Approximate solutions of the Alekseevskii–Tate model of long-rod penetration

Jiao, Weibing; Chen, X. W.

doi:10.1007/s10409-017-0672-9

Cited by 13 publications

(6 citation statements)

References 23 publications

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“…The model is to be solved numerically to determine the time varying variables. One of the approximate solutions for the AT model was presented by Jiao and Chen 24 that provides equations that can be directly solved to obtain the of u,normal v,normal l and p. Both the numerical approach and the approximate solution of Jiao and Chen 24 were used to predict the penetration depth for the experimental data.…”

Section: Resultsmentioning

confidence: 99%

“…One of the approximate solutions for the AT model was presented by Jiao and Chen 24 that provides equations that can be directly solved to obtain the of u,normal v,normal l and p. Both the numerical approach and the approximate solution of Jiao and Chen 24 were used to predict the penetration depth for the experimental data. The penetration depth predicted by the AT model and the experimental penetration data are shown in Figure 7 for dynamic flow stress of projectile material, Yp=1normal normalGPa 11 and penetration resistance of target material, RT=4normal normalGPa.…”

Section: Resultsmentioning

confidence: 99%

“…The model equations can be solved numerically to obtain time-dependent penetration and projectile velocities, P / L and penetration of the projectile. A few closed form approximate solutions have been proposed for the AT model 22–24 which provide good results when compared to the numerical solution. Frank and Zook 25 recommended a modification to the AT model to incorporate multiple phases of penetration in the model equations.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Experimental investigation of impact of long rod eroding projectiles against rolled homogeneous armour

Zaki¹,

Uddin

Mubashar

2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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Long rod eroding penetrators exhibit hydrodynamic behaviour upon impact against the target plates. An experimental study was carried out to investigate the factors affecting the penetration of tungsten alloy rods against rolled homogenous armour at ordnance velocities. Experiments were carried out for range of projectile length to diameter ratios to determine the penetration efficiency of the projectile, where the projectile penetration efficiency is the penetration depth per unit projectile length. Analytical Alekseevski–Tate model was implemented to predict the penetration depth across the length to diameter range and the results were compared with the experimental data. The tungsten percentage of the projectile material was also varied to change its mechanical properties and thus observe the effect of the same on the penetration depth. The experimental results showed a linear relationship between the penetration efficiency and the length to diameter ratio across the considered range of length to diameter ratios. The Alekseevski–Tate model predictions were not consistent across as the model does not consider the effect of length to diameter ratio. The projectiles with high impact energy were able to perforate the target plate.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Experimental investigation of impact of long rod eroding projectiles against rolled homogeneous armour

Zaki¹,

Uddin

Mubashar

2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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show abstract

“…In most cases, the matrix ½h i is often ill-conditioned in engineering practice. This may lead to unstable and inaccurate calculation results by equation (29). In view of this, a twice SVT technique is proposed to solve the ill-conditioned least square problem for improving the stability and reliability of model updating.…”

Section: The Twice Svt Techniquementioning

confidence: 99%

“…One important group of FEM updating techniques is the perturbation methods (also known as the sensitivity methods). In last few decades, the perturbation methods have been widely used in model updating, [1][2][3][4][5] damage detection, [6][7][8][9][10][11][12][13] structural reanalysis, [14][15][16][17][18][19][20] vibration control, [21][22][23][24][25] nonlinear mechanics, [26][27][28][29][30] and so on. The traditional perturbation techniques are all the linear approximation methods based on the series expansion (Taylor series or Neumann series).…”

Section: Introductionmentioning

confidence: 99%

An improved spectral decomposition flexibility perturbation method for finite element model updating

Yang

Sun

2018

Advances in Mechanical Engineering

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Finite element analysis is the most powerful tool to predict the behavior of a structure in engineering practice. Generally, the initial finite element model must be corrected with experimental data due to its complexity. Thus, it is very necessary to study a finite element model updating method with high precision and high efficiency. To this end, this article presented an improved spectral decomposition flexibility perturbation method for structural finite element model updating. The improvements of the proposed method lie in two aspects. First, using the uniform correction model, the proposed method is more economical in computation than the initial method because the spectral decomposition and reorganization of elemental stiffness matrices can be avoided. Second, using the twice singular-value-truncation method, the proposed method has better performance than the initial method in combating data noise. A beam structure is employed to demonstrate the proposed method for model updating in a noisy environment. It was found that the result obtained by least squares estimate is seriously distorted and the result obtained by the first singular value truncation is also not entirely satisfactory. Only the result obtained by the second singular value truncation is the most stable and accurate. Overall, the improved spectral decomposition flexibility perturbation method is robust and effective in small modification case, large modification case, adjacent modification case, and multiple modifications case. The proposed method may be very useful for structural finite element model updating in the noisy environment.

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Pore structure of concrete under fatigue load in areas with large temperature differences

Shi

Zhao

2021

Structural Concrete

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To study the effect of pore structure changes on the fatigue life of concrete in areas with large temperature differences, a concrete fatigue test program was designed after a temperature cycle of À50 to 70 C. Results show that temperature differences considerably influence pores with a size ranging from 0.1 to 27.98 nm. Furthermore, the fatigue life of concrete gradually decreases with the increase in the pore structure parameters of 0.1 to 27.98 nm. This result indicates that the effect of temperature difference on the fatigue life of concrete in areas with large temperature differences must not be ignored. The combined effect of temperature differences and load increases the coarsening rate of the pore structure, and the load remarkably affects pores with a size ranging from 524.26 to 10,000 nm. To characterize the pore structure of concrete under temperature cycling and fatigue load, two pore structure characteristic parameters, namely, comprehensive change rate of pore size (S z ) and pore structure complexity coefficient (C z ), are proposed. These parameters, together with the total porosity (P total ), form a three-dimensional pore structure characteristic parameter and establish the relationship expression between the three-dimensional pore structure parameters and the fatigue life of concrete (N); thus, they provide basis for the prediction of the fatigue life of concrete on the basis of pore structure.

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Approximate solutions of the Alekseevskii–Tate model of long-rod penetration

Cited by 13 publications

References 23 publications

Experimental investigation of impact of long rod eroding projectiles against rolled homogeneous armour

Experimental investigation of impact of long rod eroding projectiles against rolled homogeneous armour

An improved spectral decomposition flexibility perturbation method for finite element model updating

Pore structure of concrete under fatigue load in areas with large temperature differences

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