Quantification of various reduced order modelling computational methods to study deflection of size-dependent plates

DOI10.1016/J.CAMWA.2023.01.004OpenAlexW4320168157MaRDI QIDQ2684169

Yanyan Li

Publication date: 16 February 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.01.004

zbMATH Keywords

modified couple stress theorypartial differential equations (PDEs)nanoplatesordinary differential equations (ODEs)von Kármán nonlinearityiterative procedures

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Cites Work

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• On the contact interaction between two rectangular plates
• Elastic materials with couple-stresses
• Experiments and theory in strain gradient elasticity.
• On the dynamics of imperfect shear deformable microplates
• Contact interaction of two rectangular plates made from different materials with an account of physical nonlinearity
• A micro-scale modeling of Kirchhoff plate based on modified strain-gradient elasticity theory
• A new modified higher-order shear deformation theory for nonlinear analysis of macro- and nano-annular sector plates using the extended Kantorovich method in conjunction with SAPM
• Couple stress based strain gradient theory for elasticity
• Buckling and vibration analysis nanoplates with imperfections
• Size-dependent nonlinear forced vibration and dynamic stability of electrically actuated micro-plates
• On the size-dependent nonlinear thermo-electro-mechanical free vibration analysis of functionally graded flexoelectric nano-plate
• Effects of couple-stresses in linear elasticity
• Nonlinear Vibrations and Stability of Shells and Plates
• Thin Film Materials

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