A rate-dependent constitutive model predicting the double yield phenomenon, self-heating and thermal softening in semi-crystalline polymers

Hao, P.; Laheri, V.; Dai, Ziwei; Gilabert, F.A.

doi:10.1016/j.ijplas.2022.103233

Cited by 30 publications

(23 citation statements)

References 88 publications

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“…The matrix material is modeled using the Unified Semi-Crystalline Polymer (USCP) constitutive model based on [ 31 ] and further developed in [ 37 ]. This model has an improved representation of the double-yield phenomenon considering a temperature-dependent visco-plastic response, including self-heating and thermal softening effects.…”

Section: Materials Constitutive Behaviormentioning

confidence: 99%

“…The associated rheological representation is depicted with a newly developed visco-plastic dashpot that integrates two athermal strengths,

and

, corresponding to the saturated states of the amorphous and crystalline phases, respectively. Owing to the complex yield kinetics of SCPs [ 31 ], two yield points correlated to the double kink release process in the amorphous phase and the crystal slips in the crystalline phase are derived.…”

Section: Materials Constitutive Behaviormentioning

confidence: 99%

“…The prescribed form is expressed as:

where

is the direction tensor and

is the constitutive effective plastic strain rate. The plastic flow follows a thermally activated visco-plastic law given by [ 31 ]:

where

and

are the rate-dependent sensitivity parameters, which determine the first peak yield stress at different strain rates.

is the absolute temperature.…”

Section: Materials Constitutive Behaviormentioning

confidence: 99%

“…

is the deviatoric part of the stress tensor.

is the athermal strength initiated with a value [ 31 ]:

…”

Section: Materials Constitutive Behaviormentioning

confidence: 99%

“…The fibers are modeled as transverse isotropic linear-elastic materials. The matrix is modeled based on the polymer yield kinetics phenomenology recently developed in a thermo-visco-plastic constitutive law for semi-crystalline polymers, which includes self-heating [ 31 ]. The interface between fibers and matrix is included as a conductive interface with cohesive behavior.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Study on the Effect of Matrix Self-Heating on the Thermo-Visco-Plastic Response of Continuous Fiber-Reinforced Polymers under Transverse Tensile Loading

et al. 2022

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The recyclability and improved suitability for high-volume production make fiber-reinforced thermoplastic polymers (FRP) attractive alternatives for the current thermoset-based ones. However, while they are more ductile than their thermoset counterparts, their behavior is also more susceptible to environmental conditions such as humidity, temperature, and strain rate. The latter can trigger self-heating and thermal softening effects. The role of matrix self-heating in FRP subjected to transverse loading is investigated using micromechanical modeling. Particularly, the effect of self-heating, strain rate and conductivity of the fiber-matrix interface is illustrated. It is shown that local heating of the matrix is dominant for the homogenized behavior of the material. Although the global homogenized temperature increase is limited, local thermal softening can induce premature failure. It is shown that the effect of thermal softening can be more prominent with increasing volume fraction, increasing strain rate, and lower interface conductivity.

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Section: Materials Constitutive Behaviormentioning

confidence: 99%

“…The associated rheological representation is depicted with a newly developed visco-plastic dashpot that integrates two athermal strengths,

and

Section: Materials Constitutive Behaviormentioning

confidence: 99%

“…The prescribed form is expressed as:

where

is the direction tensor and

is the constitutive effective plastic strain rate. The plastic flow follows a thermally activated visco-plastic law given by [ 31 ]:

where

and

are the rate-dependent sensitivity parameters, which determine the first peak yield stress at different strain rates.

is the absolute temperature.…”

Section: Materials Constitutive Behaviormentioning

confidence: 99%

“…

is the deviatoric part of the stress tensor.

is the athermal strength initiated with a value [ 31 ]:

…”

Section: Materials Constitutive Behaviormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical Study on the Effect of Matrix Self-Heating on the Thermo-Visco-Plastic Response of Continuous Fiber-Reinforced Polymers under Transverse Tensile Loading

et al. 2022

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Temperature and strain rate effects on ultra‐high‐molecular‐weight‐polyethylene compression: An experimental and modeling approach

Kumar,

Ravi,

Singh

2024

Polymer Engineering & Sci

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This study aims to predict the compression behavior of ultra‐high molecular weight polyethylene (UHMWPE) at various temperatures (25, 40, and 55°C) and strain rates (~10−4/s and ~10−2/s) using a single set of three‐network (TN) viscoplastic model parameters. The TN model is made up of three parallel networks: networks A and B use nonlinear springs and dashpots to control the responses of the crystalline phase and confined amorphous phases, respectively, while network C captures the macromolecular amorphous networks using a single nonlinear spring. A single set of TN model parameters captures the yield and post‐yield hardening responses of the stress–strain curves at experimental temperatures and strain rates. When these TN model calibrated parameters are used as material property in a commercial finite element tool to simulate UHMWPE compression, the predicted and simulated results match well, showing the model's fidelity. Additionally, the model predicts experiments conducted at 40 and 70°C with loading rates of ~10−3/s and ~10−2/s, respectively. The study also correlates the deformations of UHMWPE's crystalline structure and macromolecular amorphous networks with its global stress versus strain response by extracting stresses from individual networks of the TN model at different strain rates and temperatures.Highlights UHMWPE's mechanical behavior predicted by a single set of TN model parameters TN model predicts mechanical response at various strain rates and temperatures. TN model explains microstructural crystalline and amorphous phase deformations.

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Characterization of loading, relaxation, and recovery behaviors of high‐density polyethylene using a three‐branch spring‐dashpot model

Shi,

Jar

2024

Polymer Engineering & Sci

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This paper presents an analysis of the stress evolution of high‐density polyethylene (HDPE) at loading, relaxation, and recovery stages in a multi‐relaxation‐recovery (RR) test. The analysis is based on a three‐branch spring‐dashpot model that uses the Eyring's law to govern the viscous behavior. The spring‐dashpot model comprises two viscous branches to represent the short‐ and long‐term time‐dependent stress responses to deformation, and a quasi‐static branch to represent the time‐independent stress response. A fast numerical analysis framework based on genetic algorithms was developed to determine values for the model parameters so that the difference between the simulation and the experimental data could be less than 0.08 MPa. Using this approach, values of the model parameters were determined as functions of deformation and time so that the model can simulate the stress response at loading, relaxation, and recovery stages of the RR test. The simulation also generated 10 sets of model parameter values to examine their consistency. The study concludes that the three‐branch model can serve as a suitable tool for analyzing the mechanical properties of HDPE, and values for the model parameters can potentially be used to characterize the difference among PEs for their mechanical performance.Highlights Developed computer programs to determine parameter values automatically. Explained the unusual stress drop during stress recovery after unloading. Evaluated the statistical range of the parameter values for the good fitting.

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A rate-dependent constitutive model predicting the double yield phenomenon, self-heating and thermal softening in semi-crystalline polymers

Cited by 30 publications

References 88 publications

Numerical Study on the Effect of Matrix Self-Heating on the Thermo-Visco-Plastic Response of Continuous Fiber-Reinforced Polymers under Transverse Tensile Loading

Numerical Study on the Effect of Matrix Self-Heating on the Thermo-Visco-Plastic Response of Continuous Fiber-Reinforced Polymers under Transverse Tensile Loading

Temperature and strain rate effects on ultra‐high‐molecular‐weight‐polyethylene compression: An experimental and modeling approach

Characterization of loading, relaxation, and recovery behaviors of high‐density polyethylene using a three‐branch spring‐dashpot model

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