A fully coupled multi–field model for the dynamic simulation of anisotropic porous materials is here presented. Starting from the mixture theory and the definition of the effective stress for anisotropic poro-elasticity, the multi-field formulation of the dynamic partial differential equations was developed. Numerical solution of the initial-boundary value coupled problem in space was obtained by using the well-known Finite Element Method (FEM) with inf-sup stable discretizations, while the standard θ-Method was adopted in time. The multi-field discrete problem is addressed in a fully-implicit way. The Bi-Conjugate Gradient Stabilized (Bi-CGStab) algorithm was used to solve the time-sequence of large sparse non-symmetric linear systems, with the convergence accelerated by an ad-hoc Multi-Physics Reduction (MPR) preconditioning technique. Such enhancements have been implemented in the three-dimensional finite element research code, GeoMatFEM, and a series of dynamic analyses has been performed, in order to test the potential and computational efficiency of the developed numerical tool.

A COUPLED MULTI–FIELD DYNAMIC MODEL FOR ANISOTROPIC POROUS MATERIALS

N. De Marchi
;
M. Ferronato;G. Xotta;V. A. Salomoni
2022

Abstract

A fully coupled multi–field model for the dynamic simulation of anisotropic porous materials is here presented. Starting from the mixture theory and the definition of the effective stress for anisotropic poro-elasticity, the multi-field formulation of the dynamic partial differential equations was developed. Numerical solution of the initial-boundary value coupled problem in space was obtained by using the well-known Finite Element Method (FEM) with inf-sup stable discretizations, while the standard θ-Method was adopted in time. The multi-field discrete problem is addressed in a fully-implicit way. The Bi-Conjugate Gradient Stabilized (Bi-CGStab) algorithm was used to solve the time-sequence of large sparse non-symmetric linear systems, with the convergence accelerated by an ad-hoc Multi-Physics Reduction (MPR) preconditioning technique. Such enhancements have been implemented in the three-dimensional finite element research code, GeoMatFEM, and a series of dynamic analyses has been performed, in order to test the potential and computational efficiency of the developed numerical tool.
2022
Current Perspectives and New Directions in Mechanics, Modelling and Design of Structural Systems. Proceedings of The Eighth International Conference on Structural Engineering, Mechanics and Computation, 5-7 September 2022, Cape Town, South Africa
9781003348443
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3457174
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact