Toupin, R. A.: Theories of elasticity with couple-stress. Arch. Rational Mech. Anal. 17 , 85–112 (1964).Toupin R A. Theories of elasticity with couple2stress. Archs Ration Mech Analysis , 1964 , 17 (2) : 85～11
Pearson: A History of the Theory of Elasticity and of the Strength of Materials from Galilei to Lord Kelvin, 1 [This is mainly the work of Pearson, as indicated in the enumeration of sections.] Cambridge: Cambridge Univ. Press. Reprinted, Dover Publications, New York, 1960. 1886 Google ...
In this paper, vibration analysis of FG nanoplate based on nonlocal elasticity and higher order plate theories for various boundary conditions is presented. The FG nanoplate is assumed to be graded through thickness direction, following the power law material distribution. The Governing equations and ...
the Reddy's higher order theory [35], [36], [37]. The Reddy's third order shear deformation theory requires the shear stresses at the bounding planes of the plate are zero values, whereas the residual shear stress must exist on the plate surface according to the surface elasticity [38]....
In this paper we discuss that the couple – stress theories can be considered as a long wave – length approximation of a more general non local theory of elasticity closely connected with the theory of crystal lattice. Theories of media with microstructure are considerably more complicated than ...
Akgöz, B., Civalek, Ö.: Buckling analysis of cantilever carbon nanotubes using the strain gradient elasticity and modified couple stress theories. J. Comput. Theor. Nanosci. (in press) (2011)Akgoz, B, Civalek, O., Buckling analysis of cantilever carbon nanotubes using the strain ...
Akgöz, B., Civalek, Ö.: Buckling analysis of cantilever carbon nanotubes using the strain gradient elasticity and modified couple stress theories. J. Comput. Theor. Nanosci. (in press) (2011)Akgoz, B, Civalek, O., Buckling analysis of cantilever carbon nanotubes using the strain ...
modified couple stress theory (MCST)rotating nanobeamthermal effectsvibrational behaviorvisco-elastic foundationThis study develops a comprehensive vibrational analysis of rotating nanobeams on visco-elastic foundations with thermal effects based on the modified couple stress and Eringen's nonlocal elasticity ...
In this contribution, the variational problem governing the elasticity of higher order beam formulation and the finite element implementation based upon, are briefly introduced. To this end, well known Euler‐Bernoulli beam formulation assumptions are used. The size effect for gold‐micro beams is ...
In this paper, polysilicon nano-beam is modeled using modified couple stress and Eringen's nonlocal elasticity theories. First, partial differential equations governing the vibration of nano-beams are converted to a one D.O.F. differential equations using Galerkin method, resulting in the lumped ...