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Title: Calculations of the stress tensor under Symmetric cylindrical shock wave loading

Abstract

The calculation of the components of the stress tensor under symmetric cylindrical shock wave loading, when the pressure impulse of cylindrical symmetry is being spread uniformly along the surface of an infinite cylindrical elastic body, have been carried out. The objective of these calculations is to assess with a sufficient approximation the stress-deformed state in samples during low intensity axis-symmetric shock wave loading. The necessity of such an assessment is grounded on a wide utilization and practical applications of shock wave axis-symmetric loading used in the explosive processing of advanced materials. Tile main assumptions made at the initial stage of these calculations are: elasticity and isotropy of medium, constancy of the sound speed and Lame elasticity constants, and medium boundary conditions of cylindrical symmetry. Subsequently, the removal of some assumptions during the investigation process makes possible to take into account effects engendered by boundary conditions' asymmetry and changes in the sound speed and Lame constants These changes are caused by irreversible thermal transformations going on in the medium. Well known methods for solving differential equations, such as the Fourier method, functions of Bessel, Neumann, and Hankel, equations of Helmholtz, are used in these calculations. These calculations, assuming axial symmetry, aremore » presented as a set of simple equations where the arguments are components of the stress tensor and the solution of this set, for this specific case, gives all the components of the stress tensor.« less

Authors:
 [1];  [2];  [3]; ;  [4];  [5]
  1. (Nikoloz M.)
  2. (Ilia)
  3. (Fernand D. S.)
  4. (Levan A.)
  5. (Akaki B.)
Publication Date:
Research Org.:
Los Alamos National Laboratory
Sponsoring Org.:
USDOE
OSTI Identifier:
975743
Report Number(s):
LA-UR-01-5097
TRN: US201018%%830
Resource Type:
Conference
Resource Relation:
Conference: "Submitted to : 131st Annual Meeting TMS, Indianapolis, IN, Nov. 4-8, 2001"
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; APPROXIMATIONS; ASYMMETRY; AXIAL SYMMETRY; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; ELASTICITY; EXPLOSIVES; ISOTROPY; PROCESSING; REMOVAL; SHOCK WAVES; SYMMETRY; TRANSFORMATIONS

Citation Formats

Chikhradze, N. M., Lomidze, I., Marquis, F. D. S., Staudhammer, Karl P., Japaridze, L. A., and Peikrishvili, A. B. Calculations of the stress tensor under Symmetric cylindrical shock wave loading. United States: N. p., 2001. Web.
Chikhradze, N. M., Lomidze, I., Marquis, F. D. S., Staudhammer, Karl P., Japaridze, L. A., & Peikrishvili, A. B. Calculations of the stress tensor under Symmetric cylindrical shock wave loading. United States.
Chikhradze, N. M., Lomidze, I., Marquis, F. D. S., Staudhammer, Karl P., Japaridze, L. A., and Peikrishvili, A. B. Mon . "Calculations of the stress tensor under Symmetric cylindrical shock wave loading". United States. doi:. https://www.osti.gov/servlets/purl/975743.
@article{osti_975743,
title = {Calculations of the stress tensor under Symmetric cylindrical shock wave loading},
author = {Chikhradze, N. M. and Lomidze, I. and Marquis, F. D. S. and Staudhammer, Karl P. and Japaridze, L. A. and Peikrishvili, A. B.},
abstractNote = {The calculation of the components of the stress tensor under symmetric cylindrical shock wave loading, when the pressure impulse of cylindrical symmetry is being spread uniformly along the surface of an infinite cylindrical elastic body, have been carried out. The objective of these calculations is to assess with a sufficient approximation the stress-deformed state in samples during low intensity axis-symmetric shock wave loading. The necessity of such an assessment is grounded on a wide utilization and practical applications of shock wave axis-symmetric loading used in the explosive processing of advanced materials. Tile main assumptions made at the initial stage of these calculations are: elasticity and isotropy of medium, constancy of the sound speed and Lame elasticity constants, and medium boundary conditions of cylindrical symmetry. Subsequently, the removal of some assumptions during the investigation process makes possible to take into account effects engendered by boundary conditions' asymmetry and changes in the sound speed and Lame constants These changes are caused by irreversible thermal transformations going on in the medium. Well known methods for solving differential equations, such as the Fourier method, functions of Bessel, Neumann, and Hankel, equations of Helmholtz, are used in these calculations. These calculations, assuming axial symmetry, are presented as a set of simple equations where the arguments are components of the stress tensor and the solution of this set, for this specific case, gives all the components of the stress tensor.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2001},
month = {Mon Jan 01 00:00:00 EST 2001}
}

Conference:
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