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Finite element method

Finite element method. Linear strain triangular Tieme Willems. introduction. Plane stress situation Normal stress and shear stress directed perpendicular to the plane (assumed to be 0) Loads act only in x-y plane In this presentation: Investigate amount of elements/ nodes

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Finite element method

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  1. Finite element method Linear strain triangular Tieme Willems

  2. introduction • Plane stress situation • Normal stress and shear stress directed perpendicular to the plane (assumed to be 0) • Loads act only in x-y plane • In this presentation: • Investigate amount of elements/ nodes • Investigate aspect ration

  3. Chapter 1, Aspect ratio • Changing the aspect ratio, by increasing the amount of elements. • 4 elements • 8 elements • 10 elements • 20 elements

  4. 1.2 conclusion • Exact = PL = 10000*20 EA 10*(30*10^6)

  5. Chapter 2, elements • Increase the amount of elements, but maintain the aspect ratio • Aspect ratio 1 • 4 elements • 16 elements • 64 elements • Aspect ratio 2 • 2 elements • 8elements

  6. Chapter 2, number of elements • Increase the amount of elements, but maintain the aspect ratio • More elements gives in this case at first a more accurate solution, but with 64 nodes a less accurate solution due to the distribution of force on the nodes

  7. Chapter 2, conclusion • Increasing the amount of elements results into a more exact solution; • If can distribute the forces appropriate over more notes, the result becomes more accurate; • If can keep the aspect ratio close to 1 the result comes closest to the exact result; • Amount of elements is situation related (meaning we should run the program with different aspect ratio to see which result comes closest to the exact)

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