Phenomenological constitutive modeling of the non-linear loading-unloading response of UD fiber-reinforced polymers

Fallahi, Hamed; Taheri‐Behrooz, Fathollah

doi:10.1016/j.compstruct.2022.115671

Cited by 21 publications

(10 citation statements)

References 47 publications

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“…In addition, after reaching the peak, in some cases, a gradual torque decrease was observed, which means a postcritical stage realization [66]. Similar non-linear behavior of polymer composites under off-axis loading was considered previously [67][68][69]. For proportional loading modes, both the maximum load and the maximum torque value decrease.…”

Section: Approximation Modelssupporting

confidence: 64%

Mechanical Properties Degradation of Fiberglass Tubes during Biaxial Proportional Cyclic Loading

et al. 2023

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Composite structures during an operation are subjected to various types of external loading (impact, vibration, cyclic, etc.), which may lead to a decrease in mechanical properties. Previously, many experimental investigations of the mechanical behavior of composites under uniaxial cyclic loading were carried out. Acquisition of new data on the reduction of composite materials’ mechanical characteristics under conditions of multiaxial cyclic loading, as well as verification of existing models for calculation of the residual properties, are relevant. Therefore, this work is devoted to the experimental investigation of the mechanical behavior of fiberglass tubes under proportional cyclic loading. Static and fatigue tests were carried out under tension with torsion conditions. Inhomogeneous strain fields were obtained using a non-contact optical video system VIC-3D. The structural damage accumulation processes were analyzed by an AMSY-6 acoustic emission signals recording system. Surface defects were determined using a DinoLite microscope. Residual dynamic elastic modules were calculated during fatigue tests, and fatigue sensitivity curves were built. Data was approximated using various models, and their high descriptive capability was revealed. Damage accumulation stages were determined. The dependence of the models’ parameters on a stress state were observed. It was concluded that multiaxial cyclic loading leads to a significant decrease in mechanical properties, which should be taken into account in composite structure design.

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Section: Approximation Modelssupporting

confidence: 64%

Mechanical Properties Degradation of Fiberglass Tubes during Biaxial Proportional Cyclic Loading

et al. 2023

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“…Considering that the reference medium was selected as the matrix in Mori-Tanaka method, and the incremental constitutive equations Equations ( 18) and (19). The local strain concentration tensors, expressed in Equations ( 27), ( 28) and ( 29), can be reformulated as follows:…”

Section: Parameters Of the Polymeric Matrix Viscoelastic Parameter Dmentioning

confidence: 99%

“…Substituting Equations ( 30), ( 31) and ( 32) into Equation (34), and utilizing the relationship derived from Equations ( 18) and (19), where Δε…”

Section: Parameters Of the Polymeric Matrix Viscoelastic Parameter Dmentioning

confidence: 99%

“…where A mt is the global strain concentration tensor. Substituting Equations ( 30), ( 31), ( 32), (38), and (39), and the incremental constitutive equation of each phase Equations ( 18) and (19) into Equation (34), the macroscopic stiffness tensor of composite was obtained:…”

Section: Parameters Of the Polymeric Matrix Viscoelastic Parameter Dmentioning

confidence: 99%

“…[15][16][17] Some polymers and polymeric composites often exhibit strongly nonlinear deformation during cyclic loading. Recognizing the pronounced nonlinearity in the loading-unloading behavior, 18 Fallahi et al 19 developed a phenomenological constitutive model for the unidirectional carbon-fiber/ epoxy composites. The strongly nonlinear deformation could not be characterized well by the linear VE-VP models.…”

Section: Introductionmentioning

confidence: 99%

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A micromechanical cyclic constitutive model for ratchetting deformation of polymeric composites with imperfect interface

Qin,

Lu,

Zhang

et al. 2023

Polymer Composites

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In this study, a micromechanical cyclic constitutive model for accurately describing the ratchetting deformation of polymeric composites is proposed. The model is based on the mean‐field homogenization method and incorporates the nonlinear viscoelastic‐viscoplastic (VE‐VP) cyclic constitutive model of the polymeric matrix and the imperfect interface. First, the nonlinear VE‐VP model was linearized using the incremental affine method and then was introduced into the homogenization process. The imperfect interface was represented using a linear spring model. A modified Mori‐Tanaka model was developed to incorporate the nonlinear VE‐VP model and imperfect interface into the micromechanical constitutive model. To implement the proposed micromechanical model, a numerical algorithm was developed. The model is capable of capturing the influence of the imperfect interface on the ratchetting deformation of polymeric composites. Furthermore, it is applicable to simulate various loading histories, including monotonic tension, stress relaxation, creep, and uniaxial ratchetting loads. The proposed model was validated by comparing its simulations with those obtained from the full‐field finite element method (FEM) model. The proposed model can predict the ratchetting deformation of polymeric composites and promote the practical application of these material in structures.Highlights A micromechanical cyclic constitutive model is developed to describe the ratchetting deformation of polymeric composites with imperfect interface. Nonlinear viscoelastic‐viscoplastic deformation of polymeric matrix is considered. A modified Mori‐Tanaka method is employed to incorporate the nonlinear constitutive model and imperfect interface into the process of homogenization. Good agreement between simulations of the proposed model and the full‐field FEM model under various loading histories.

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A methodology for direct parameter identification for experimental results using machine learning — Real world application to the highly non-linear deformation behavior of FRP

Gerritzen,

Hornig,

Winkler

et al. 2024

Computational Materials Science

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Phenomenological constitutive modeling of the non-linear loading-unloading response of UD fiber-reinforced polymers

Cited by 21 publications

References 47 publications

Mechanical Properties Degradation of Fiberglass Tubes during Biaxial Proportional Cyclic Loading

Mechanical Properties Degradation of Fiberglass Tubes during Biaxial Proportional Cyclic Loading

A micromechanical cyclic constitutive model for ratchetting deformation of polymeric composites with imperfect interface

A methodology for direct parameter identification for experimental results using machine learning — Real world application to the highly non-linear deformation behavior of FRP

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