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Investigation of Nonlinear Behavior of Hyperelastic Continuum Model Based on Atomistic Simulation

Ahmadi, Hossein | 2015

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  1. Type of Document: M.Sc. Thesis
  2. Language: English
  3. Document No: 48403 (53)
  4. University: Sharif University of Technology, International Campus, Kish Island
  5. Department: Science and Engineering
  6. Advisor(s): Khoei, Amir Reza
  7. Abstract:
  8. In this study, a novel multiscale analysis is proposed to utilize atomistic properties of crystalline nano-materials as an input to continuum problems in the range of large deformation. The main purpose of presented work is investigating the capability of different hyperelasticity models based on molecular statics (MS) and molecular dynamics methods to attain proper hyperelastic strain energy density function to illustrate atomistic information under various types of deformation loadings. Also, the proficiency of hyperelastic model is investigated for nano-structure including different percentages of voids. The material parameters of hyperelastic strain energy density can be obtained from fitting the hyperelastic functions to curves and surfaces of strain energy density to depict atomistic information in continuum analysis. The curves of atomic strain energy density are calculated from quantities of total energy density of single crystal Al metal with respect to strain points for uniaxial, eq-biaxial, and pure shear deformations while the surfaces of atomic strain energy density are computed from biaxial deformation. In atomistic simulation, the zero temperature condition is implemented and the embedded-atom method (EAM) many-body interatomic potential is utilized for description of the energetic of the Al crystal. The numerical simulation of proposed method with the direct comparison between fully atomistic models and hyperelastic models illustrates that the technique provides promising results. Finally, the proposed model has been utilized into finite element framework, in which the material parameters of hyperelastic strain energy density functions illustrate the characteristics of Al atoms
  9. Keywords:
  10. Finite Element Method ; Molecular Dynamic Simulation ; Hyperelasticity ; Face Centered Cubic (FCC)Alloy ; Molecular Statics (MS)Simulation ; Void Defect

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    • كلمات كليدي :
    • مدل هایپرالاستیک، روش اجزای محدود، استاتیک ملکولی، دینامیک ملکولی، کریستال های FCC، نقص حفره ای