Abstract
For planar deformations of continuum, which mechanical behavior is described by mathematical models, where physical relations have the form of cross dependence derivatives between the first invariant of the tensor and the second invariant of the voltage and stress deviator, the development of resolving equations in displacements in cylindrical coordinates is being analyzed. Two models are analyzed as examples: deformation theory of loose medium plasticity and deformation theory of concrete plasticity. The resolving equations system is a system of two quasilinear differential equations of second order at quotient derivatives from two independent variables - the displacement of continuum points at radial and tangential directions. Iteration methods are suggested for its integration. It is recommended to take the discussed question solution for physical linear continuum as initial solution approximation. Received equations can be used at evaluation of stress-strain state of physically nonlinear massive bodies with complex geometry.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Structural Mechanics of Engineering Constructions and Buildings
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
