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<doi>10.3850/S2010428611000031</doi>
<article-title>Nonlinear Thermal Bending for Shear Deformable Nanobeams Based on Nonlocal Elasticity Theory</article-title>
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<author>Q. Yang, C. W. Lim<sup>a</sup> and Y. Xiang </author>
<author-citation>Yang, Q.; Lim, C. W.; Xiang, Y.</author-citation>

<aff><sup>1</sup>Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong. </aff>

<email><a href="mailto:bccwlim@cityu.edu.hk   "><sup>a</sup>bccwlim@cityu.edu.hk   </a></email>

<aff><sup>2</sup>School of Engineering, University of Western Sydney, Locked Bag 1979, Penrith South DC, New South Wales, Australia </aff>



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<title>ABSTRACT</title>
<p>Nonlinear bending of shear deformable nanobeams subject 
to a temperature field is investigated in this paper based on von 
K&#225;rm&#225;n type nonlinearity and nonlocal elasticity theory. By using 
the variational principle approach, new higher-order governing differential 
equations and the corresponding higher-order boundary conditions both in the 
transverse and axial directions are derived and discussed. Several examples 
are presented to highlight the effects of nonlocal nanoscale, temperature 
and shear deformation on the transverse deflection of nanobeam. The exact 
analytical solutions for transverse deflection are derived and the solutions 
confirm that the nonlocal nanoscale tends to significantly decrease nanobeam 
transverse deflection while shear deformation increases the transverse 
deflection of nanobeam. It is also concluded that the stiffness of shear 
deformable nanobeams could be reinforced at low and room temperature, while 
at high temperature the stiffness will be reduced.  </p><p><italic>Keywords: </italic>Nonlocal elasticity, Thermal-elasticity, Shear deformable nanobeam, Variation principle, Thermal effects.   </p>
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