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From molecular systems to continuum solids: A multiscale structure and dynamics.

Qi Tong1, Shaofan Li1

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We developed a new multiscale molecular dynamics method to apply macroscale mechanical conditions to solid materials. This approach enables the study of complex material behaviors under realistic stress and displacement scenarios.

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Area of Science:

  • Materials Science
  • Computational Physics
  • Chemistry

Background:

  • Traditional molecular dynamics (MD) struggles to apply macroscale mechanical boundary conditions like traction and average displacement to solid-state materials.
  • Existing MD methods typically apply boundary conditions via forces and displacements on selected particles, limiting their applicability to certain scenarios.

Purpose of the Study:

  • To propose a concurrent multiscale molecular dynamics (MD) method for simulating molecular systems under macroscale mechanical boundary conditions.
  • To extend the Anderson-Parrinello-Rahman MD framework to handle arbitrary finite domains and boundaries, enabling the study of inhomogeneous, non-equilibrium problems.
  • To generalize macroscale stress loading beyond periodic boundary conditions to various mechanical boundary conditions for solid-state materials.

Main Methods:

  • Systematic construction of a multiscale model incorporating kinematics, force fields, and dynamical equations.
  • Extension of the Anderson-Parrinello-Rahman MD method to accommodate arbitrary domains and boundaries.
  • Generalization of macroscale stress loading on representative volume elements to diverse mechanical boundary conditions.

Main Results:

  • Demonstration of a novel multiscale MD approach capable of applying macroscale mechanical boundary conditions such as traction and average displacement.
  • Validation of the model's ability to solve inhomogeneous, non-equilibrium problems in solid-state materials.
  • Presentation of examples involving prescribed average displacements and surface tractions to confirm the method's validity.

Conclusions:

  • The proposed concurrent multiscale molecular dynamics method effectively applies macroscale mechanical boundary conditions to molecular systems.
  • This approach overcomes limitations of traditional MD, enabling the investigation of fundamental physics in non-equilibrium and inhomogeneous material behaviors.
  • The method is validated through examples of prescribed average displacements and surface tractions, highlighting its potential for advanced materials research.