An interface shear damage model of chromium coating/steel substrate under thermal erosion load

Li, Xiaolong; Zang, Yong; Lian, Yong; Ma, Mingchao; Mu, Lin; Qin, Qin

doi:10.1016/j.dt.2020.02.002

Cited by 21 publications

(8 citation statements)

References 35 publications

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“…Therefore, the exponential CZL is used as the constitutive relation of grain interface damage evolution in this study, as shown in Figure 3. The fracture energy control equation of the exponential cohesive zone model can be expressed as [32][33][34] :…”

Section: Damage Evolution Criterion Of the Interfacementioning

confidence: 99%

“…Therefore, the exponential CZL is used as the constitutive relation of grain interface damage evolution in this study, as shown in Figure . The fracture energy control equation of the exponential cohesive zone model can be expressed as [ 32–34 ] :

\begin{eqnarray} \Phi \left( {{\Delta}} \right)& =& {\Phi _{\rm{n}}} + {\Phi _{\rm{n}}} \cdot {\rm{exp}}\left( { - \frac{{{\Delta _{\rm{n}}}}}{{{\delta _{\rm{n}}}}}} \right)\left\{ {\left[ {1 - r + \frac{{{\Delta _{\rm{n}}}}}{{{\delta _{\rm{n}}}}}} \right]\frac{{1 - q}}{{r - 1}}\vphantom{\left( { - \frac{{\Delta _t^2}}{{\delta _t^2}}} \right)} } \right.\nonumber\\ &&\quad \left. { - \left[ {q + \left( {\frac{{r - q}}{{r - 1}}} \right)\frac{{{\Delta _{\rm{n}}}}}{{{\delta _{\rm{n}}}}}} \right]{\rm{exp}}\left( { - \frac{{\Delta _t^2}}{{\delta _t^2}}} \right)} \right\}\end{eqnarray}

where Δ n and Δ t are the interface direction and tangential displacement, respectively; Φ n is the normal fracture energy; δ n and δ t are the normal and tangential characteristic displacement values, respectively, viz.…”

Section: Damage Criterion and Modelingmentioning

confidence: 99%

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Investigation on Dynamic Impact Mechanism of Single Crystal Sapphire 3D Model Based on Cohesive Zone Law

Wang

2023

Cryst. Res. Technol.

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Based on mesh reconstruction technology, a 3D solid model of single crystal sapphire (SCS) with global embedded cohesive element is established in this study. Using exponential cohesive zone law (CZL), the anisotropy of SCS can be effectively characterized by assigning the mechanical properties of matrix element and cohesive element. Taking the C‐plane SCS model as the research object, the whole process of dynamic evolution of cracks in the model under high‐speed surface impact and high concentrated stress impact is reproduced by finite element simulation technology. The simulation is compared with the experimental results from the aspects of crack initiation morphology, crack propagation path, sample fragmentation form, and mechanical response curve. The dynamic compressive strength reaches 1630.3 MPa with the impact velocity of 30 m s–1 in surface impact type. The initial maximum loading force reaches 320 N when the impact velocity is 8.35 m s–1 in the indentation impact type. In addition, by combining the simulation results, this study clarifies the mechanism of strain rate effect exhibited by SCS from the perspective of stress–strain data and crack evolution characteristics. Therefore, the model established in this study can effectively reflect the mechanical behavior of SCS under impact load.

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Section: Damage Evolution Criterion Of the Interfacementioning

confidence: 99%

\begin{eqnarray} \Phi \left( {{\Delta}} \right)& =& {\Phi _{\rm{n}}} + {\Phi _{\rm{n}}} \cdot {\rm{exp}}\left( { - \frac{{{\Delta _{\rm{n}}}}}{{{\delta _{\rm{n}}}}}} \right)\left\{ {\left[ {1 - r + \frac{{{\Delta _{\rm{n}}}}}{{{\delta _{\rm{n}}}}}} \right]\frac{{1 - q}}{{r - 1}}\vphantom{\left( { - \frac{{\Delta _t^2}}{{\delta _t^2}}} \right)} } \right.\nonumber\\ &&\quad \left. { - \left[ {q + \left( {\frac{{r - q}}{{r - 1}}} \right)\frac{{{\Delta _{\rm{n}}}}}{{{\delta _{\rm{n}}}}}} \right]{\rm{exp}}\left( { - \frac{{\Delta _t^2}}{{\delta _t^2}}} \right)} \right\}\end{eqnarray}

Section: Damage Criterion and Modelingmentioning

confidence: 99%

Investigation on Dynamic Impact Mechanism of Single Crystal Sapphire 3D Model Based on Cohesive Zone Law

Wang

2023

Cryst. Res. Technol.

