A variational r-adaption and shape-optimization method for finite-deformation elasticity

@inproceedings{Thoutireddy2004AVR,
  title={A variational r-adaption and shape-optimization method for finite-deformation elasticity},
  author={Pururav Thoutireddy and Michael Ortiz},
  year={2004}
}
This paper is concerned with the formulation of a variational r-adaption method for finite-deformation elastostatic problems. The distinguishing characteristic of the method is that the variational principle simultaneously supplies the solution, the optimal mesh and, in problems of shape optimization, the equilibrium shapes of the system. This is accomplished by minimizing the energy functional with respect to the nodal field values as well as with respect to the triangulation of the domain of… CONTINUE READING

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