Mathematical modeling of physically nonlinear 3D beams and plates made of multimodulus materials View Full Text


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Article Info

DATE

2021-06-26

AUTHORS

A. V. Krysko, J. Awrejcewicz, K. S. Bodyagina, M. V. Zhigalov, V. A. Krysko

ABSTRACT

In this work, mathematical models of physically nonlinear plates and beams made from multimodulus materials are constructed. Our considerations are based on the 3D deformation theory of plasticity, the von Mises plasticity criterion and the method of variable parameters of the theory of elasticity developed by Birger. The proposed theory and computational algorithm enable for solving problems of three types of boundary conditions, edge conditions and arbitrary lateral load distribution. The problem is solved by the finite element method (FEM), and its convergence and the reliability of the results are investigated. Based on numerical experiments, the influence of multimodulus characteristics of the material of the beam and the plate on their stress–strain states under the action of transverse loads is illustrated and discussed. More... »

PAGES

3441-3469

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00707-021-03010-8

DOI

http://dx.doi.org/10.1007/s00707-021-03010-8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1139176430


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