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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 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 • Investigate aspect ration
Chapter 1, Aspect ratio • Changing the aspect ratio, by increasing the amount of elements. • 4 elements • 8 elements • 10 elements • 20 elements
1.2 conclusion • Exact = PL = 10000*20 EA 10*(30*10^6)
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
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
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)