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“…But in the real case, there should be H 2 and CO in the combustion products due to incomplete burning because of the insufficient oxygen in the medium. The combustion equation in the case of incomplete burning has been obtained and presented in Eqn (25) to be used for calculations. Real combustion equation of propellant JA-2 can easily be obtained after assuming mole fraction of CO 2 to that of CO in the products as 1.5, following Değirmenci and Dirikolu 32 .…”

Section: Calculation Of the Heat Convection Coefficients Inside And Outside The Barrelmentioning

confidence: 99%

“…Dynamic viscosity, thermal conductivity and the Prandtl number (Pr) of the burned gas mixture have been calculated considering Eqn (25), as in the study of Değirmenci and Dirikolu 32 , and presented by Eqns ( 28)- (30), respectively. These thermophysical properties of the gas mixture have been obtained using temperature dependent functions for each gas presented in Table 4 and the gas mixture temperature inside the barrel shown in Fig.…”

Section: Calculation Of the Heat Convection Coefficients Inside And Outside The Barrelmentioning

confidence: 99%

“…They concluded that main factors responsible for the life end of 12.7 mm barrel are the variation of the bullet's surface morphology and the increase of its disturbance at the muzzle. Li 25 , et al established the relationship between chromium coating surface temperature and interface shear damage by finite element method and in-situ tensile test in their study. They concluded that increasing the crack spacing of chromium coating and also coating thickness will extend the service life of the gun barrel.…”

Section: Introductionmentioning

confidence: 99%

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Heat Transfer Modelling and Simulation of a 120 mm Smoothbore Gun Barrel During Interior Ballistics

Susantez

Caldeira²

2022

Def. Sc. J.

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Understanding the heat transfer phenomenon during interior ballistics and consequently presenting a realistic model is very important to predict the temperature distribution inside the cannon barrel, which influences the gun wear and the cook-off. The objective of this work is to present a new detailed numerical model for the prediction of thermal behaviour of a cannon barrel by combining PRODAS interior ballistics simulation with COMSOL simulation. In this study, a numerical model has been proposed for the heating behaviour of a 120 mm smoothbore cannon barrel, taking into account the combustion equation of the JA-2 propellant. Temperature dependent thermophysical properties of product gases were used for the calculation of the convective heat transfer coefficient inside the barrel. Projectile position, velocity of the projectile, gas temperature inside the barrel, volume behind the projectile and mass fraction during interior ballistics have been obtained by PRODAS software and used in the numerical model performed by COMSOL multiphysics finite element modelling and simulation software. Temperature simulations show that maximum wall temperature inside the cannon barrel is observed after 3 ms from fire, when maximum value of the convective heat transfer coefficient inside the barrel is observed. The results reveal that the convective heat transfer coefficient of burned gases inside the gun has major effect than the burned gas temperature on the heat transfer phenomenon.

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Study on the formation and development of the white layer in the erosive propellant gas

Zhang

2023

Int J Adv Manuf Technol

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An interface shear damage model of chromium coating/steel substrate under thermal erosion load

Cited by 21 publications

References 35 publications

Investigation on Dynamic Impact Mechanism of Single Crystal Sapphire 3D Model Based on Cohesive Zone Law

Investigation on Dynamic Impact Mechanism of Single Crystal Sapphire 3D Model Based on Cohesive Zone Law

Heat Transfer Modelling and Simulation of a 120 mm Smoothbore Gun Barrel During Interior Ballistics

Study on the formation and development of the white layer in the erosive propellant gas

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