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

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Abstract
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 manybody 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.
Keywords
Instrumentation, General Materials Science, Mechanics of Materials, Multi-scale method, Hyperelasticity, Heterogeneous material, Molecular dynamics, Representative volume element, MOLECULAR STATICS SIMULATIONS, CAUCHY-BORN HYPOTHESIS, CONSTITUTIVE-EQUATIONS, ATOMISTIC SIMULATION, DYNAMICS, VALIDITY, MODELS, GROWTH, COPPER

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MLA
Jahanshahi, M., et al. “A Hierarchical Hyperelastic-Based Approach for Multi-Scale Analysis of Defective Nano-Materials.” MECHANICS OF MATERIALS, vol. 140, 2019, doi:10.1016/j.mechmat.2019.103206.
APA
Jahanshahi, M., Ahmadi, H., & Khoei, A. R. (2019). A hierarchical hyperelastic-based approach for multi-scale analysis of defective nano-materials. MECHANICS OF MATERIALS, 140. https://doi.org/10.1016/j.mechmat.2019.103206
Chicago author-date
Jahanshahi, M., Hossein Ahmadi, and A.R. Khoei. 2019. “A Hierarchical Hyperelastic-Based Approach for Multi-Scale Analysis of Defective Nano-Materials.” MECHANICS OF MATERIALS 140. https://doi.org/10.1016/j.mechmat.2019.103206.
Chicago author-date (all authors)
Jahanshahi, M., Hossein Ahmadi, and A.R. Khoei. 2019. “A Hierarchical Hyperelastic-Based Approach for Multi-Scale Analysis of Defective Nano-Materials.” MECHANICS OF MATERIALS 140. doi:10.1016/j.mechmat.2019.103206.
Vancouver
1.
Jahanshahi M, Ahmadi H, Khoei AR. A hierarchical hyperelastic-based approach for multi-scale analysis of defective nano-materials. MECHANICS OF MATERIALS. 2019;140.
IEEE
[1]
M. Jahanshahi, H. Ahmadi, and A. R. Khoei, “A hierarchical hyperelastic-based approach for multi-scale analysis of defective nano-materials,” MECHANICS OF MATERIALS, vol. 140, 2019.
@article{8659128,
  abstract     = {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 manybody 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.},
  articleno    = {103206},
  author       = {Jahanshahi, M. and Ahmadi, Hossein and Khoei, A.R.},
  issn         = {0167-6636},
  journal      = {MECHANICS OF MATERIALS},
  keywords     = {Instrumentation,General Materials Science,Mechanics of Materials,Multi-scale method,Hyperelasticity,Heterogeneous material,Molecular dynamics,Representative volume element,MOLECULAR STATICS SIMULATIONS,CAUCHY-BORN HYPOTHESIS,CONSTITUTIVE-EQUATIONS,ATOMISTIC SIMULATION,DYNAMICS,VALIDITY,MODELS,GROWTH,COPPER},
  language     = {eng},
  pages        = {23},
  title        = {A hierarchical hyperelastic-based approach for multi-scale analysis of defective nano-materials},
  url          = {http://dx.doi.org/10.1016/j.mechmat.2019.103206},
  volume       = {140},
  year         = {2019},
}

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