Vibrations and buckling of orthotropic small‐scale plates with complex shape based on modified couple stress theory

DOI10.1002/ZAMM.202000009OpenAlexW3044296092MaRDI QIDQ6149417

Lidiya Kurpa, Olga Mazur, Jan Awrejcewicz

Publication date: 5 March 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.202000009

zbMATH Keywords

Ritz methodmodified couple stress theory\(R\)-functions theorymicro/nanoplatesmall-scale analysis

Mathematics Subject Classification ID

Thin bodies, structures (74Kxx) Dynamical problems in solid mechanics (74Hxx) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

Cites Work

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• A non-classical third-order shear deformation plate model based on a modified couple stress theory
• Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory
• A non-classical Mindlin plate model based on a modified couple stress theory
• Size-dependent vibration of a microplate under the action of a moving load based on the modified couple stress theory
• A new Kirchhoff plate model based on a modified couple stress theory
• Elastic materials with couple-stresses
• Experiments and theory in strain gradient elasticity.
• Geometrically nonlinear micro-plate formulation based on the modified couple stress theory
• Elastic buckling and vibration analyses of orthotropic nanoplates using nonlocal continuum mechanics and spline finite strip method
• Couple stress based strain gradient theory for elasticity
• Mathematical modeling of vibration problem of nano-sized annular sector plates using the nonlocal continuum theory via eight-node discrete singular convolution transformation
• Size-dependent nonlinear forced vibration and dynamic stability of electrically actuated micro-plates
• Size effect on the static, dynamic and buckling analysis of orthotropic Kirchhoff-type skew micro-plates based on a modified couple stress theory: comparison with the nonlocal elasticity theory
• A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory
• Effects of couple-stresses in linear elasticity
• Using the modified strain gradient theory to investigate the size-dependent biaxial buckling analysis of an orthotropic multi-microplate system
• Higher order couple stress theory of plates and shells
• A size‐dependent Bernoulli‐Euler beam model based on strain gradient elasticity theory incorporating surface effects

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