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Meshless Solution of the Problem on the Static Behavior of Thin and Thick Laminated Composite Beams

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Mechanics of Composite Materials Aims and scope

For the first time, the static behavior of laminated composite beams is analyzed using the meshless collocation method based on a thin-plate-spline radial basis function. In the approximation of a partial differential equation by using a radial basis function, the shape parameter has an important role in ensuring the numerical accuracy. The choice of a shape parameter in the thin plate spline radial basis function is easier than in other radial basis functions. The governing differential equations are derived based on Reddy’s third-order shear deformation theory. Numerical results are obtained for symmetric cross-ply laminated composite beams with simple-simple and cantilever boundary conditions under a uniform load. The results found are compared with available published ones and demonstrate the accuracy of the present method.

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Authors and Affiliations

  1. Liaoning Key Laboratory of General Aviation, Shenyang Aerospace University, No. 37 Daoyi South Avenue, Shenyang, Liaoning, 110136, People’s Republic of China

    S. Xiang & G. W. Kang

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  1. S. Xiang
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  2. G. W. Kang
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Correspondence to S. Xiang.

Additional information

Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 54, No. 1, pp. 129-140 , January-February, 2017.

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Xiang, S., Kang, G.W. Meshless Solution of the Problem on the Static Behavior of Thin and Thick Laminated Composite Beams. Mech Compos Mater 54, 89–98 (2018). https://doi.org/10.1007/s11029-018-9721-0

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  • DOI: https://doi.org/10.1007/s11029-018-9721-0

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