Stress-Strain State Analysis of Thick Plates Under Multidirectional External Loads Using Variable Differential Method
Abstract
The paper presents the stress-strain analysis of thick circular plates used in the design and construction of solid monolithic foundations, pressure vessels, press-tools and others. The methodology of calculation of quasi-static stress-strain state is suggested in this paper for a circular plate under the axial external loading. The applied variable differential method is the implementation of Lagrange principle using the finite-difference method. Geometric relations are taken in the form of Cauchy equations, and physical relations are accepted to be nonlinear and described by Ilyushin deformation theory of plasticity.
Keywords
теория упругости и пластичности,
толстая плита,
перемещения,
деформации,
напряжения,
вариационный принцип Лагранжа,
дискретизация,
решение системы линейных алгебраических уравнений,
theory of elasticity and plasticity,
thick plate,
displacement,
strain,
stress,
Lagrange principle,
quantification,
linear algebraic equations
About the Author
Vladimir N. Barashkov
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
References
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Review
For citations:
Barashkov V.N. Stress-Strain State Analysis of Thick Plates Under Multidirectional External Loads Using Variable Differential Method. Vestnik of Tomsk state university of architecture and building. 2016;(4):67-80. (In Russ.)
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