r3.01.01 Shape functions and finite element integration points

Summary:

The geometry and topology of the finite elements implanted in Code_Aster are described; for each reference element, the expression of shape functions and the different families of integration points as well as the associated weights are detailed.

• 1. Introduction
• 2. Line elements: SE2, SE3 and SE4
• 3. Surface elements
  • 3.1. Triangles: ELREFE TR3, TR6, TR7
  • 3.2. Quadrangles: ELREFE QU4, QU8, QU9
• 4. Volumic elements
  • 4.1. Tetrahedra: ELREFE TE4, T10
  • 4.2. Pentahedra: ELREFE PE6, P15, P15, P18, P21
  • 4.3. Hexahedra: ELREFE HE8, H20, H27
  • 4.4. Pyramids: ELREFE PY5, P13, P19
• 5. Bibliography