TY - JOUR
T1 - Hybrid-Trefftz finite elements for biphasic elastostatics
AU - Moldovan, I. D.
AU - Cao, T. D.
AU - Freitas, J. A. Teixeira de
N1 - Funding Information:
This work has been partially supported by “Fundação para a Ciência e a Tecnologia” through grant PTDC/ECM/70781/2006 .
Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2013
Y1 - 2013
N2 - This paper reports on the formulation and implementation of the displacement and stress models of the hybrid-Trefftz finite elements for elastostatic problems defined on saturated porous media. The supporting mathematical model is the (u-w) formulation of the Biot theory of porous media. The hybrid-Trefftz models are derived from the corresponding (pure) hybrid models by selecting the domain trial functions from the free-field solutions of the governing Navier equation. The resulting elements are highly robust and convergent, as they embody the physical characteristics of the modelled problem. Moreover, all coefficients present in the solving system are defined by boundary integral expressions.
AB - This paper reports on the formulation and implementation of the displacement and stress models of the hybrid-Trefftz finite elements for elastostatic problems defined on saturated porous media. The supporting mathematical model is the (u-w) formulation of the Biot theory of porous media. The hybrid-Trefftz models are derived from the corresponding (pure) hybrid models by selecting the domain trial functions from the free-field solutions of the governing Navier equation. The resulting elements are highly robust and convergent, as they embody the physical characteristics of the modelled problem. Moreover, all coefficients present in the solving system are defined by boundary integral expressions.
KW - Biphasic medium
KW - Elastostatic problems
KW - Hybrid finite elements
KW - Hybrid-Trefftz finite elements
UR - http://www.scopus.com/inward/record.url?scp=84872174126&partnerID=8YFLogxK
U2 - 10.1016/j.finel.2012.10.010
DO - 10.1016/j.finel.2012.10.010
M3 - Article
AN - SCOPUS:84872174126
SN - 0168-874X
VL - 66
SP - 68
EP - 82
JO - Finite Elements in Analysis and Design
JF - Finite Elements in Analysis and Design
ER -