Mathematical modeling and methods of indentifying strain and strength characteristics of materials

Баженов, В. Г.

doi:10.1016/j.physme.2007.11.009

Cited by 4 publications

(4 citation statements)

References 17 publications

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“…Conclusions. The parameters of the dependences of the pressure on density and yield point in dry sandy soil were determined using the experimental-theoretical method of identifying the parameters of the equation of state for soft soil proposed in [40] and the results of reversed experiments on penetration of projectiles with flat and hemispherical heads in sandy soil. Good agreement between the calculation and experimental data at impact velocities of 50-450 m/sec confirms the efficiency of the method developed in [48,49] in the velocity and pressure ranges in which the shear properties of soil are of significance.…”

Section: Results Of Numericalmentioning

confidence: 99%

“…It seems promising to extend the experimental-computation approach of [40] to study soil properties under dynamic loading using well-known soil models [41,42], methods of mathematical modeling of impact and penetration of deformable projectiles in soil [42][43][44][45][46][47], and data of reversed experiments [10,11]. The dependence of the penetration resistance on the parameters of the soft soil model has been studied previously.…”

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confidence: 99%

“…In the present work, dynamic compressibility parameters and the pressure dependence of the yield point are determined using an experimental-computational method [40] 1. Resistance to penetration a flat-nosed projectile in sandy soil versus penetration depth: points correspond to experiments, curves to calculations (solid curves correspond to calculations using the obtained parameters of the model, dot-and-dashed curves to calculations using the pressure linear dependence of the yield point, and dashed curve to calculations in a hydrodynamic approximation).…”

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confidence: 99%

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Experimental-theoretical study of the penetration of rigid projectiles and identification of soil properties

Баженов

Bragov

Котов

2009

J Appl Mech Tech Phy

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The parameters of the Grigoryan soil model are determined using an experimental-computational method previously proposed and the results of reversed experiments on penetration of projectiles with flat and hemispherical heads at impact velocities of 50-450 m/sec in sandy soil. It is shown that the quasistationary dependences of the resistance force on impact velocity obtained in the reversed experiment can be used to solve problems of deep penetration of projectile in soil with an error not exceeding the measurement error.Penetration. The impact and penetration of projectiles in soil have been studied extensively (see, for example, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]). However, these studies were primarily concerned with the penetration of rigid projectiles in plastic (clay and loamy) soils [8][9][10][11][12][13][14][15][16]. In [13,14], an experimental-theoretical method of dynamic penetration was proposed to determine the shear resistance of clay soil as an ideally plastic medium with the Tresca-Saint Venant plasticity condition; this approach was elaborated in [15][16][17]. Using the hypotheses of incompressibility and ideal plasticity and other simplified concepts of dynamic soil behavior, which are valid to some extent for plastic soil, domestic [1][2][3][4][17][18][19][20][21][22][23][24][25] and [5,6,[26][27][28][29][30][31] foreign authors have developed analytical methods for studying the penetration of rigid bodies of revolution into soil.There have been a few experiments investigating the pulsed loading of loose soil [31][32][33], and the properties of these media are less understood. In experimental studies [34][35][36] of the dynamic compressibility of sandy soils with a plane shock wave, only the shock adiabat of the medium was determined. The compressibility of the medium in penetration experiments was also determined in [37]. The use of a modified Kolsky method [38, 39] with a system of split Hopkinson bar to study the compressibility and plastic properties of soil is restricted by the elastic limit of the material of the measuring bar and holders, which does not exceed 0.5 GPa. Thus, at present, effective methods for studying physicomechanical properties of soil over a wide range of pressure have been developed insufficiently.It seems promising to extend the experimental-computation approach of [40] to study soil properties under dynamic loading using well-known soil models [41,42], methods of mathematical modeling of impact and penetration of deformable projectiles in soil [42][43][44][45][46][47], and data of reversed experiments [10,11]. The dependence of the penetration resistance on the parameters of the soft soil model has been studied previously. It has been established that features of the time dependence of the resistance force allow the force maximum to be used to determine the dynamic compressibility of soil [37], and the quasistationary value can be used to determine its strength (elastoplastic) characteristics [48,49]. A convergent iterative process has been constr...

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Section: Results Of Numericalmentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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Experimental-theoretical study of the penetration of rigid projectiles and identification of soil properties

Баженов

Bragov

Котов

2009

J Appl Mech Tech Phy

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“…Another methodology is based on the development of new constitutive relations, taking into account micro (or meso) mechanical properties of materials in order to describe elasto‐plastic or thermo‐elastic macroscopic materials behaviour . Note, among others, multi‐scale models with evolution constitutive relations of different levels of observation .…”

Section: Introductionmentioning

confidence: 99%

Multi‐scale approach for strength properties estimation in functional materials

et al. 2018

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A new methodology to obtain metallic functional materials with predefined sets of strength properties has been developed. It has been shown that in order to accurately estimate set of material properties at the macro‐level, information from the micro‐level needs to be taken into account. As a result a two‐level estimation model, based on the theory of fuzzy sets, has been proposed. To demonstrate the developed methodology, a reinforcing steel has been analysed. Using microstructural information, derived from an available set of experimentally obtained digital images of material microsections under different heat treatment conditions, macroscopic strength properties of reinforcing steel have been determined.

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Mathematical and Computer Modelling as the Basis of Structural Health Monitoring

Kaytukov

Belostosky

Akimov

et al. 2018

IOP Conf. Ser.: Mater. Sci. Eng.

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Mathematical modeling and methods of indentifying strain and strength characteristics of materials

Cited by 4 publications

References 17 publications

Experimental-theoretical study of the penetration of rigid projectiles and identification of soil properties

Experimental-theoretical study of the penetration of rigid projectiles and identification of soil properties

Multi‐scale approach for strength properties estimation in functional materials

Mathematical and Computer Modelling as the Basis of Structural Health Monitoring

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