Review of mathematical models and methods to research the explosive loads propagation in continuous environments
DOI:
https://doi.org/10.32347/2410-2547.2025.114.76-82Keywords:
dynamic loads, explosive effects, shock wave, plastic deformations, strain rate, explosion model, stress-strain state, finite element methodAbstract
Design calculations in building and structure engineering are inextricably linked to the analysis of strength, stability, and the stress-strain state (SSS) of structural elements. Today, the importance of assessing structures under special loads and impacts has significantly increased. However, such analyses are often complicated due to the underdevelopment of the mathematical framework and insufficient understanding of the nature and propagation characteristics of such loads. As a result, the creation of adequate computational models becomes nearly impossible. A distinct category among special load analyses is dynamic assessment under seismic, impulsive, and impact loads, including explosive effects.
The current state of the problem of constructing blast loads waves propagation mathematical models and approaches to study the dynamic response of structures and buildings under their influence is considered. The classification of different intensity dynamic processes in relation to the deformation rate is given and recommendations for choosing the most effective methods for integrating the computational equations of motion in the time coordinate are given. A review of works on the study of dynamic waves in anisotropic and isotropic environments and soil masses is conducted.
The aim of this series of studies is to develop new effective models, methods, and algorithms for analyzing the propagation of shock stress waves in continuous media using the finite element method (FEM). Based on this, the goal is to create numerical tools capable of providing rapid assessments of the impact of extreme transient loads of impulsive or explosive nature on aboveground and underground civil and engineering structures.
References
Lindholm U.S. In: Techniques in Metals Research / ed. by R.F. Bunshah. Vol. 5, pt 1. N.Y. : Interscience, 1971.
Karnaukhov V.H., Revenko Yu.V. Statsionarni kolyvannia ta dysypatyvnyi rozihriv viazkopruzhnykh tonkostinnykh elementiv pry dii na nykh rukhomoho navantazhennia (Stationary vibrations and dissipative heating of viscoelastic thin-walled elements under moving load) // Bulletin of the National Technical University "KhPI". 2002. Issue. 9, v. 8. P. 97–103.
Panovko Ya.H., Hubanova I.I. Ustoichyvost y kolebanyia upruhykh system (Stability and vibrations of elastic systems.). M. : Nauka, 1987. 352 p.
Dmytryev A.B., Stratonova M.M., Tolmach H.U. Raschet chastot y form kolebanyi mekhanycheskoi systemы po spektru chastot y form kolebanyi podsystem (Calculation of frequencies and modes of vibration of a mechanical system based on the spectrum of frequencies and modes of vibration of subsystems) // Proceedings of the Central Institute of Aviation Motors.. 1982. № 996. P. 177–184.
Klaf R. Dynamyka sooruzhenyi (Dynamics of structures). M. : Stroiyzdat, 1979. 320 p.
Wilkinson J.H. Alhebraycheskaia problema sobstvennыkh znachenyi (Algebraic eigenvalue problem). M. : Nauka, 1970. 327 s.
Bate K., Wilson E. Chyslennыe metodы analyza y metod konechnыkh эlementov (Numerical methods of analysis and finite element method). M. : Stroiyzdat, 1982. 447 p.
Bate K.Y., Wilson E.L. Stability and accuracy of direct integration methods // Earthquake Engineering and Structural Dynamics. 1973. Vol. 1. P. 283–291.
Nickell R.E. On the stability of approximation operators in problem of structural dynamics // International Journal of Solids and Structures. 1971. Vol. 7. P. 301–319.
Іsakov N.Iu., Yspolov Yu.H., Shabrov N.N. Metod chyslennoho yntehryrovanyia uravnenyi dynamyky bolshykh konechno-эlementnыkh modelei (Method of numerical integration of the equations of dynamics of large finite element models) // Strength of Materials. 1987. № 12. P. 91–95.
Figuli L. et al. Numerical analysis of the blast wave propagation due to various explosive charges // Advances in Civil Engineering. 2020. Vol. 2020, No. 1. P. 8871412.
Lee E.L., Hornig H.C., Kury J.W. Adiabatic Expansion of High Explosive Detonation Products. Livermore: University of California, Lawrence Radiation Laboratory, 1968. 45 p. (Report UCRL-50422).
Kingery R.D., Bulmash G. Airblast Parameters from TNT Spherical Air Burst and Hemispherical Surface Burst. – Aberdeen Proving Ground, MD: U.S. Army Ballistic Research Laboratory, 1984. – Report ARBRL-TR-02555.
He X. et al. A modified numerical-flux-based discontinuous Galerkin method for 2D wave propagations in isotropic and anisotropic media // Geophysics. 2020. Vol. 85, No. 5. P. T257–T273.
Clarke S. et al. Characterisation of buried blast loading // Proceedings of the Royal Society A. 2020. Vol. 476. P. 20190791.
Katko B.J. et al. Experimental and numerical study of blast-structure interaction // In: Structures Congress 2020. Reston, VA : American Society of Civil Engineers, 2020. P. 105–118.
Dela Cueva J.C.A. et al. Blast wave interaction with structures: An application of exploding wire experiments // Multiscale and Multidisciplinary Modeling, Experiments and Design. 2020. Vol. 3. P. 337–347.
Ichino H. et al. Effects of EPS density on blast mitigation performance in underground protective structures // International Journal of Impact Engineering. 2022. Vol. 164. 104189.
Khodaparast M., Mohamad Momeni R., Bayesteh H. Numerical simulation of surface blast reduction using composite backfill // Geosynthetics International. 2022. Vol. 29, No. 1. P. 66–80.
Ambrosini D., Luccioni B. Effects of underground explosions on soil and structures // Underground Space. 2020. Vol. 5, No. 4. P. 324–338.
Pan Y. et al. Experimental and numerical study on ground shock propagation in calcareous sand // International Journal of Impact Engineering. 2023. Vol. 180. 104724.
Solodei I.I., Zatyliuk H.A. Doslidzhennia dostovirnosti ta efektyvnosti vykorystannia modelei zmitsniuvanoho gruntu v ramkakh metoda skinchennykh elementiv (Study of the reliability and efficiency of using reinforced soil models within the framework of the finite element method) // Strength of Materials and Theory of Structures: sci.-tech. coll. art. K. : KNUBA, 2022. Issue 109. P. 30–37. https://doi.org/10.32347/2410-2547.2022.109.30-37.
Solodei I.I., Petrenko E.Iu., Zatyliuk H.A. Osoblyvosti stvorennia rozrakhunkovykh modelei pry doslidzhenni napruzheno-deformovanoho stanu pidzemnykh sporud (Features of the numerical simulation in research on the stress strain behavior of underground structures) // Strength of Materials and Theory of Structures: sci.-tech. coll. art. K. : KNUBA, 2019. Issue 102. P. 139–149. https://doi.org/10.32347/2410-2547.2019.102.139-149.
Keskin İ. et al. An evaluation on effects of surface explosion on underground tunnel; availability of ABAQUS Finite Element Method // Tunnelling and Underground Space Technology. 2022. Vol. 120. 104306.
Solodei I.I., Petrenko E.Yu., Zatyliuk G.A. Nonlinear problem of structural deformation in interaction with elastoplastic medium // Strength of Materials and Theory of Structures: sci.-tech. coll. art. K. : KNUBA, 2020. Issue 105. P. 48–63. https://doi.org/10.32347/2410-2547.2020.105.48-63.
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