On the possibilities of computational modelling of interaction of a structure with subsoil

Jedlička, Michal; Němec, Ivan; Vala, Jiří

  • Programs and Algorithms of Numerical Mathematics, page 73-83

Abstract

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The following possibilities of reduction of dimension in the computational analysis of strain and stresses transferred to the subsoil massive are available: i) coming from the effective subsoil model by Kolář & Němec (1989), based on the assumptions of the Pasternak's model (1954), where the pair of material parameters of a surface model is evaluated from the energy equivalence, ii) reducing a large sparse matrix of soil massive stiffness to a smaller one, using Schur's complement technique. In both cases i), ii) the steady-state analysis is decisive: inclusion of more complicated combination of loads can be performed without repeated computations.

How to cite

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Jedlička, Michal, Němec, Ivan, and Vala, Jiří. "On the possibilities of computational modelling of interaction of a structure with subsoil." Programs and Algorithms of Numerical Mathematics. 2025. 73-83. <http://eudml.org/doc/299958>.

@inProceedings{Jedlička2025,
abstract = {The following possibilities of reduction of dimension in the computational analysis of strain and stresses transferred to the subsoil massive are available: i) coming from the effective subsoil model by Kolář & Němec (1989), based on the assumptions of the Pasternak's model (1954), where the pair of material parameters of a surface model is evaluated from the energy equivalence, ii) reducing a large sparse matrix of soil massive stiffness to a smaller one, using Schur's complement technique. In both cases i), ii) the steady-state analysis is decisive: inclusion of more complicated combination of loads can be performed without repeated computations.},
author = {Jedlička, Michal, Němec, Ivan, Vala, Jiří},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {structure-soil interaction; computational modelling; finite element method},
pages = {73-83},
title = {On the possibilities of computational modelling of interaction of a structure with subsoil},
url = {http://eudml.org/doc/299958},
year = {2025},
}

TY - CLSWK
AU - Jedlička, Michal
AU - Němec, Ivan
AU - Vala, Jiří
TI - On the possibilities of computational modelling of interaction of a structure with subsoil
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2025
SP - 73
EP - 83
AB - The following possibilities of reduction of dimension in the computational analysis of strain and stresses transferred to the subsoil massive are available: i) coming from the effective subsoil model by Kolář & Němec (1989), based on the assumptions of the Pasternak's model (1954), where the pair of material parameters of a surface model is evaluated from the energy equivalence, ii) reducing a large sparse matrix of soil massive stiffness to a smaller one, using Schur's complement technique. In both cases i), ii) the steady-state analysis is decisive: inclusion of more complicated combination of loads can be performed without repeated computations.
KW - structure-soil interaction; computational modelling; finite element method
UR - http://eudml.org/doc/299958
ER -

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