Calculation of the plate plane stress in polar coordinate system on the basis of Lamé equation general solution
Journal Title: Вісник Тернопільського національного технічного університету - Year 2018, Vol 91, Issue 3
Abstract
The mathematical model describing plane stress-strain state of plane elastic bodies in polar coordinate system is offered. To describe its three-dimensional stress state, three harmonic functions expressing the general solution of Lamé equations in cylindrical coordinate system are used. After stresses integration on the thickness of the plate normal and tangential efforts are expressed through two two-dimensional harmonic and biharmonic functions. The closed equation system in partial derivatives is developed on the introduction of two-dimensional functions without using hypotheses about the geometric nature of plate deformation. Threedimensional boundary conditions are reduced to two-dimensional form. The example of stress-strain state of disk is given.
Authors and Affiliations
Victor Revenko
Keywords
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- EP ID EP438065
- DOI 10.33108/visnyk_tntu2018.03.056
- Views 61
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