AXISYMMETRIC stress and strain

BY

Ahmed Shakir

I-Introduction :-

Many three-dimensional field problems in engineering exhibit symmetry aboutan axis of rotation. Such problems, known as axisymmetric problems, can besolved using two-dimensional finite elements, which are most conveniently described in cylindrical (r, Φ, z) coordinates.

Axisymmetric elements are triangular tori such that eachelement 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.