Homogenization and numerical modelling of poroelastic materials with self-contact in the microstructure

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F20%3A43958663" target="_blank" >RIV/49777513:23520/20:43958663 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S0045794919300264" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0045794919300264</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.compstruc.2019.06.003" target="_blank" >10.1016/j.compstruc.2019.06.003</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Homogenization and numerical modelling of poroelastic materials with self-contact in the microstructure

Popis výsledku v původním jazyce

We present a two-scale homogenization-based computational model of porous elastic materials subject to external loads inducing the self-contact interaction at the pore level. Microstructures under consideration are constituted as periodic lattices generated by a representative cell consisting of a solid skeleton and a pore. On its surface, the unilateral frictionless contact appears when the porous material is deformed. We focus on microstructures with rigid inclusions whereby the contact process involves opposing surfaces on the rigid and the compliant skeleton parts. A macroscopic model is derived using the periodic unfolding homogenization and the method of oscillating test functions. An efficient algorithm for the two-scale computational analysis is proposed for the numerical model obtained using the finite element discretization of the homogenized model. For this, a sequential linearization of the two-scale elasticity problem leads to the consistent effective elasticity tensor yielding consistent stiffness matrices of the macroscopic incremental formulation. The micro-level contact problem attains the form of a nonsmooth equation solved using the semi-smooth Newton method without any regularization, or problem relaxation. Numerical examples of two-dimensional deforming structures are presented as a proof of the concept. The proposed modelling approach can be extended to treat self-contact in structures subject to finite deformation.

Název v anglickém jazyce

Homogenization and numerical modelling of poroelastic materials with self-contact in the microstructure

Popis výsledku anglicky

We present a two-scale homogenization-based computational model of porous elastic materials subject to external loads inducing the self-contact interaction at the pore level. Microstructures under consideration are constituted as periodic lattices generated by a representative cell consisting of a solid skeleton and a pore. On its surface, the unilateral frictionless contact appears when the porous material is deformed. We focus on microstructures with rigid inclusions whereby the contact process involves opposing surfaces on the rigid and the compliant skeleton parts. A macroscopic model is derived using the periodic unfolding homogenization and the method of oscillating test functions. An efficient algorithm for the two-scale computational analysis is proposed for the numerical model obtained using the finite element discretization of the homogenized model. For this, a sequential linearization of the two-scale elasticity problem leads to the consistent effective elasticity tensor yielding consistent stiffness matrices of the macroscopic incremental formulation. The micro-level contact problem attains the form of a nonsmooth equation solved using the semi-smooth Newton method without any regularization, or problem relaxation. Numerical examples of two-dimensional deforming structures are presented as a proof of the concept. The proposed modelling approach can be extended to treat self-contact in structures subject to finite deformation.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

COMPUTERS &amp; STRUCTURES

ISSN

0045-7949

e-ISSN

—

Svazek periodika

230

Číslo periodika v rámci svazku

1 April 2020

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

18

Strana od-do

—

Kód UT WoS článku

000518666100006

EID výsledku v databázi Scopus

2-s2.0-85078156223