Title:	Homogenization and numerical algorithms for two-scale modeling of porous media with self-contact in micropores
Authors:	Rohan, Eduard Heczko, Jan
Citation:	ROHAN, E. HECZKO, J. Homogenization and numerical algorithms for two-scale modeling of porous media with self-contact in micropores. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, roč. 432, č. NOV 2023, s. 1-19. ISSN: 0377-0427
Issue Date:	2023
Publisher:	Elsevier
Document type:	článek article
URI:	2-s2.0-85159168460 http://hdl.handle.net/11025/53047
ISSN:	0377-0427
Keywords in different language:	dual formulation;homogenization;porous media;two-scale iterative algorithm;unilateral contact;variational inequality
Abstract in different language:	The paper presents two-scale numerical algorithms for stress–strain analysis of porous media featured by self-contact at pore level. The porosity is constituted as a periodic lattice generated by a representative cell consisting of elastic skeleton and a void pore. Unilateral frictionless contact is considered between opposing surfaces of the pore. For the homogenized model derived in our previous work, we justify incremental formulations and propose several variants of two-scale algorithms which commute iteratively solving of the micro- and the macro-level contact subproblems. A dual formulation which takes advantage of the assumed microstructure periodicity and a small deformation framework, is derived for the contact problems at the micro-level. This enables to apply the semi-smooth Newton method. For the global, macrolevel step two alternatives are tested; one relying on a frozen contact identified at the microlevel, the other based on a reduced contact associated with boundaries of contact sets. Numerical examples of 2D deforming structures are presented as a proof of the concept.
Rights:	Plný text je přístupný v rámci univerzity přihlášeným uživatelům © Elsevier B.V.
Appears in Collections:	Články / Articles (NTIS) Články / Articles (KME) OBD

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