Velocity-based formulations for standard and quasi-incompressible hypoelastic-plastic solids
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Cita com:
hdl:2117/99543
Tipus de documentArticle
Data publicació2016-09
EditorJohn Wiley & Sons
Condicions d'accésAccés obert
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Abstract
We present three velocity-based updated Lagrangian formulations for standard and quasi-incompressible hypoelastic-plastic solids. Three low-order finite elements are derived and tested for non-linear solid mechanics problems. The so-called V-element is based on a standard velocity approach, while a mixed velocity–pressure formulation is used for the VP and the VPS elements. The two-field problem is solved via a two-step Gauss–Seidel partitioned iterative scheme. First, the momentum equations are solved in terms of velocity increments, as for the V-element. Then, the constitutive relation for the pressure is solved using the updated velocities obtained at the previous step. For the VPS-element, the formulation is stabilized using the finite calculus method in order to solve problems involving quasi-incompressible materials. All the solid elements are validated by solving two-dimensional and three-dimensional benchmark problems in statics as in dynamics.
Descripció
This is the accepted version of the following article: [Franci, A., Oñate, E., and Carbonell, J. M. (2016) Velocity-based formulations for standard and quasi-incompressible hypoelastic-plastic solids. Int. J. Numer. Meth. Engng, 107: 970–990. doi: 10.1002/nme.5205], which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/nme.5205/abstract
CitacióFranci, A., Oñate, E., Carbonell, J.M. Velocity-based formulations for standard and quasi-incompressible hypoelastic-plastic solids. "International journal for numerical methods in engineering", Setembre 2016, vol. 107, núm. 11, p. 970-990.
ISSN0029-5981
Versió de l'editorhttp://onlinelibrary.wiley.com/doi/10.1002/nme.5205/abstract
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Fitxers | Descripció | Mida | Format | Visualitza |
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IJNME10.1002nme.5205_Franci_et_Al.pdf | Main article | 3,953Mb | Visualitza/Obre |