Abstract
This chapter presents naturally stabilized nodal integration (NSNI) meshfree formulations for thermo-mechanical analysis of functionally graded material (FGM) plates. The effective material properties of FGM plates are homogenized by a rule of mixture. Gradient strains from the present approach are directly computed at nodes, the same as the direct nodal integration (DNI). The current approach is to alleviate the instability of solutions in the DNI and to significantly decrease computational cost when compared to the high-order Gauss quadrature scheme. The enforcement of essential boundary conditions is completely similar to the finite element method (FEM) due to satisfying the Kronecker delta function property of moving Kriging integration shape functions. Numerical validations are given to show the efficiency of the present approach.
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Acknowledgements
This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 107.02-2016.19.
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Thai, C.H., Tran, D.T., Nguyen-Xuan, H. (2018). A Naturally Stabilized Nodal Integration Meshfree Formulation for Thermo-Mechanical Analysis of Functionally Graded Material Plates. In: Nguyen-Xuan, H., Phung-Van, P., Rabczuk, T. (eds) Proceedings of the International Conference on Advances in Computational Mechanics 2017. ACOME 2017. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-7149-2_42
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DOI: https://doi.org/10.1007/978-981-10-7149-2_42
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