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AXISYMMETRIC stress and strain
BY
Ahmed Shakir
I-Introduction :-
Many three-dimensional field problems in engineering exhibit symmetry about
an axis of rotation. Such problems, known as axisymmetric problems, can be
solved using two-dimensional finite elements, which are most conveniently described in cylindrical (r, Φ, z)
coordinates.
Axisymmetric elements are triangular tori such that each
element is symmetric with respect to geometry and loading about an axis such as the z axis.
II-DERIVATION OF THE STIFFNESS MATRIX:-
• References :-
• 1-Fundemental of finite element by Hutton.
• 2-programmint the finite element ,smith & griffiths
• 3-http://www.ce.memphis.edu.

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Finite element - axisymmetric stress and strain

  • 1. AXISYMMETRIC stress and strain BY Ahmed Shakir
  • 2. I-Introduction :- Many three-dimensional field problems in engineering exhibit symmetry about an axis of rotation. Such problems, known as axisymmetric problems, can be solved using two-dimensional finite elements, which are most conveniently described in cylindrical (r, Φ, z) coordinates.
  • 3.
  • 4. Axisymmetric elements are triangular tori such that each element is symmetric with respect to geometry and loading about an axis such as the z axis.
  • 5. II-DERIVATION OF THE STIFFNESS MATRIX:-
  • 6.
  • 7.
  • 8.
  • 9.
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  • 33.
  • 34.
  • 35.
  • 36.
  • 37.
  • 38.
  • 39.
  • 40.
  • 41. • References :- • 1-Fundemental of finite element by Hutton. • 2-programmint the finite element ,smith & griffiths • 3-http://www.ce.memphis.edu.