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Ratel 0.2.1 documentation
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Ratel 0.2.1 documentation

Contents

  • Getting Started
  • Example Applications
  • Using Ratel
  • API Documentation
    • Core Ratel Functions
    • Numerical Solvers
    • Material Models
    • Boundary Conditions
    • Internal Functions
  • Theory Guide
    • Continuum Mechanics
      • Material coordinates
      • Balance laws
    • Constitutive Modeling
      • Neo-Hookean Materials
      • Mooney-Rivlin Materials
    • Numerical Formulations
      • Hyperelasticity
      • Isochoric Hyperelasticity
      • Static and Quasistatic
      • Elastodynamics
      • Material Point Method
  • Contributing
  • Code of Conduct
  • Developer Notes
  • Release Notes
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Continuum Mechanics#

In continuum mechanics, we model materials as continuous pieces of matter and define quantities of interest, such as density, velocity, and force, on these pieces of matter. In this section, we cover notation and principals used in the mathematical modeling of materials and methods in Ratel.

Contents

  • Material coordinates
    • Lagrangian view
    • Eulerian view
    • Material derivative
  • Balance laws
    • Lagrangian view
    • Eulerian view
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Theory Guide
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