Computer modeling of the dynamics of high-velocity impact and accompanying physical phenomena

Белов, Н. Н.; Демидов, В Н; Efremova, L. V.; Жуков, А. В.; Николаев, А. П.; Simonenko, V. G.; Trushkov, V. G.; Khabibullin, M. V.; Shipovskii, I. E.; Shutalev, V. B.

doi:10.1007/bf00568741

Cited by 19 publications

(13 citation statements)

References 7 publications

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“…In contrast to concrete whose typical feature is brittle fracture, the fracture of the homogeneous two-phase mixture of steel and concrete is rather similar to that of plastic materials [4].…”

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confidence: 98%

Analysis of reinforced-concrete strength under impact loading

Белов

Kabantsev

Konyaev

et al. 2006

J Appl Mech Tech Phys

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A mathematical model is proposed to describe deformation and fracture of reinforced concrete under impact loading within the framework of mechanics of continuous media. The problem of the impact of steel cylindrical projectiles on rectangular slabs made of reinforced concrete is solved. The results of mathematical modeling are in good agreement with experimental data.The problem of impact interaction of cylindrical projectiles with rectangular concrete and reinforced-concrete slabs was solved in [1][2][3]. Concrete fracture was calculated by a phenomenological approach where the strength criteria are expressed in terms of invariant relations between the critical values of macrocharacteristics of the process (stresses and strains). Until the failure criterion is reached, the concrete behavior under dynamic loading is described by the model of a linear elastic body possessing physical and mechanical properties of concrete. As the failure criterion is satisfied, the material is assumed to be damaged by cracks. Fragmentation of the damaged material is described within the framework of the model of a porous elastoplastic medium. Fragmentation of the crack-damaged material subjected to tensile stresses occurs when the relative volume of voids reaches a critical value. If the crack-damaged material is subjected to compressive stresses, the local criterion of fragmentation is either the limiting value of the work of plastic strains or the limiting value of intensity of plastic strains, which is uniquely related to the first factor. The fractured material behaves as a granulated medium that can withstand compressive and shear stresses but fails under the action of tensile stresses. The results of mathematical modeling of impact interaction of steel cylindrical elements with concrete slabs compared with experimental data showed that this approach can be used to calculate the strength of elements of reinforced-concrete structures under dynamic loading.In calculating reinforced-concrete structures, the concrete layer with reinforcing bars is modeled by an elastoplastic medium, which is a homogeneous two-phase mixture of steel and concrete. In contrast to concrete whose typical feature is brittle fracture, the fracture of the homogeneous two-phase mixture of steel and concrete is rather similar to that of plastic materials [4].A mathematical model that allows calculating deformation and fracture of high-strength porous ceramics under explosive and impact loading within the framework of mechanics of continuous media was developed in [5][6][7]. An advantage of this model is the possibility of studying the fracture in porous ceramics under multiple impact loading. This mathematical model was used in [8] to study the mechanisms of particle refinement for obtaining submicron powders in a pneumatic circular machine. This model can be readily adapted to calculating the strength of foam concrete under dynamic loading.

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confidence: 98%

Analysis of reinforced-concrete strength under impact loading

Белов

Kabantsev

Konyaev

et al. 2006

J Appl Mech Tech Phys

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“…Mathematical Model. A mathematical model that allows one to describe the behavior of deformable solids under high-velocity impact and explosion conditions is proposed in [6]. The cleavage failure of ductile materials is considered as the process of growth and coalescence of voids in a plastically deformed material under tensile stresses.…”

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confidence: 99%

“…The effect of the impactor shape on the penetration depth was revealed [4]. The problem of cylindrical impactors penetrating into structures composed of sandy soil and concrete was solved in a three-dimensional formulation [3].Much attention has been given to mathematical simulation of collisions of solid bodies with various monolithic and layered targets made of metal, ceramics, and composite materials (see, e.g., [5][6][7][8]). However, calculating the penetration of solids into reinforced-concrete slabs is still an open question.…”

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confidence: 99%

“…To solve the problem of the impact interaction of a metal impactor of an arbitrary shape with reinforcedconcrete slabs, we use the model of a porous elastoplastic body [6].…”

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confidence: 99%

“…Much attention has been given to mathematical simulation of collisions of solid bodies with various monolithic and layered targets made of metal, ceramics, and composite materials (see, e.g., [5][6][7][8]). However, calculating the penetration of solids into reinforced-concrete slabs is still an open question.…”

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confidence: 99%

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Stress analysis of concrete and reinforced-concrete slab structures under a high-velocity impact

Белов

Yugov

Kopanitsa

et al. 2005

J Appl Mech Tech Phys

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A mathematical model is developed, which describes the behavior of reinforced concrete under highvelocity impact and explosion conditions within the framework of mechanics of continuous media. The problem of a model projectile penetrating into a layered target consisting of two concrete slabs separated by a sand layer and blasting of an explosive charge encased in the embedded projectile is solved in the three-dimensional formulation by the finite-element method. The effect of reinforcement on penetration and failure of reinforced-concrete slabs is studied by means of mathematical simulations.In designing protective structures of underground installations, it is necessary to estimate their resistance to high-rate dynamic loads. This problem can effectively be solved by mathematical simulation of deformation and failure of these structures subjected to an impact or explosion.The problem of the impact interaction between cylindrical metal impactors and concrete targets was solved in [1,2]. To study concrete failure, a phenomenological approach was applied, where the strength criteria are expressed in terms of invariant relations between the critical values of macrocharacteristics of the process: stresses and strains. A comparison of mathematical simulations with the results of a special experiment showed that this approach to the failure problem, used to solve static problems, can also be used to analyze concrete failure under dynamic loads.A mathematical model was developed in [3,4] to analyze the behavior of sandy soil under shock-wave loading. The processes of penetration of cylindrical and star-shaped impactors into a sandy half-space were studied by the method of computer modeling. The effect of the impactor shape on the penetration depth was revealed [4]. The problem of cylindrical impactors penetrating into structures composed of sandy soil and concrete was solved in a three-dimensional formulation [3].Much attention has been given to mathematical simulation of collisions of solid bodies with various monolithic and layered targets made of metal, ceramics, and composite materials (see, e.g., [5][6][7][8]). However, calculating the penetration of solids into reinforced-concrete slabs is still an open question. Results of experimental and theoretical studies on the impact interaction of cylindrical bodies with ogival head parts with concrete and reinforced-concrete slabs within the impact-velocity range of 100-650 m/sec and the impact-angle range of 0-40 • (the angle is counted from the normal to the target surface) can be found in [9]. In the experiments performed, the impactor diameter was smaller than the characteristic size of the reinforcing grid cell. The experimental studies show that reinforcement of a concrete target improves its bearing capacity by preventing the global failure but has little influence on the character of local failure. It follows from the experimental and theoretical results that concrete reinforcement affects the penetration of solids into typical reinforced-concrete targets only sl...

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