• Corpus ID: 221397235

A geometric approach to Hu-Washizu variational principle in nonlinear elasticity

@article{Dhas2020AGA,
  title={A geometric approach to Hu-Washizu variational principle in nonlinear elasticity},
  author={Bensingh Dhas and Debasish Roy},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
We discuss the Hu-Washizu (HW) variational principle from a geometric standpoint. The mainstay of the present approach is to treat quantities defined on the co-tangent bundles of reference and deformed configurations as primal. Such a treatment invites compatibility equations so that the base space (configurations of the solid body) could be realised as a subset of an Euclidean space. Cartan's method of moving frames and the associated structure equations establish this compatibility. Moreover… 

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