### Abstract

A Newton–Raphson solution scheme with a stress point algorithm is presented for the implementation of an elastic–viscoplastic soilmodel in a finite element program. Viscoplastic strain rates are calculated using the stress and volumetric states of the soil. Sub-incrementsof time are defined for each iterative calculation of elastic–viscoplastic stress changes so that their sum adds up to the time incrementfor the load step. This carefully defined ‘iterative time’ ensures that the correct amount of viscoplastic straining is accumulated overthe applied load step. The algorithms and assumptions required to implement the solution scheme are provided. Verification of the solutionscheme is achieved by using it to analyze typical boundary value problems.

Original language | English |
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Pages (from-to) | 524-536 |

Number of pages | 13 |

Journal | Computers and Geotechnics |

Volume | 35 |

Issue number | 4 |

DOIs | |

Publication status | Published - Jul 2008 |

### Keywords

- Elastic–viscoplastic
- Finite element
- Newton–Raphson
- Substepping algorithm
- Error control

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## Cite this

Kelln, C., Sharma, J., & Hughes, D. (2008). A finite element solution scheme for an elastic–viscoplastic soil model.

*Computers and Geotechnics*,*35*(4), 524-536. https://doi.org/10.1016/j.compgeo.2007.10.003