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How are nodes and elements used when modeling deformation of a solid?

In finite element modeling, the continuous solid domain is broken down into smaller pieces called elements. Deformation is then computed at selected points called nodes, which are located at the boundaries or specific locations within these elements.

Conditions

  • Used for discretizing a continuous solid or domain into finite pieces.
  • Deformation values are associated with selected nodal points.

Reasoning, step by step

  1. Discretize the entire solid object into a mesh of finite elements.
  2. Identify the nodes, which are the connection points between elements.
  3. Compute the deformation or displacement values at these specific nodal points.
  4. Use element shape functions to interpolate the deformation within each element.

Example

The speaker says deformation is computed at selected points called nodes. Three mesh examples are shown with quadrilateral, mesh-flow, and triangular element types.

Common misconceptions

  • Assuming deformation is computed continuously everywhere in the solid without discretization.
  • Confusing nodes with the elements themselves; nodes are points, elements are the regions.

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