Development of dynamic constitutive model of epoxy resin considering temperature and strain rate effects using experimental methods

Luo, Gang; Wu, Chunbo; Xu, Kailong; Liu, Lulu; Chen, Wei

doi:10.1016/j.mechmat.2021.103887

Cited by 34 publications

(9 citation statements)

References 26 publications

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“…where E nþ1 Dii is the dynamic modulus under the influence of strain rate as shown in equations ( 15) to ( 16); E nþ1 Tii is the softening modulus under the influence of temperature as shown in equation (23). After obtaining the thermomechanical coupling relationship of the reference state, the thermomechanical coupling stress-strain relationship can be obtained through the dynamic amplification factor of equations ( 9) to (14).…”

Section: Temperature Softening Effectmentioning

confidence: 99%

“…CFRP has meso mechanical properties, and its macro mechanical behavior is the synthesis of meso mechanical properties of fiber and resin. Among them, the resin shows the usual elastic viscoplastic behavior of polymer, 23 while the fiber is a brittle material and there is an interface between the two phases. Current research methods on the mechanical properties of CFRP include micromechanics and macromechanics.…”

Section: Establishment Of Constitutive Equationsmentioning

confidence: 99%

“…From the above studies, the instantaneous impact temperature generation of fiber-reinforced plastics commonly exists and has a higher value of 24-252 C. However, the effect on mechanical behavior by this temperature is rare to be discussed. Namely, the instantaneous impact temperature generation is often obtained using the matrix phase in the micromechanical model, without considering the macroscopic thermomechanical coupling effect, 4,14,18 which requires a large amount of computational resources; the previous studies have considered the thermomechanical constitutive model with the weak coupling form based on the matrix or CFRP under a certain load, 9,10,16,23 and a complete macroscopic thermomechanical constitutive model with a strong coupling and including static and dynamic conditions is still lacking.…”

Section: Introductionmentioning

confidence: 99%

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Complete constitutive model of CFRP including continuous damage in low strain rate compression and temperature generation in high strain rate impact

Zhao,

Zhong,

Wang

et al. 2023

Polymer Composites

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This paper reports a method to construct the complete constitutive model of carbon fiber‐reinforced plastic (CFRP) by distinguishing the strain rate state and modifying the material stiffness. In quasistatic (low strain rate) compression, the initial nonlinear effect caused by the material defects was described by introducing an nonlinear increasing factor. In dynamic (high strain rate) impact, the nonlinear strengthening effect was described by introducing the dynamic amplification factors of stress and strain based on the reference state. Considering the instantaneous temperature rise obtained from the impact work–temperature generation equation and the influence of temperature on modulus and strength, the coupled thermomechanical constitutive models combining the strain rate effect and the temperature effect were established. The user‐defined material subroutines (VUMAT) were developed, and then these constitutive models were verified by finite element analysis (FEA). Finally, the developed material subroutine was applied to predict the impact penetration of CFRP laminates, and the results show that the opening holes, damage and energy dissipation are in good agreement with the reference experiment. This work comprehensively analyzed the construction method of CFRP constitutive models, which would provide a guidance for the coupled thermomechanical behavior under dynamic impact.Highlights An anisotropic continuum mechanical constitutive behavior considering strain rate effect and damage evolution behavior was established. A macroscopic anisotropic constitutive model including the coupled impact temperature generation‐mechanical behavior was established. Combined with the incremental finite element method, the three‐dimensional user‐defined material subroutines (VUMAT) were developed and verified. The thermomechanical impact penetration behaviors of CFRP laminates was predicted, and the stress field, temperature field and failure characteristics were visualized.

