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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 5, Pages 138–143 (Mi pmtf2546)  

Some inverse problems of deformation and fracture of physically nonlinear inhomogeneous media

I. Yu. Tsvelodub

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Abstract: The following two types of physically nonlinear inhomogeneous media are considered: linear-elastic plane with nonlinear-elastic elliptic inclusions and linear-viscous plane with elliptic inclusions from a material that possesses nonlinear-creep properties. The problem is to determine infinitely distant loads that produce a required value of the principal shear stress (in the first case) or principal shear-strain rate (in the second case) for two arbitrary inclusions. Conditions for the existence of solutions of these problems for incompressible media under plane strains are obtained.
Keywords: physically nonlinear elliptic inclusions, creep, damage, fracture.
Received: 18.12.2002
English version:
Journal of Applied Mechanics and Technical Physics, 2003, Volume 44, Issue 5, Pages 716–720
DOI: https://doi.org/10.1023/A:1025516722818
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: I. Yu. Tsvelodub, “Some inverse problems of deformation and fracture of physically nonlinear inhomogeneous media”, Prikl. Mekh. Tekh. Fiz., 44:5 (2003), 138–143; J. Appl. Mech. Tech. Phys., 44:5 (2003), 716–720
Citation in format AMSBIB
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\by I.~Yu.~Tsvelodub
\paper Some inverse problems of deformation and fracture of physically nonlinear inhomogeneous media
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 5
\pages 138--143
\mathnet{http://mi.mathnet.ru/pmtf2546}
\elib{https://elibrary.ru/item.asp?id=17274838}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 5
\pages 716--720
\crossref{https://doi.org/10.1023/A:1025516722818}
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