# 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…

## 2 Citations

### A novel four-field mixed variational approach to Kirchhoff rods implemented with finite element exterior calculus

- MathematicsArXiv
- 2022

A four-field mixed variational principle is proposed for large deformation analysis of Kirchhoff rods with the lowest order C mixed FE approximations. The core idea behind the approach is to…

### A mixed method for 3D nonlinear elasticity using finite element exterior calculus

- EngineeringInternational Journal for Numerical Methods in Engineering
- 2022

A mixed finite element technique for 3D nonlinear elasticity using a Hu-Washizu (HW) type variational principle, which requires no artificial stabilising terms, and is applied to a few benchmark problems wherein conventional displacement based approximations encounter locking and checker boarding.

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