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A hierarchical hyperelastic-based approach for multi-scale analysis of defective nano-materials

Jahanshahi, M ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1016/j.mechmat.2019.103206
  3. Publisher: Elsevier B.V , 2020
  4. Abstract:
  5. In this paper, a continuum–atomistic multi-scale method is presented in modeling the nonlinear behavior of nano-materials under large deformation. In order to identify an appropriate strain energy function for crystalline nano-structures with different percentages of spherical voids, the hyperelastic method is employed for specimen whose behavior is determined based on the molecular dynamics analyses. In the atomistic level, the EAM many-body potential is employed to model the interactions between the atoms of Al RVEs. The atomistic strain energy density curves and surfaces are generated by applying the uniaxial, biaxial and simple shear deformations to the boundaries of RVEs. The material parameters of hyperelastic model are computed by fitting the proposed functions to atomistic reference data obtained from the molecular statics simulations. Explicit relations for the stress and elasticity tensors are provided for the proposed hyperelastic models. The robustness and accuracy of the proposed technique is presented in modeling of mechanical behavior of Al material. Finally, several numerical examples are performed to illustrate the applicability of the proposed multi-scale technique. © 2019
  6. Keywords:
  7. Heterogeneous material ; Hyper elasticity ; Multi-scale method ; Representative volume element ; Deformation ; Molecular dynamics ; Nanostructures ; Numerical methods ; Strain energy ; Heterogeneous materials ; Hyper-elasticity ; Many-body potentials ; Multiscale method ; Representative volume element (RVE) ; Strain energy density ; Strain energy functions ; Elasticity ; Multi scale method
  8. Source: Mechanics of Materials ; Volume 140 , January , 2020
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0167663619305344