Computational and Multi-scale Mechanics Group

The Meshfree-enriched FEM (ME-FEM) [1] is a displacement-based formulation using simplex elements, which introduces an extra freedom for enriched and smoothed strains to achieve the discrete divergence-free properties in the nearly incompressible regime. This is done by adding an enriched meshfree node into the standard linear finite element using a first-order convex meshfree approximation and performing an area-weighted strain smoothing using a simple integration integration rule. ME-FEM is inf-sup stable.

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• Advantage

  • Passes the patch test

  • No volumetric locking issue in the incompressible limit

  • No spurious zero energy mode

  • No oscillation in the pressure field

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• Current implementation [ex]

  • 3D solid using special 5-noded element [2]

  • Explicit and implicit analysis

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• Keyword

  • *SECTION_SOLID (ELFORM=43)

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• Application​​​

  • Rubber-like material