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Volume 10, Issue 3
Hybrid Stress Finite Volume Method for Linear Elasticity Problems

Y. Wu, X. Xie & L. Chen

Int. J. Numer. Anal. Mod., 10 (2013), pp. 634-656.

Published online: 2013-10

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  • Abstract

A hybrid stress finite volume method is proposed for linear elasticity equations. In this new method, a finite volume formulation is used for the equilibrium equation, and a hybrid stress quadrilateral finite element discretization, with continuous piecewise isoparametric bilinear displacement interpolation and two types of stress approximation modes, is used for the constitutive equation. The method is shown to be free from Poisson-locking and of first order convergence. Numerical experiments confirm the theoretical results.

  • Keywords

finite volume method, hybrid stress method, quadrilateral element, Poisson-locking.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-10-634, author = {Y. Wu, X. Xie and L. Chen}, title = {Hybrid Stress Finite Volume Method for Linear Elasticity Problems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2013}, volume = {10}, number = {3}, pages = {634--656}, abstract = {

A hybrid stress finite volume method is proposed for linear elasticity equations. In this new method, a finite volume formulation is used for the equilibrium equation, and a hybrid stress quadrilateral finite element discretization, with continuous piecewise isoparametric bilinear displacement interpolation and two types of stress approximation modes, is used for the constitutive equation. The method is shown to be free from Poisson-locking and of first order convergence. Numerical experiments confirm the theoretical results.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/587.html} }
TY - JOUR T1 - Hybrid Stress Finite Volume Method for Linear Elasticity Problems AU - Y. Wu, X. Xie & L. Chen JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 634 EP - 656 PY - 2013 DA - 2013/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/587.html KW - finite volume method, hybrid stress method, quadrilateral element, Poisson-locking. AB -

A hybrid stress finite volume method is proposed for linear elasticity equations. In this new method, a finite volume formulation is used for the equilibrium equation, and a hybrid stress quadrilateral finite element discretization, with continuous piecewise isoparametric bilinear displacement interpolation and two types of stress approximation modes, is used for the constitutive equation. The method is shown to be free from Poisson-locking and of first order convergence. Numerical experiments confirm the theoretical results.

Y. Wu, X. Xie and L. Chen. (2013). Hybrid Stress Finite Volume Method for Linear Elasticity Problems. International Journal of Numerical Analysis and Modeling. 10 (3). 634-656. doi:
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