A nonlinear modified couple stress-based third-order theory of functionally graded plates

By J. Reddy, Jinseok Kim. 2012

323 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8d0beffb9b1bdb66ad8fab83e77cd3ed1348842c

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In Civil and Structural Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Geometrically nonlinear isogeometric analysis of functionally graded microplates with the modified couple stress theory (2017, background): “Reddy and his colleagues have successfully developed finite element models to analyse the behaviours of microplates with and without nonlinearity [28, 38, 39].”
Size-dependent vibration of a microplate under the action of a moving load based on the modified couple stress theory (2015, methodology): “In addition to the above studies, the modified couple stress theory is also used to study the behavior of microbeams and microplates made of composite materials [37–49].”
A micro-scale modeling of Kirchhoff plate based on modified strain-gradient elasticity theory (2013, methodology): “Several references can be referred applying the plane stressestrain relations to analysis of classical plate in the category of the higher-order elasticity theories (Tsiatas, 2009; Reddy and Kim, 2012; Ramezani, 2012).”
Analytical solutions for bending, vibration, and buckling of FGM plates using a couple stress-based third-order theory (2013, methodology): “Reddy and Kim [22] derived the equation of motion of the GTPT in terms of the generalized forces.”
A general third-order theory of functionally graded plates with modified couple stress effect and the von Kármán nonlinearity: theory and finite element analysis (2015, background): “A general third-order shear deformation plate theory (GTPT) of functionally graded materials (FGMs) with a power-law distribution and modified couple stress theory [41] was proposed by Reddy and Kim [34].”
A size-dependent four variable refined plate model for functionally graded microplates based on modified couple stress theory (2015, background): “Present TSDT [33] Present”
A SIZE-DEPENDENT FUNCTIONALLY GRADED SINUSOIDAL PLATE MODEL BASED ON A MODIFIED COUPLE STRESS THEORY (2013, methodology): “external forces is [21]       1 2 3”