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R.H.W. ten Thije et. al. (2007)

Large deformation simulation of anisotropic material using an updated Lagrangian finite element method. R.H.W. ten Thije et. al. (2007). Presentation: Med Mahmoud , April 2012. Continuum Formulation. PDE: Equilibrium Equation. Linear Constitutive Model. Continuum Formulation.

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R.H.W. ten Thije et. al. (2007)

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  1. Large deformation simulation of anisotropic material using an updated Lagrangian finite element method R.H.W. ten Thije et. al. (2007) Presentation: Med Mahmoud, April 2012

  2. Continuum Formulation PDE: Equilibrium Equation Linear Constitutive Model

  3. Continuum Formulation PDE: Equilibrium Equation Linear Constitutive Model Rate Formulation Locally Linear Constitutive Model

  4. Spurious Shear!

  5. Linear Strain Measure

  6. Linear Strain Measure Fully Non-Linear Strain Measure

  7. Linear Strain Measure Fully Non-Linear Strain Measure

  8. Geometrically Nonlinear Formulation PDE: Equilibrium Equation “Invariant Stress” Constitutive Model

  9. Geometrically Nonlinear Formulation PDE: Equilibrium Equation “Invariant Stress” Constitutive Model

  10. Geometrically Nonlinear Formulation PDE: Equilibrium Equation “Invariant Stress” Constitutive Model ELIMINATES SPURIOUS SHEAR EFFECTS!

  11. Application 1: Bias Extension

  12. Application 1: Bias Extension

  13. Application 1: Bias Extension

  14. Application 1: Bias Extension CONVERGENCE SUCCESSFUL!

  15. Application 2: McKibben Actuator

  16. Application 2: McKibben Actuator

  17. Application 2: McKibben Actuator

  18. Application 2: McKibben Actuator

  19. Application 2: McKibben Actuator EXPERIMENTAL AGREEMENT!

  20. Extensions Remove F from stiffness Hyperelastic fibers Anisotropic “invariant-based” constitutive model

  21. Questions?

  22. Questions?

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