Design optimization of functionally graded plates under thermo-mechanical loadings to minimize stress, deformation and mass

Moleiro, F.; Madeira, J.F.A.; Carrera, Erasmo; Reddy, J. N.

doi:10.1016/j.compstruct.2020.112360

Cited by 35 publications

(12 citation statements)

References 41 publications

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“…In fact, these papers and the present one belong to the broad field of research on thermo-mechanics of heterogeneous/composite materials and structures. The thermo-mechanical couplings are constantly a subject of intensive scientific activity; see, for instance [34][35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Simulation of PLC Effect Using Regularized Large-Strain Elasto-Plasticity

2022

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The purpose of this paper is to develop a constitutive description and to numerically simulate a propagating instability phenomenon called the Portevin–Le Chatelier (PLC) effect, which is observed for metallic materials. It manifests itself by moving plastic shear bands in the sample and serrations in the stress–strain diagram. In this paper, the PLC is modeled by geometrically non-linear thermo-visco-plasticity with the hardening function of the Estrin–McCormick type to reproduce a serrated response. To regularize softening, which in this model comes from thermal, geometrical and strain-rate effects, the viscosity and heat conductivity are incorporated. Plasticity description can additionally include degradation of the yield strength, and then the model is enhanced by higher-order gradients. Simulations are performed using AceGen/FEM. Two tensioned specimens are tested: a rod and a dog-bone sample. The first specimen is used for general verification. The results obtained for the second specimen are compared with the experimental results. Studies for different values of model parameters are performed. The results of the simulations are in good agreement with the experimental outcome and the sensitivity to model parameters is in line with the expectations for the pre-peak regime. In the presented tests, the gradient enhancement does not significantly influence the results.

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Section: Introductionmentioning

confidence: 99%

Simulation of PLC Effect Using Regularized Large-Strain Elasto-Plasticity

2022

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“…Recently, Moleiro et al. 18 proposed a framework for multiobjective optimization of metal–ceramic FG plates under thermomechanical loadings. They considered the design variables of the plate to be the thickness of the FGM layer, the index of its power-law distribution of volume fractions, and if included, the thickness of the top ceramic face, thus fixing the remaining thickness of the bottom metal face.…”

Section: Introductionmentioning

confidence: 99%

Optimal three-dimensional design of functionally graded parts for additive manufacturing using Tamura–Tomota–Ozawa model

Nayak

Armani

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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Although some conventional manufacturing technologies are capable of producing functionally graded materials, only a few additive manufacturing processes are able to build functionally graded materials with complex distribution of material composition. To exploit this unique advantage, we have developed a new methodology capable of optimization of material distribution for three-dimensional parts for any given conditions. Representation of material distribution was done through a new technique by extending the nonuniform rational basis spline surfaces to four-dimensional space. Mori–Tanaka, Levin, and Tamura–Tomota–Ozawa models were employed for the estimation of effective material properties of functionally graded structures. Subroutines were developed in a commercial finite element software to enable the analysis of parts made from functionally graded material. A constrained particle swarm optimization method was selected and implemented to optimize the material composition distribution taking into account the additive manufacturing limitations. As a case study, the material distribution optimization of a functionally graded femur bone plate under thermomechanical loading was considered. The objective was to maximize the safety factor; i.e. the ratio of local yield strength of the functionally graded plate over the von Mises stress. The results showed significant improvement compared to nonoptimal part and demonstrated the efficacy of the proposed methodology.

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“…Functionally graded materials (FGMs) are new types of composites obtained by mixing ceramic and metallic constituents [1][2][3][4]. Material properties vary continuously through the beam-thickness in function of the mixing proportion.…”

Section: Introductionmentioning

confidence: 99%

A Refined Theory for Bending Vibratory Analysis of Thick Functionally Graded Beams

2021

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A refined beam theory that takes the thickness-stretching into account is presented in this study for the bending vibratory behavior analysis of thick functionally graded (FG) beams. In this theory, the number of unknowns is reduced to four instead of five in the other approaches. Transverse displacement is expressed through a hyperbolic function and subdivided into bending, shear, and thickness-stretching components. The number of unknowns is reduced, which involves a decrease in the number of the governing equation. The boundary conditions at the top and bottom FG beam faces are satisfied without any shear correction factor. According to a distribution law, effective characteristics of FG beam material change continuously in the thickness direction depending on the constituent’s volume proportion. Equations of motion are obtained from Hamilton’s principle and are solved by assuming the Navier’s solution type, for the case of a supported FG beam that is transversely loaded. The numerical results obtained are exposed and analyzed in detail to verify the validity of the current theory and prove the influence of the material composition, geometry, and shear deformation on the vibratory responses of FG beams, showing the impact of normal deformation on these responses which is neglected in most of the beam theories. The obtained results are compared with those predicted by other beam theories. It can be concluded that the present theory is not only accurate but also simple in predicting the bending and free vibration responses of FG beams.

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Design optimization of functionally graded plates under thermo-mechanical loadings to minimize stress, deformation and mass

Cited by 35 publications

References 41 publications

Simulation of PLC Effect Using Regularized Large-Strain Elasto-Plasticity

Simulation of PLC Effect Using Regularized Large-Strain Elasto-Plasticity

Optimal three-dimensional design of functionally graded parts for additive manufacturing using Tamura–Tomota–Ozawa model

A Refined Theory for Bending Vibratory Analysis of Thick Functionally Graded Beams

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