Моделирование упругопластического поведения материала…
11
Modelling of material elastoplastic behavior
under impact loading
© T.A. Butina, V.M. Dubrovin
Bauman Moscow State Technical University, Moscow, 105005, Russia
The article describes a suggested calculation model of elastoplastic behavior of materials
under intense loading.
Complex stress-strain state rises in structural elements under the
influence of intense transient loads.
The shock wave, moving along the material, causes
its heating due to the mutual transfer of mechanical energy into heat which arises due to
the large deformation rates, which are caused by impact loading.
Processes that are af-
fected by the rate of deformation are still not well studied experimentally
.
Changing of
the material properties during deformation affects in the result on the behavior of the
whole structure, its performance. The tasks associated with the plastic behavior of mate-
rials are of great interest. In this work we consider stress distribution in a two-layer
sphere.
Keywords:
stress-strain state, plastic deformation, rate of plastic deformation, yield
strength.
REFERENCES
[1] Kachanov L.M.
Osnovy teorii plastichnosti
[
Fundamentals of the theory of plas-
ticity]
. Mosc
o
w, Nauka Publ., 1969, 415 p.
[2] Dimitrienko Yu.I.
Mekhanika sploshnoy sredy. Tom 1. Tenzornyi analiz
[Con-
tinuum Mechanics. Vol. 1. Tensor Analysis]. Moscow, BMSTU Publ., 2011,
463 p.
[3] Dimitrienko Yu.I.
Mekhanika sploshnoy sredy. Tom 2. Universalnye zakony
mekhaniki i elektrodinamiki sploshnoy sredy
[Continuum Mechanics. Vol. 2.
Universal laws of mechanics and electrodynamics of continuous media]. Mos-
cow, BMSTU Publ., 2011, 560 p.
[4] Butina T.A., Dubrovin V.M.
Inzhenernyi zhurnal: nauka i innovatsii
—
Engi-
neering Journal: Science and Innovations
, 2013, no. 7(19), Available at:
Butina T.A.
(b. 1950) graduated from the Faculty of Management and Applied Mathe-
matics of the Moscow Institute of Physics and Technology in 1974. Ph.D., Assoc. Profes-
sor of the Computational Mathematics and Mathematical Physics Department of Bauman
Moscow State Technical University. A specialist in the field of strength and stability of
deformable systems. e-mail:
Dubrovin V.M.
(b. 1934) graduated from the Faculty of Mathematics and Mechanics of
the Saratov State University in 1958. Ph.D., Assoc. Professor of the Computational
Mathematics and Mathematical Physics and of the Higher Mathematics Departments of
Bauman Moscow State Technical University. Research interests: dynamics, strength and
stability of deformable systems; creep of structural materials. He is the author of five
inventions.
e-mail: vmdubrovinvm1934@ mail.ru
