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EMA 405

EMA 405. Quadrilateral Elements. Introduction. Quadrilateral elements are 4-sided, planar elements They can address plane stress, plane strain, or axisymmetric analyses Plane stress -  z =0 (for thin structures) Plane strain -  z =0 (for thick structures)

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EMA 405

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  1. EMA 405 Quadrilateral Elements

  2. Introduction • Quadrilateral elements are 4-sided, planar elements • They can address plane stress, plane strain, or axisymmetric analyses • Plane stress - z=0 (for thin structures) • Plane strain - z=0 (for thick structures) • Axisymmetric will be addressed in the next chapter • 2-D triangular elements are related and can be thought of as quad elements where two nodes are coincident

  3. Element Types in ANSYS • Constant Strain Triangle • Option for Plane42 in ANSYS 3 2 1

  4. What if triangles have midside nodes (linear strain triangle)? 3 4 5 Plane2 element in ANSYS 2 6 1

  5. Bilinear quadrilateral element? 4 3 1 2 Option in Plane42 element in ANSYS

  6. Bilinear Quadrilateral (cont.) • This element does not permit curvature in bending this not this

  7. Quadratic quadrilateral element? 4 8 3 5 Plane82 element in ANSYS 7 6 1 2

  8. Improved bilinear quadrilateral element • This is the default behavior of Plane42 in ANSYS • It adds curvature terms to the assumed displacements to permit curvature in bending

  9. Von Mises Stress • Also known as equivalent stress • A common model for the onset of yielding in multiaxial stress states

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