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Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE‐Setting
Author(s) -
Mahnken R.,
Steinmann P.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20000801341
Subject(s) - porous medium , sensitivity (control systems) , minification , least squares function approximation , stability (learning theory) , identification (biology) , mathematics , process (computing) , porosity , materials science , biological system , mathematical optimization , algorithm , computer science , statistics , engineering , composite material , botany , electronic engineering , estimator , machine learning , biology , operating system
In this contribution an FE‐algorithm for parameter identification of geometrically‐linear fluid‐saturated porous media is proposed, in which non‐uniform distributions of the state variables such as stresses, strains and excess pore fluid pressure gradient are taken into account. Thereby, a least‐squares functional consisting of experimental and simulated data is minimized, and where the simulated data are obtained with the FE‐method. In order to improve the efficiency of the minimization process, a gradient‐based optimization algorithm is applied, and therefore the corresponding sensitivity analysis is briefly explained. The performance of the strategy is demonstrated for a slope stability problem.