A Locking-Free MHM Method for Elasticity

Weslley Pereira, Frédéric Valentin

Resumo


This work presents a multiscale hybrid-mixed finite element (MHM) method
for the two- and three-dimensional linear elasticity problem that deals with nearly incompressible and heterogeneous isotropic materials. The starting point is a dual-hybrid form of the elasticity model defined on a coarse mesh, which is equivalent to a set of element-wise elasticity problems brought together by a face-based global formulation. Importantly, the local problems are independent to one another and determine the basis functions. Thereby, the basis naturally incorporate multiscale features of the media. This new variant of the MHM method turns out to be robust in the incompressible limit case as a result of the use of a stabilized finite element method to approximate basis functions. Some preliminary theoretical results are addressed.


Palavras-chave


Elasticity, Incompressibility, Hybridization, Stabilized method, Multiscale.

Texto completo:

PDF


DOI: https://doi.org/10.5540/03.2017.005.01.0336

Apontamentos

  • Não há apontamentos.


SBMAC - Sociedade de Matemática Aplicada e Computacional
Edifício Medical Center - Rua Maestro João Seppe, nº. 900, 16º. andar - Sala 163 | São Carlos/SP - CEP: 13561-120
 


Normas para publicação | Contato