aerosp Environm Engn, Aoba Ku, Aza Aoba 6-6-01, Sendai, Miyagi 9808579, Japan

[3] Univ Washington, Dept Mat Sci & Engn, Seattle, WA 98195 USA

[4] Tohoku Univ, Int Res Inst Disaster Sci, Aoba Ku, Aza Aoba 468-1, Sendai, Miyagi 9808572, Japan

关键词: Finite element method;    Shell element;    Thickness-stretch;    FRP;    Viscoelastic;    Homogenization;    Multiscale analysis;   

DOI  :  10.1016/j.ijsolstr.2021.111236

来源: Elsevier

【 摘 要 】

This study proposes a numerical simulation for the deformation of laminates incorporating a combination of the novel shell element, whose thickness is allowed to change in a macro-scale model, with a decoupled two-scale viscoelastic analysis of FRP. The dependence of resin properties on the degree of cure (DOC) is considered in the simulation. Because the shell element of interest is enriched with degrees of freedom (DOFs) to represent the transverse deformations, it is capable of evaluating and controlling the thickness change during curing process of laminates. Since the additional DOFs are introduced to each element independently, they are condensed out at the element level in assembling the global finite element (FE) equation. Besides the force, the displacement can also be imposed on the outermost DOFs to control the change in thickness. Thus, numerical simulations where the plate thickness is controlled according to the requirements for molded products can be realized without introducing solid-shell-type formulations. The macroscopic mechanical behavior of FRP can be represented by the orthotropic version of the model employed for resin whose DOC-dependent macroscopic viscoelastic properties (the macroscopic coefficient of thermal expansions (CTEs) and coefficient of cure shrinkages (CCSs)) are identified from the relaxation curves obtained by results of numerical material tests (NMTs) conducted on the periodic microstructure (unit cell). The usefulness of the proposed approach was clarified by the results of the numerical verifications.

【 授权许可】

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