A geometric structure-preserving discretization scheme for incompressible linearized elasticity

@inproceedings{Angoshtari2013AGS,
  title={A geometric structure-preserving discretization scheme for incompressible linearized elasticity},
  author={Arzhang Angoshtari and Arash Yavari},
  year={2013}
}
Abstract In this paper, we present a geometric discretization scheme for incompressible linearized elasticity. We use ideas from discrete exterior calculus (DEC) to write the action for a discretized elastic body modeled by a simplicial complex. After characterizing the configuration manifold of volume-preserving discrete deformations, we use Hamilton’s principle on this configuration manifold. The discrete Euler–Lagrange equations are obtained without using Lagrange multipliers. The main… CONTINUE READING

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