Numerical implementation of strain rate dependent thermo viscoelastic constitutive relation to simulate the mechanical behavior of PMMA

Dar, Uzair Ahmed; Zhang, Wei Hong; Xu, Ying

doi:10.1007/s10999-013-9233-y

Cited by 39 publications

(13 citation statements)

References 15 publications

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“…Polymers are widely used in industries such as the aerospace industry, optical engineering, and biological engineering industry due to the excellent properties such as low-density, corrosion resistance, low coefficient of friction, and the possibility of mass production [ 1 , 2 , 3 , 4 , 5 , 6 ]. Among the various types of polymers, thermoplastics are difficult to cut due to their characteristic properties such as low modulus of elasticity, low thermal conductivity, high coefficient of thermal expansion, and internal stress [ 7 , 8 , 9 ].…”

Section: Introductionmentioning

confidence: 99%

Machinability of the Thermoplastic Polymers: PEEK, PI, and PMMA

Yan

Mao

et al. 2020

Polymers

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The thermoplastic polymer such as poly(methyl methacrylate) (PMMA), polyetheretherketone (PEEK), and polyimide (PI) is a kind of polymer material with properties of good mechanical strength. It has been widely used in the fields of aerospace, optical engineering, and microfluidics, etc. Thermoplastic polymers are considered to be one of the most promising engineering plastics in the future. Therefore, it is necessary to further study its mechanical properties and machinability, especially in ultra-precision machining. Furthermore, mechanical property and machinability were studied in this work. Through the dynamic mechanical analysis experiment, the elastic modulus and temperature effect of PMMA, PEEK, and PI are analyzed. In addition, the high-speed micromilling experiment is conducted to show that the surface roughness, burrs, and cutting chip characteristics in the high-speed micromilling process. In general, the surface quality of the brittle removal is generally better than that of the viscoelasticity state. The results show that PMMA, PEEK, and PI have good mechanical properties and machinability. Base on the results, the material will be in a viscoelastic state as the temperature increases. The surface quality of the brittle removal is generally better than the viscoelastic state.

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Section: Introductionmentioning

confidence: 99%

Machinability of the Thermoplastic Polymers: PEEK, PI, and PMMA

Yan

Mao

et al. 2020

Polymers

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“…Like most polymeric materials, PC and PMMA are observed to present obvious sensitivity of strain rate and temperature, for example, the elastic modulus and yield stress go up with the increase of strain rates and decrease of temperature. However, in this paper, we do not intend to give a rich description for normal behavior shown in results because readers can find many explicit explanations in other existing literatures ,,,,. Here we just would like to discuss some other features that might be ignored by previous work.…”

Section: Results and Analysismentioning

confidence: 99%

A Macro-Damaged Viscoelastoplastic Model for Thermomechanical and Rate-Dependent Behavior of Glassy Polymers

Yao

Tan

et al. 2016

Macromol. Mater. Eng.

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Macromolecular Materials and Engineeringare also widely applied in medical and electronic areas. As known to all, polymethylmethacrylate (PMMA) and polycarbonate (PC), as the most representative members in glassy polymers family, generally undergo complex loading conditions when they are on practical service. Particularly, polymer materials are used to performing strong sensitivity to strain rate, temperature, and pressure. Therefore, it is necessary to conduct experiments to study the mechanical behavior of PC and PMMA under different loading modes over a wide range of temperatures and strain rates. Additionally, a thermomechanical and rate-dependent constitutive model should be proposed to catch characteristics of these kind of glassy polymers for better understanding their property for improvement their design for safer engineering application.Enormous documented efforts have been made on above investigations. On the aspects of experiment, Dar et al. [ 1 ] obtained true compressive stress-strain curves varying from 10 −3 to 10 3 s −1 and 213 to 393 K and summarized the normal trend of yield and fl ow stress and initial modulus following with the strain rate and temperature. Cao et al. [ 2 ] employed the developed split Hopkinson tension The primary objective of this paper is to develop a macro-damaged viscoelastoplastic constitutive model to describe large deformation mechanical behavior for glassy polymers at various kinds of experimental conditions. First of all, quasi-static and dynamic tension and compression tests were carried out to obtain stress-strain responses over wide range of rates and temperatures for two glassy polymeric materials, polymethylmethacrylate and polycarbonate. Then a phenomenological macroscopic damage model, covering effects of strain rates, temperatures, and effective strain, is incorporated into the constitutive model in the previous work. Furthermore, two distinct criteria are applied to predict the damage evolution affected by strain rate and temperature at elastic phase and plastic phase, respectively. The validations of the novel developed damaged model are made by the better matches with the testing data compared with the original undamaged model, and excellent agreements with the experimental result in all cases.

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“…For the sake of describing stress-strain curves of DSC at room temperature, the constitutive model of DSC was developed on the basis of the ZWT model [47]. The ZWT model is a nonlinear visco-elastic constitutive model, which was widely applied to a great number of polymers or complex materials based on polymer, such as ethylene propylene diene monomer (EPDM) and polymer polymethylmethacrylate (PMMA) [48,49]. The rate-dependent damage constitutive model of steel-fiber concrete based on the ZWT model was investigated [50], which showed that the ZWT model was suitable to describe the constitutive behavior of steel-fiber concrete.…”

Section: Constitutive Model Of Dsc At Room Temperaturementioning

confidence: 99%

Dynamic Mechanical Behaviors of Desert Sand Concrete (DSC) after Different Temperatures

et al. 2019

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In the building domain, the non-renewable resource of sand is widely used to produce concrete and mortar. The sand production has been estimated to be more than 10 billion tons with a total of 1.2 billion tons used in concrete in the last decade, which causes the gradual reduction of available building materials and impacts the environment. Since there are abundant desert sand resources in northwestern China, it would be viable to utilize desert sand as an alternative material for concrete production. In this study, an investigation of dynamic mechanical behaviors of desert sand concrete (DSC) was conducted. Various desert sand replacement ratios (0–100%) were used to replace the equivalent hill sand as fine aggregate. Experimental results showed that strain rate had a strong effect on the dynamic mechanical behaviors of DSC. The compressive strength (at room temperature) and flexural strength (after elevated temperature) increased with desert sand replacement ratio (DSRR) with the optimum replacement ratio of 40%, which was because the increase of DSRR improved the compaction of DSC. However, the effect of the low strength of desert sand was higher than that of the compaction when the DSSR exceeded 40%, so both strength values generally decreased with the increase of DSRR. Moreover, the dynamic constitutive model of DSC at room temperature was established on the basis of a nonlinear visco–elastic constitutive model (ZWT model), which can predict the stress–strain curves of DSC.

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Numerical implementation of strain rate dependent thermo viscoelastic constitutive relation to simulate the mechanical behavior of PMMA

Cited by 39 publications

References 15 publications

Machinability of the Thermoplastic Polymers: PEEK, PI, and PMMA

Machinability of the Thermoplastic Polymers: PEEK, PI, and PMMA

A Macro-Damaged Viscoelastoplastic Model for Thermomechanical and Rate-Dependent Behavior of Glassy Polymers

Dynamic Mechanical Behaviors of Desert Sand Concrete (DSC) after Different Temperatures

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