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E. Rohan¹ and J. Heczko²

¹Department of Mechanics, NTIS, Faculty of Applied Sciences, University of West Bohemia, Pilsen, Czech Republic
²NTIS - New Technologies for the Information Society, Faculty of Applied Sciences, University of West Bohemia, Pilsen, Czech Republic

doi:10.4203/ccc.9.10.7

E. Rohan, J. Heczko, "Homogenization Based Computational Two-Scale Modelling of Self-Contact in Collapsible Fluid Saturated Micropores", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 9, Paper 10.7, 2024, doi:10.4203/ccc.9.10.7

Keywords: unilateral contact, fluid-saturated porous media, multiscale modeling, homogenization, semi-smooth Newton method, two-scale finite element method.

Abstract

Modelling the unilateral contact due to collapsible pores in porous media presents a challenging nonlinear problem which requires convenient approximations allowing for a tractable numerical solutions. We have derived its two-scale formulation obtained by the homogenization of the fluid-structure interaction at the pore level. We focus on periodic structures with pores distributed as fluid-filled inclusions with narrow parts (fissures) in which the matching contact surfaces are specified. It is demonstrated how the fluid increases the structure stiffness. Two variational formulations of the macroscopic problem are considered, the first one is a nonlinear elastic problem coupled with the local contact problems introduced using a variational inequality, the second one is formulated as a two-scale contact problem with a two-scale contact constraint. To reduce the computational effort, we propose an approximation of the local contact problem solutions using master microproblems solved for selected macroscopic deformations. For this, the sensitivity analysis framework analogical to the one used in the shape optimization is employed.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 9 PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 10.7 Homogenization Based Computational Two-Scale Modelling of Self-Contact in Collapsible Fluid Saturated Micropores E. Rohan¹ and J. Heczko² ¹Department of Mechanics, NTIS, Faculty of Applied Sciences, University of West Bohemia, Pilsen, Czech Republic ²NTIS - New Technologies for the Information Society, Faculty of Applied Sciences, University of West Bohemia, Pilsen, Czech Republic doi:10.4203/ccc.9.10.7 Full Bibliographic Reference for this paper E. Rohan, J. Heczko, "Homogenization Based Computational Two-Scale Modelling of Self-Contact in Collapsible Fluid Saturated Micropores", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 9, Paper 10.7, 2024, doi:10.4203/ccc.9.10.7 Keywords: unilateral contact, fluid-saturated porous media, multiscale modeling, homogenization, semi-smooth Newton method, two-scale finite element method. Abstract Modelling the unilateral contact due to collapsible pores in porous media presents a challenging nonlinear problem which requires convenient approximations allowing for a tractable numerical solutions. We have derived its two-scale formulation obtained by the homogenization of the fluid-structure interaction at the pore level. We focus on periodic structures with pores distributed as fluid-filled inclusions with narrow parts (fissures) in which the matching contact surfaces are specified. It is demonstrated how the fluid increases the structure stiffness. Two variational formulations of the macroscopic problem are considered, the first one is a nonlinear elastic problem coupled with the local contact problems introduced using a variational inequality, the second one is formulated as a two-scale contact problem with a two-scale contact constraint. To reduce the computational effort, we propose an approximation of the local contact problem solutions using master microproblems solved for selected macroscopic deformations. For this, the sensitivity analysis framework analogical to the one used in the shape optimization is employed. download the full-text of this paper (PDF, 3124 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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