Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Bi-material plane with interface crack for the model of semi-linear material. / Доманская, Татьяна Олеговна; Мальков, Вениамин Михайлович; Малькова, Юлия Вениаминовна.
EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. ред. / Elena V. Kustova; Gennady A. Leonov; Mikhail P. Yushkov; Nikita F. Morosov; Mariia A. Mekhonoshina. Том 1959 American Institute of Physics, 2018. 070009 (AIP Conference Proceedings; Том 1959).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
}
TY - GEN
T1 - Bi-material plane with interface crack for the model of semi-linear material
AU - Доманская, Татьяна Олеговна
AU - Мальков, Вениамин Михайлович
AU - Малькова, Юлия Вениаминовна
N1 - Conference code: 8
PY - 2018/5/2
Y1 - 2018/5/2
N2 - The singular plane problems of nonlinear elasticity (plane strain and plane stress) are considered for bi-material infinite plane with interface crack. The plane is formed of two half-planes. Mechanical properties of half-planes are described by the model of semi-linear material. Using model of this harmonic material has allowed to apply the theory of complex functions and to obtain exact analytical global solutions of some nonlinear problems. Among them the problem of bi-material plane with the stresses and strains jumps at an interface is considered. As an application of the problem of jumps, the problem of interface crack is solved. The values of nominal (Piola) and Cauchy stresses and displacements are founded. Based on the global solutions the asymptotic expansions are constructed for stresses and displacements in a vicinity of crack tip. As an example the case of a free crack in bi-material plane subjected to constant stresses at infinity is studied. As a special case, the analytical solution of the problem of a crack in a homogeneous plane is obtained from the problem for bi-material plane with interface crack.
AB - The singular plane problems of nonlinear elasticity (plane strain and plane stress) are considered for bi-material infinite plane with interface crack. The plane is formed of two half-planes. Mechanical properties of half-planes are described by the model of semi-linear material. Using model of this harmonic material has allowed to apply the theory of complex functions and to obtain exact analytical global solutions of some nonlinear problems. Among them the problem of bi-material plane with the stresses and strains jumps at an interface is considered. As an application of the problem of jumps, the problem of interface crack is solved. The values of nominal (Piola) and Cauchy stresses and displacements are founded. Based on the global solutions the asymptotic expansions are constructed for stresses and displacements in a vicinity of crack tip. As an example the case of a free crack in bi-material plane subjected to constant stresses at infinity is studied. As a special case, the analytical solution of the problem of a crack in a homogeneous plane is obtained from the problem for bi-material plane with interface crack.
KW - ASYMPTOTIC ANALYSIS
KW - ELASTOSTATICS
KW - ELLIPTIC INCLUSION
KW - FIELD
KW - FINITE DEFORMATIONS
KW - TIP
UR - http://www.scopus.com/inward/record.url?scp=85047207738&partnerID=8YFLogxK
U2 - 10.1063/1.5034684
DO - 10.1063/1.5034684
M3 - Conference contribution
VL - 1959
T3 - AIP Conference Proceedings
BT - EIGHTH POLYAKHOV'S READING
A2 - Kustova, Elena V.
A2 - Leonov, Gennady A.
A2 - Yushkov, Mikhail P.
A2 - Morosov, Nikita F.
A2 - Mekhonoshina, Mariia A.
PB - American Institute of Physics
T2 - International Scientific Conference on Mechanics - Eighth Polyakhov's Reading
Y2 - 29 January 2018 through 2 February 2018
ER -
ID: 35363090