On an approach to numerical solution of stress-strain state problems for nonthin plates and shells
Source abstract
Abstract
Numerical solution of elastic equilibrium problems for nonthin plates and shells of constant and variable thickness is based on using a curvilinear-mesh method in combination with the Vekua method — reduction of three-dimensional elastic equations to a recurrent sequence of boundary problems in a two-dimensional region. Coefficients of the first and second quadratic forms for a conditional mediane surface are calculated by means of a metric of boundary faces without any derivatives with respect to their local bases. Specific examples of numerical solution of the test problems for a thick plate bending case, for which the exact and approximate solutions can be also found by other methods, have proven the proposed numerical approach to be efficient (in terms of a rapid convergence and accuracy). A numerical solution has been obtained for a problem of bending for a nonthin plate of constant and variable thickness made of an orthotropic material and for a shell with a circular recess under axial compression.
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Research context
OpenAlex topics: Material Science and Thermodynamics · Heat Transfer and Mathematical Modeling · Structural mechanics and materials
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References (13)
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