Kryven V. The Development of Discrete-Line and Continual Plastic Zones in the Neighbourhood of Stress Concentrators

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0402U002805

Applicant for

Specialization

  • 01.02.04 - Механіка деформівного твердого тіла

16-09-2002

Specialized Academic Board

Д 35.195.01

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine

Essay

Plastic zone development in neighborhood of stress concentrators is investigated by methods of complex variable function theory . The single model for investigation of discrete-line plastic zone formed by any amount of plastic sliding lines as well as continual one occupying certain space area under antiplane deformation is worked out. It is proved that in the limited case with infinity large amount of lines discrete- line plastic zone transform into continual one. The new effective method of solution of antiplane elastic-plastic problems is received. The development of plastic zones for new types and shapes of stress concentrators is investigated. The conditions for localization of plastic deformations in separate planes are studied. Application area: machine-building, building, mining.

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