Matrix or Vector | Geometry | Shape Functions | Integration Points |
---|---|---|---|

Stiffness, Mass, and Stress Stiffness Matrices; and Thermal Load Vector | Quad | Equation 11–168, Equation 11–169, and Equation 11–170 | 2 x 2 |

Triangle | Equation 11–157, Equation 11–158, and Equation 11–159 | 3 | |

Pressure Load Vector | Same as stiffness matrix, specialized to the face | 2 |

Load Type | Distribution |
---|---|

Element Temperature | Same as shape functions across element, harmonic around circumference |

Nodal Temperature | Same as element temperature distribution |

Pressure | Linear along each face, harmonic around circumference |

Reference: Zienkiewicz([39])

Structures describes the derivation of structural element matrices and load vectors as well as stress evaluations. PLANE25 - Axisymmetric-Harmonic 4-Node Structural Solid has a discussion of temperature applicable to this element.

A dropped midside node implies that the edge is and remains straight.

The material properties are assumed to be constant around the entire
circumference, regardless of temperature-dependent material properties or
loading. For
(input as MODE on **MODE**
command) > 0, extreme values for combined stresses are obtained by computing
these stresses at every 10/
degrees and
selecting the extreme values.