156
12 Origin and Development of Plasticity Theory
results for the elastic–plastic deformation of several construction materials in the
case of a complex stressed state. Special attention is paid to experiments where
unloading is done on some areas affected by extreme tangential stresses and loading
is done on other areas. It was found that in this case, significantly increased
resistance of materials to plastic shear was possible, which is manifested by
increased strength in specific directions at special loading trajectories. Let us note
that such experiments were later duplicated in the PhD thesis by N. S. Adigamov [1]
to justify synergetic representations in the theory of non-elastic deformations.
Among training aids, we must note the third edition of the book by Yu. N.
Radayev [55] containing a complete and systematic description of methods and
results related to a 3D problem of mathematic plasticity theory. From new study
literature, we shall name the book by V. T. Sapunov [70, 71]. It introduces primary
laws and equations and methods to solve boundary tasks of modern plasticity
and creep theory; solutions are given for tasks of elastic plastic deformation and
creep for some elements of structures as applicable to structural strength analysis
in engineering. Special attention is paid to the simplicity of stating determinant
equations of plasticity and creep theory and problems revealing the stress–strain
state of structural elements.
According to studies made in the Soviet period, a number of theses in the
theory of plasticity were presented in the 1990s. Among them is the paper by A.M.
Kovrizhnykh [35] that proposes two models of a plastic body, which correlate in
initial representations with the dependencies of A. K. Malmeister [46] and K. N.
Rusinko [69], and the thesis by E. N. Erokhina [11] dedicated to the primary
development of solution methods to the problems of applied plasticity theory.
In the second post-Soviet half-period, theoretical developments gradually
emerge, and in new economic conditions, fundamental science becomes more
oriented towards production needs. It must be noted here that a practical trend of
Russian academician science was its distinctive feature after its birth. It is sufficient
to recall M. V. Lomonosov and his theses in mining, metallurgy, etc. An example
of such works in the development of mechanics of non-elastic deformations was
the monograph by S. A. Khristianovich [31] published in 2008 that proposed and
developed a new model of plastic deformation of materials in the case of complex
loading applicable to the problem of sudden bursts of coal, rock, and gas. The
proposed model explains the mechanism of a catastrophic phenomenon called a
rock burst in geomechanics. In fact, the monograph solves a number of problems of
the theory of rock bursts. 2
New trends in the development of non-elasticity theory in the second half of the
post-Soviet period include the so-called theory of processes. The primary ideas of
that theory are based on the isotropy postulate of A.A. Ilyushin and the principle
2 The theory of rock bursts was created by S. G. Avershin [5], a founder of the Soviet scientific
school studying the process of rock movement and causes of rock bursts under the action of
underground excavations.
12 Origin and Development of Plasticity Theory
results for the elastic–plastic deformation of several construction materials in the
case of a complex stressed state. Special attention is paid to experiments where
unloading is done on some areas affected by extreme tangential stresses and loading
is done on other areas. It was found that in this case, significantly increased
resistance of materials to plastic shear was possible, which is manifested by
increased strength in specific directions at special loading trajectories. Let us note
that such experiments were later duplicated in the PhD thesis by N. S. Adigamov [1]
to justify synergetic representations in the theory of non-elastic deformations.
Among training aids, we must note the third edition of the book by Yu. N.
Radayev [55] containing a complete and systematic description of methods and
results related to a 3D problem of mathematic plasticity theory. From new study
literature, we shall name the book by V. T. Sapunov [70, 71]. It introduces primary
laws and equations and methods to solve boundary tasks of modern plasticity
and creep theory; solutions are given for tasks of elastic plastic deformation and
creep for some elements of structures as applicable to structural strength analysis
in engineering. Special attention is paid to the simplicity of stating determinant
equations of plasticity and creep theory and problems revealing the stress–strain
state of structural elements.
According to studies made in the Soviet period, a number of theses in the
theory of plasticity were presented in the 1990s. Among them is the paper by A.M.
Kovrizhnykh [35] that proposes two models of a plastic body, which correlate in
initial representations with the dependencies of A. K. Malmeister [46] and K. N.
Rusinko [69], and the thesis by E. N. Erokhina [11] dedicated to the primary
development of solution methods to the problems of applied plasticity theory.
In the second post-Soviet half-period, theoretical developments gradually
emerge, and in new economic conditions, fundamental science becomes more
oriented towards production needs. It must be noted here that a practical trend of
Russian academician science was its distinctive feature after its birth. It is sufficient
to recall M. V. Lomonosov and his theses in mining, metallurgy, etc. An example
of such works in the development of mechanics of non-elastic deformations was
the monograph by S. A. Khristianovich [31] published in 2008 that proposed and
developed a new model of plastic deformation of materials in the case of complex
loading applicable to the problem of sudden bursts of coal, rock, and gas. The
proposed model explains the mechanism of a catastrophic phenomenon called a
rock burst in geomechanics. In fact, the monograph solves a number of problems of
the theory of rock bursts. 2
New trends in the development of non-elasticity theory in the second half of the
post-Soviet period include the so-called theory of processes. The primary ideas of
that theory are based on the isotropy postulate of A.A. Ilyushin and the principle
2 The theory of rock bursts was created by S. G. Avershin [5], a founder of the Soviet scientific
school studying the process of rock movement and causes of rock bursts under the action of
underground excavations.