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isogeometric nonlocal strain gradient quasi-three-dimensional plate model for thermal postbuckling of porous functionally graded microplates with central cutout with different shapes

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Applied Mathematics and Mechanics(English Edition) 2021年第6期42卷 771-786页

作者： Rui SONG S.SAHMANI B.SAFAEI Department of Civil and Architecture Engineering Nanchang Institute of TechnologyNanchang 330099China Mechanical Rotating Equipment Department Niroo Research Institute(NRI)Tehran 14665-517Iran Department of Mechanical Engineering Easten Mediterranean UnivensityFamagusta 99628North Cyprus via Mersin 10Turkey

This study presents the size-dependent nonlinear thermal postbuckling characteristics of a porous functionally graded material(PFGM) microplate with a central cutout with various shapes using isogeometric numerical technique incorporating nonuniform rational B-splines. To construct the proposed non-classical plate model, the nonlocal strain gradient continuum elasticity is adopted on the basis of a hybrid quasithree-dimensional(3D) plate theory under through-thickness deformation conditions by only four variables. By taking a refined power-law function into account in conjunction with the Touloukian scheme, the temperature-porosity-dependent material properties are extracted. With the aid of the assembled isogeometric-based finite element formulations,nonlocal strain gradient thermal postbuckling curves are acquired for various boundary conditions as well as geometrical and material parameters. It is portrayed that for both size dependency types, by going deeper in the thermal postbuckling domain, gaps among equilibrium curves associated with various small scale parameter values get lower, which indicates that the pronounce of size effects reduces by going deeper in the thermal postbuckling regime. Moreover, we observe that the central cutout effect on the temperature rise associated with the thermal postbuckling behavior in the presence of the effect of strain gradient size and absence of nonlocality is stronger compared with the case including nonlocality in absence of the strain gradient small scale effect.

关键词： porosity functionally graded(FG)composite isogeometric approach quasi-three-dimensional(3D)plate theory nonlocal strain gradient elasticity

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Nonlinear free vibrations of porous composite microplates incorporating various microstructural-dependent strain gradient tensors

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Applied Mathematics and Mechanics(English Edition) 2022年第6期43卷 825-844页

作者： Duquan ZUO B.SAFAEI S.SAHMANI Guoling MA Aviation Engineering College Civil Aviation Flight University of ChinaGuanghan 618307Sichuan ProvinceChina Chongqing Engineering Research Center for Advanced Intelligent Manufacturing Technology Chongqing Three Gorges UniversityChongqing 404100China Department of Mechanical Engineering Eastern Mediterranean UniversityFamagusta 99628North Cyprus via Mersin 10Turkey School of Science and Technology The University of GeorgiaTbilisi 0171Georgia

The main objective of the present numerical analysis is to predict the nonlinear frequency ratios associated with the nonlinear free vibration response of porous composite plates at microscale in the presence of different microstructural gradient *** achieve this end,by taking cubic-type elements into account,isogeometric models of porous composite microplates are obtained with and without a central cutout and relevant to various porosity patterns of distribution along the plate *** established unconventional models have the capability to capture the effects of various unconventional gradient tensors continuity on the basis of a refined shear deformable plate *** the simply supported microsized uniform porous functionally graded material(UPFGM)plate having the oscillation amplitude equal to the plate thickness,it is revealed that the rotation gradient tensor causes to reduce the frequency ratio about 0.73%,the dilatation gradient tensor causes to reduce it about 1.93%,and the deviatoric stretch gradient tensor leads to a decrease of it about 5.19%.On the other hand,for the clamped microsized U-PFGM plate having the oscillation amplitude equal to the plate thickness,these percentages are equal to 0.62%,1.64%,and 4.40%,***,it is found that by changing the boundary conditions from clamped to simply supported,the effect of microsize on the reduction of frequency ratio decreases a bit.

关键词： size dependency isogeometric approach nonlinear dynamics geometric approximation micromechanics

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