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<article-meta><doi>039</doi>
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<article-title>Meshless Natural Element Method for Nonlinear Analysis of Composite Plates</article-title>
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<author>Madhukar Somireddy<sup>a</sup> and Amirtham Rajagopal<sup>b</sup>  </author>

<aff>Department of Civil Engineering, Indian Institute of Technology Hyderabad, India. </aff>

<email><a href="mailto:madhukarreddy.s@gmail.com"><sup>a</sup>madhukarreddy.s@gmail.com</a></email>

<email><a href="mailto:rajagopal@iith.ac.in "><sup>b</sup>rajagopal@iith.ac.in </a></email>

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<title>ABSTRACT</title>
<p>In the present work, the geometrical nonlinear analysis of laminated composite plates is done using natural element method. The C<sup>1</sup> natural neighbor interpolation function is implemented for geometric nonlinear analysis. The first order shear deformation plate theory is adopted for plate analysis. The geometric nonlinearity is based on the von K&#225;rm&#225;n's assumptions. The nonlinear static analysis is carried out with step loading and Newton-Raphson iterative method. The formulation developed here is validated with available analytical and finite element results. The effect of plate aspect ratio on deflection has been studied.  </p>
<p><i>Keywords: </i>Geometrical nonlinear, Meshless method, Natural neighbors, Laminated composite plates. </p>
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