1. Dr. A. S. Sayyad
Professor & Head
Department of Structural Engineering
Sanjivani College of Engineering, Kopargaon 423603.
(An Autonomous Institute, Affiliated to Savitribai Phule Pune University, Pune)
Finite Element Method In Civil Engineering
2D and 3D Pascalโs Triangle
Geometric Isotropy
or
Geometric Invariance
2. Geometric Isotropy or Geometric Invariance.
Besides the convergence and compatibility requirement, one of
the important considerations in choosing proper terms in the
polynomial expansion is that the element should have no
preferred direction.
That is displacement shapes will not change with change in local
coordinate system.
This property is known as Geometric Isotropy or Geometric
Invariance.
3. 2D Pascalโs triangle
Geometric Invariance can be achieved by selecting the
corresponding order of terms on either side of triangle.
