Three basic steps for Integrating Finite Element Method

Category : Uncategorized
October 13, 2017 by admin

The basic steps or procedure we shall follow are common to all such analyses like Structural, Thermal, Fluid etc. These steps are main methods to be followed and in different software packages included, it may defer in the order but are MUST. The basic procedure chart for F.E.M is given in figure.

Pre-Processing

Pre requisites for Finite Element Analyses are as below

  1. Define Geometric Domain
  2. Define material properties (Mechanical/Thermal/Orthotropic/Anisotropic)
  3. Geometrical Properties (Based on Curvature of physical domain’s material property)
  4. Element connectivity (Based on topology + curvature changes per unit area)
  5. Define Element Types (Meshing)
  6. Apply Boundary conditions (Based on real/near to real ambient conditions)
  7. Exact location of support (Support on points, edges, area and/or imprinted area)
  8. Loading (Based on point of contact and total loading)
  9. Ambient temperature & Gravity

Pre-processing is very crucial and critical step because solution is of absolutely no value if it corresponds to wrong problem.

a

Solver

During the solution phase F.E.M software solver assembles equations in matrix form or any other form depending on Finite Element technique. After that the solver composites the unknown value of the primary field variables. In short the material’s physical properties under the boundary conditions are being referred and reflected as a result, in terms of computed additional derived variable such as stress, temperature, velocity, etc.

For thousands of equations special solution techniques are used to reduce the data storage requirements and computation time. A wave front solver based on “Gauss Elimination” is commonly used for linear problems.

Post-Processing

Post-processor software contains sophisticated routines used for sorting, implanting & displaying selected results from a finite element solution.

The basic operations are

  • Nodal reaction sensing
  • Analyzing equilibrium
  • Calculating Factor of Safety
  • Plotting Deformation
  • Animating transient Behaviors
  • Displaying color-coded contours

As we have many post processing results options, we have to apply sound-engineering assumptions in determining whether the solution results are physically reasonable. The first thing we need to notice is the animation of the deforming body it must be behaving according to boundary conditions.

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