Time-domain asymptotic homogenization for linear-viscoelastic composites: mathematical formulae and finite element implementation

Zhai, Hongzhou; Bai, Tengfei; Wu, Qi; Yoshikawa, Nobuhiro; Xiong, Ke; Chen, Changhao

doi:10.1016/j.jcomc.2022.100248

Cited by 5 publications

(9 citation statements)

References 42 publications

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“…According to the asymptotic principle, 45,46 the macroscale temperature gradient, heat flux, displacement, and stress in the heterogeneous composite at the x position of a point can be asymptotically expanded as follows:…”

Section: Asymptotic Homogenizationmentioning

confidence: 99%

“…There are two steps in the AH of the viscoelastic moduli. 46 The first step involves computing the master curves of the effective relaxation tensor of the thermoplastic composite under the reference temperature, given as follows:…”

Section: Asymptotic Homogenizationmentioning

confidence: 99%

“…Two-step homogenization methods for different material properties, such as effective thermal conductivity, viscoelasticity, and CTE, have been developed and demonstrated in our previous research. 17,45,46 The newly developed AH methods for different properties are different, as introduced in Appendices B and C. Moreover, the developed AH methods are verified by comparing them with the RVE method to ensure the accuracy of the calculated effective material properties. Only the homogenization of the WF-RVE is described here for brevity.…”

Section: Simulationmentioning

confidence: 99%

“…48 The obtained effective material properties, such as the effective density, heat capacity, thermal conductivity, CTE, and relaxation stiffness, were validated in our previous studies. 45,46 After homogenization, a customized UMAT program is employed to model the time-and temperaturedependent anisotropic viscoelastic moduli using ABAQUS. 52 Using the UMAT program, a strong thermo-mechanical coupling analysis of the thermoforming process is established, which can capture the interaction between the temperature and displacement changes more accurately than the conventional weak thermo-mechanical coupling analysis.…”

Section: Simulationmentioning

confidence: 99%

See 3 more Smart Citations

Multi-scale finite element simulation of the thermoforming of a woven fabric glass fiber/polyetherimide thermoplastic composite

Zhai

Bai

et al. 2023

Journal of Composite Materials

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Understanding the thermoforming process for thermoplastic composites is of great importance to ensure the quality of the composite product but is difficult because of the complex material constitutive models and thermo-mechanical coupling in the thermoforming process. In this study, a woven fabric thermoplastic composite consisting of glass fiber and polyetherimide resin was thermoformed under one-sided cooling conditions. After the effective material properties are homogenized with newly developed, two-step asymptotic homogenization methods, and the temperature and pressure boundary conditions are measured experimentally, a 3D composite laminate sandwiched by interfacial layers and metal molds was finite element simulated in the macroscale. The simulated warpage, which was caused by the in-plane residual stresses, was consistent with the experimental results when reasonable tool–part interactions were considered. Subsequently, the temperature, displacement, strain, and stress were comprehensively discussed in terms of their spatial distribution, temporal evolution, and correlations with the others.

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Section: Asymptotic Homogenizationmentioning

confidence: 99%

Section: Asymptotic Homogenizationmentioning

confidence: 99%

Section: Simulationmentioning

confidence: 99%

Section: Simulationmentioning

confidence: 99%

See 2 more Smart Citations

Multi-scale finite element simulation of the thermoforming of a woven fabric glass fiber/polyetherimide thermoplastic composite

Zhai

Bai

et al. 2023

Journal of Composite Materials

Self Cite

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“…In general, the conventional finite element method directly models the microscale structure of the CFRP which is too complex to handle. The detailed microstructure geometry modeling requires refined meshing elements resulting in tremendous computational cost [ 34 ]. The microscale modeling result data can be redundant as failure usually occurs at some specific positions of the CFRP structure.…”

Section: Introductionmentioning

confidence: 99%

A Multiscale Study of CFRP Based on Asymptotic Homogenization with Application to Mechanical Analysis of Composite Pressure Vessels

et al. 2022

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The application of composites is increasingly extensive due to their advanced properties while the analysis still remains complex on different scales. In this article, carbon fiber reinforced polymer (CFRP) is modeled via asymptotic homogenization employing a representative volume element (RVE) with periodic boundary conditions. A multiscale mechanical model of CFRP is established to bridge the microscopic model, mesoscopic model, and macroscopic model. According to asymptotic homogenization, the coefficients of the material constitutive equation are calculated with volume-averaged stress and strain. Using the homogenized materials properties of CFRP, the tensile experiments of composite layers with the layout of [(0∘/60∘/0∘/−60∘)4] are carried out to validate asymptotic homogenization method. The results indicated that the asymptotic homogenization approach can be used to calculate the homogenized elastic moduli and Poisson’s ratio of the whole structure, where the numerical results are basically consistent with test data. The sequent homogenized CFRP laminate model is applied to the mechanical analysis of type III composite pressure vessels, whereby burst pressure is accurately predicted. This work might shed some light on multiscale analysis of composite pressure vessels.

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Experimental and numerical study of thermoforming-induced deformation in glass fiber/polyetherimide thermoplastic wing leading edge

Zhai,

Wu,

Zhang

et al. 2024

Composites Part B: Engineering

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Time-domain asymptotic homogenization for linear-viscoelastic composites: mathematical formulae and finite element implementation

Cited by 5 publications

References 42 publications

Multi-scale finite element simulation of the thermoforming of a woven fabric glass fiber/polyetherimide thermoplastic composite

Multi-scale finite element simulation of the thermoforming of a woven fabric glass fiber/polyetherimide thermoplastic composite

A Multiscale Study of CFRP Based on Asymptotic Homogenization with Application to Mechanical Analysis of Composite Pressure Vessels

Experimental and numerical study of thermoforming-induced deformation in glass fiber/polyetherimide thermoplastic wing leading edge

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