Nonlocal buckling analysis of laminated composite plates considering surface stress effects

Shiva, K and Raghu, P and Rajagopal, Amirtham and Reddy, J N (2019) Nonlocal buckling analysis of laminated composite plates considering surface stress effects. Composite Structures, 226. p. 111216. ISSN 02638223

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Abstract

In this work nonlocal buckling analysis of laminated composite plates considering surface stress effects is presented. For computation of critical uniaxial and biaxial buckling loads, both approximate solutions and finite element solutions are presented. Approximate solutions based on Navier’s method for simply supported boundary conditions and based on Levy’s method for other type of boundary conditions are presented. The analysis of laminate is based on Reddy’s third order shear deformation theory (TSDT) (Reddy, 1984). Eringen’s non-local differential material model (Eringen, 1983) has been used in the present work. The surface stress effects are incorporated using the Gurtin Murdoch theory (Gurtin and Murdoch, 1975). Various types of laminates have been considered for the analysis. A parametric study is carried out, considering geometric and material properties to understand the effect of non-locality and surface stress on buckling loads. It is found that the inclusion of non-locality and surface effect has a significant effect on the critical buckling load and this varies with various aspect ratios and span to thickness ratios, and boundary conditions of the laminated plate. The results obtained are compared with those available in the literature for validation.

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