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[Text] / V. M. Sadovskii, O. V. Sadovskaya // ECCOMAS Thematic Conference - COMPDYN 2013: 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings - An IACM Special Interest Conference. - 2013. - P4277-4286
Аннотация: Mathematical model for the description of deformation of a porous material with a random distribution of pores is constructed on the basis of generalized rheological method taking into account the different resistance of a material to tension and compression. Phenomenological parameters of the model are determined by means of the approximate computations for the problem of static loading of a cubic periodicity cell with spherical cavities. Within the framework of this theory the fields of displacements and stresses around expanding cavity of spherical shape in a homogenious space are constructed. It is shown that the porosity does not change at the stage of elastic deformation. When the pressure increases, a zone of plastic compaction is formed in the vicinity of a cavity, and in a part of this zone the collapse of pores takes place. Engineering formulas for calculation of critical pressures of the elastic limit state and the limit state of a medium with open pores, and also the formulas for determining the radiuses of interfaces of zones of plasticity and compaction are obtained. A complex of parallel programs for numerical analysis of the dynamic deformation of porous materials on multiprocessor computer systems is worked out. By means of this complex a series of computations for deformation of the protection elements, made of metal foams, under the action of localizedim pulsive loads was performed. The random nature of distribution of the pores size is taken into account with the help of computer modeling. Computations allow one to estimate plastic dissipative part of the energy of impact.

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Доп.точки доступа:
Sadovskaya, O.V.; Садовская, Оксана Викторовна; Садовский, Владимир Михайлович

/ V. M. Sadovskii, O. V. Sadovskaya // 9th Australasian Congress on Applied Mechanics, ACAM 2017 : National Committee on Applied Mechanics, 2017. - Vol. 2017-November: 9th Australasian Congress on Applied Mechanics, ACAM 2017 (27 November 2017 through 29 November 2017, ) Conference code: 135086 . -
Аннотация: Traditional rheological method is supplemented by a new element called rigid contact, which serves to take into account different resistance of materials to tension and compression. Based on this method, mathematical model describing deformation of a porous medium is constructed, which takes into account change in the resistance to external mechanical impact at a moment of collapse of pores. Parallel computational algorithm is developed for the analysis of dynamics of porous materials, accompanied by plastic deformation of skeleton and collapse of pores. This algorithm is tested on supercomputers in the problems about propagation of plane longitudinal compression shock waves and the expansion of cylindrical cavity in an infinite porous medium. The solutions of these problems are obtained in closed form in the framework of the suggested mathematical model. It is shown that, depending on the porosity of the medium and the value of the yield point, the instantaneous loading of a half-space with constant pressure leads to the formation of one or two shock waves – an elastic longitudinal wave, a plastic wave or waves of elastic or plastic compaction. Critical pressures of limit states and radii of interfaces between characteristic zones of plasticity and compaction are calculated numerically in the problem of radial expansion of cavity with sufficiently high precision. © 2017 National Committee on Applied Mechanics. All Rights Reserved.

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Держатели документа:
Institute of Computational Modelling SB RAS, Akademgorodok 50/44, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Sadovskii, V. M.; Sadovskaya, O. V.