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Section: Temperature Softening Effectmentioning

confidence: 99%

Section: Establishment Of Constitutive Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Complete constitutive model of CFRP including continuous damage in low strain rate compression and temperature generation in high strain rate impact

Zhao,

Zhong,

Wang

et al. 2023

Polymer Composites

View full text Add to dashboard Cite

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“…Meanwhile, the authors simulated the mechanical behavior of LNBR/epoxy composites with the model parameters obtained from the experiments. Luo et al [ 28 ] used quasi-static and dynamic compression stress–strain curves to fit the parameters of the Zhu–Wang–Tang (ZWT) constitutive equation at different temperatures. A subroutine for the ZWT constitutive model was developed in ABAQUS, and numerical simulations of split Hopkinson pressure bar tests were performed.…”

Section: Introductionmentioning

confidence: 99%

Determination of Elastic Modulus, Stress Relaxation Time and Thermal Softening Index in ZWT Constitutive Model for Reinforced Al/PTFE

2023

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Al/PTFE has the advantages of high impact-responsive energy release, appropriate sensitivity, a fast energy release rate, and high energy density, and it is increasingly widely being used in the field of ammunition. In this paper, based on the traditional formula Al/PTFE (26.5%/73.5%), the reinforced Al/PTFE active materials are prepared by the process of cold pressing, sintering, and rapid cooling. Quasi static and dynamic compression experiments were carried out under different compression pressures (200~800 MPa), strain rates (0.002 s−1, 0.02 s−1, 1400~3300 s−1), and temperatures (23 °C, −20 °C, −30 °C, −40 °C). The effects of pressure, strain rate, and temperature on the quasi-static and dynamic compression properties of Al/PTFE materials are analyzed. The results show that the reinforced Al/PTFE specimens show a significant correlation between temperature and strain rate. Based on the classical Zhu–Wang–Tang (ZWT) constitutive model, the ZWT constitutive model parameters of the reinforced Al/PTFE active materials under different pressing pressures at room temperature and the ZWT constitutive model parameters of the reinforced Al/PTFE active materials at low temperature are obtained by fitting, respectively. The accuracy of the constitutive model parameters (elastic modulus, stress relaxation time, and thermal softening index) is verified. In this paper, a constitutive model considering both temperature and strain rate effects is established in order to provide reference for the study of mechanical properties of active materials.

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“…It was determined that a pulse shaper could delay the rise time of the incident wave, and its appearance effectively improved the waveform [ 11 , 12 , 13 ]. Luo et al [ 14 ] used an H62 brass sheet with a thickness of 2.5 mm and a diameter ranging from 3 to 10 mm as a pulse shaper to obtain different waveforms to achieve constant strain rate loading. Jiang et al [ 15 ] obtained different dynamic strain rate-strain curves by different air gun pressures.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Response of Rock-like Materials Based on SHPB Pulse Waveform Characteristics

et al. 2021

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Rock-like brittle materials under dynamic load will show more complex dynamic mechanical properties than those under static load. The relationship between pulse waveform characteristics and strain rate effect and inertia effect is rarely discussed in the split-Hopkinson pressure bar (SHPB) numerical simulation research. In response to this problem, this paper discusses the effects of different pulse types and pulse waveforms on the incident waveform and dynamic response characteristics of specimens based on particle flow code (PFC). The research identifies a critical interval of rock dynamic strength, where the dynamic strength of the specimen is independent of the strain rate but increases with the amplitude of the incident stress wave. When the critical interval is exceeded, the dynamic strength is determined by the strain rate and strain rate gradient. The strain rate of the specimen is only related to the slope of the incident stress wave and is independent of its amplitude. It is also determined that the inertia effect cannot be eliminated in the SHPB. The slope of the velocity pulse waveform determines the strain rate of the specimen, the slope of the force pulse waveform determines the strain rate gradient of the specimen, and the upper bottom time determines the strain rate of the specimen. It provides a reference for SHPB numerical simulation. A dynamic strength prediction model of rock-like materials is then proposed, which considers the effects of strain rate and strain rate gradient.

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Development of dynamic constitutive model of epoxy resin considering temperature and strain rate effects using experimental methods

Cited by 34 publications

References 26 publications

Complete constitutive model of CFRP including continuous damage in low strain rate compression and temperature generation in high strain rate impact

Complete constitutive model of CFRP including continuous damage in low strain rate compression and temperature generation in high strain rate impact

Determination of Elastic Modulus, Stress Relaxation Time and Thermal Softening Index in ZWT Constitutive Model for Reinforced Al/PTFE

Dynamic Response of Rock-like Materials Based on SHPB Pulse Waveform Characteristics

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