Elastoplastic Antiplane Strain in an Incompressible Body
V. D. Bondar'
Novosibirsk State University, Novosibirsk, 630090 Russia
Keywords: antiplane strain, boundary-value problem, type of the equation, load, Legendre transform, nonlinearity
Abstract
Antiplane strain in an incompressible cylindrical body is studied within the framework of a nonlinear model. The system of equations is reduced to a second-order nonlinear equation for the displacement. It is shown that the type of the equation is determined by the strain potential and can be mixed. An example of the strain in a hollow elliptic cylinder is considered, for which a displacement of the screw dislocation type is found and the corresponding stresses and load are studied.
|
