К вопросу о расчете давления и температуры в материале…
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On the issue of pressure and temperature calculation
in materials under impulse loading
© T.A. Butina, V.M. Dubrovin
Bauman Moscow State Technical University, Moscow, 105005, Russia
Impulse heat-loading is one of the most important parameters in calculating the behavior
of structural elements in modern technology. Using available experimental data of struc-
tural materials, we found a method of obtaining a curve of elastic pressure. The tech-
nique helps to obtain the values of pressure and temperature behind the shock wave front
without applying the hypotheses about the interaction potentials of atoms in the medium.
Keywords:
impulse loading, elastic pressure, internal energy, shock adiabat, shock wave
front, temperature, heating.
REFERENCES
[1]
Stanyukovich K.P.
Fizika vzryva
[Physics of explosions]. Moscow, Fizmatgiz
Publ., 1975, 597 p.
[2]
Regirer L.S.
Udarnye volny
[Shock waves]. Moscow, Nauka Publ., 1979, 542 p.
[3]
Dimitrienko Yu.I.
Mekhanika sploshnoy sredy. Tom 4. Osnovy mekhaniki tverdogo
tela
[Continuum mechanics. Vol. 4. Fundamentals of solid mechanics]. Moscow,
BMSTU Publ., 2013, 624 p.
[4]
Dimitrienko Yu.I.
Mekhanika sploshnoy sredy
.
Tom 2.
Universalnye zakony
mekhaniki i elektrodinamiki sploshnykh sred
[Continuum mechanics.
Vol. 4
.
General laws of continuum mechanics and electrodynamics]. Moscow, BMSTU
Publ., 2011, pp. 559.
[5]
Jarkov V.I., Kalinin V.A.
Uravnenie sostoyaniya tverdykh tel pri vysokikh
davleniyakh i temperaturakh
[Solid state equations under high pressures and
temperatures]. Moscow, Nauka Publ., 1968, 324 p.
[6]
Butina T.A.
Inzhenernyy zhurnal: nauka i innovatsii — Engineering Journal:
Science and Innovation
, 2013, no. 7 (19). doi: 10.18698/2308-6033-2013-7-897
[7]
Dimitrienko Yu.I.
Mekhanika sploshnoy sredy. Tom 1. Tenzornyy analiz
[Continuum Mechanics. Vol. 1. Tensor Analysis]. Moscow, BMSTU Publ.,
2011, pp. 463.
[8]
Titov K.V.
Vestnik MGTU im. N.E. Baumana. Ser. Estestvennye nauki —
Herald of Bauman Moscow State Technical University. Ser. Natural Sciences
,
2011, spets. vypusk “Matematicheskoe modelirovanie” [special issue “Math.
modeling”], pp. 110–114.
[9]
Dimitrienko Yu.I., Dzaganiya
A.Yu., Belenovskaya Yu.V., Vorontsova M.A.
Vestnik MGTU im. N.E. Baumana. Ser. Estestvennye nauki — Herald of Bauman
Moscow State Technical University. Ser. Natural Sciences
, 2008, no. 4, pp. 100–117.
[10]
Dimitrienko Yu.I., Belenovskaya Yu.V., Aniskovich V.A.
Nauka i obrazovanie.
Elektronnyy zhurnal — Science and Education. Electronic journal
, 2013, no. 12.
doi: 10.7463/1213.0665297
[11]
Bakhvalov N.S.
Chislennye metody
[Numerical methods]. Moscow, Lomonosov
MSU Publ., 2008, 636 p.
[12]
Boli B., Yaner A.
Teoriya temperaturnykh napryazheniy
[Theory of thermal
stresses]. Moscow, Mir Publ., 1964, 515 p.
[13]
Rice M.C., McQueen R.G., Walsh J.M.
Dinamicheskie issledovaniya tverdykh
tel pri vysokikh davleniyakh
[Dynamic solids research under high pressures].
Moscow, Mir Publ., 1965, 284 p. (in Russian).