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Optimization on Elastoplasticity of Functionally Graded Shells of Revolution, under Axisymmetric Loading
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Advisor(s)
Abstract(s)
Depending on the load level, structures can experience a material nonlinearity known as
elastoplasticity, which has an important role in the behaviour of structures. In order to avoid the
elastoplastic behaviour, it is necessary to find the optimal thickness distribution, which corresponds
to the minimum mass that provides an elastic behaviour for a certain load level. The elastoplasticity
analysis of functionally graded axisymmetric shells under axisymmetric mechanical loading, and the
subsequent optimization, was performed by using a simple conical frustum finite element model with
two nodal circles; three degrees of freedom per node, which was based on Kirchhoff’s theory allowing
for shear deformation; and using a reduced numerical integration procedure that is essential for its
success when applied to thin shells. The formulation accounts for the calculation of the displacements
and through-thickness stress distribution, including the effective stress. In this work, the thickness
was the design variable in the optimization procedure and the mass was the objective function that
needed to be minimized subject to a constraint imposed on the effective stress. The optimization
solutions were obtained by using a feasible arc interior point gradient-based algorithm. Some
illustrative examples were performed, and the corresponding results are presented and discussed.
Description
Keywords
functionally graded material finite element method optimization
Pedagogical Context
Citation
Simões Moita, J., Araújo, A. L., Franco Correia, V., Soares, C. M., & Herskovits, J. (2023). Optimization on Elastoplasticity of Functionally Graded Shells of Revolution under Axisymmetric Loading. Applied Sciences, 13(9), 5325
Publisher
MDPI