Direct numerical simulation of complex nano‐structured composites, considering interface stretching and bending effects, using nano‐computational grains,International Journal for Numerical Methods in Engineering

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Direct numerical simulation of complex nano‐structured composites, considering interface stretching and bending effects, using nano‐computational grains
International Journal for Numerical Methods in Engineering ( IF 2.7 ) Pub Date : 2020-12-25 , DOI: 10.1002/nme.6586
Junbo Wang _{1,

2} , Peng Yan ₁ , Leiting Dong ₁ , Satya N. Atluri ₃

Affiliation

Driven by the promising applications of nano-composites, the Steigmann-Ogden (S-O) interface stress model is used together with the classical Elasticity theory to model the effective mechanical properties of nano-composites [32], considering both interface stretching and bending effects. However, no literature has been reported on analytical or numerical solutions for composites containing multiple 3D nano-inclusions with S-O interfaces. In order to overcome this difficulty, a new type of computational grain (CG) is developed with an embedded spherical inclusion and S-O matrix/inclusion interface. The stiffness matrix of each CG is computed by a new boundary-type multi-field variational principle together with Papkovich-Neuber potentials. By evaluating and assembling stiffness matrices of CGs along with parallel computations, very efficient direct numerical simulations of complex nano-composites with a large number of inclusions in a Representative Volume Element (RVE) of the * Corresponding author: ltdong@buaa.edu.cn (L. Dong). Address (L.D.): School of Aeronautic Science and Engineering, Beihang University, Beijing, 100191, CHINA. nanocomposite are essentially realized. Numerical examples demonstrate the validity and the power of the currently developed CGs. Especially, material models with 10000 nano-inclusions are simulated in around 50 minutes on the 16-core workstation. The influence of interface elastic bending parameters and spatial distributions of the nano-inclusions on the overall properties of nano-composites is also investigated in this study.

更新日期：2020-12-25

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