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Numerical Modelling of Contact Problems with Application to Porous Media
Author(s) -
Yang F.,
Ehlers W.,
Markert B.,
Ammann M.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310372
Subject(s) - isotropy , porous medium , materials science , porosity , mechanics , contact angle , poromechanics , composite material , physics , optics
Contact problems are highly non‐linear because of the non‐penetration inequality in the contact interface. To solve such problems, different constraint methods are used to transform the inequality into an equality problem [4]. Concerning the contact of two isotropic fluid‐saturated porous solids which consist of an immiscible mixture of a solid skeleton and a fluid pore content [3], the non‐penetration constraint can be applied to the mixture approach by accounting additionally for the pore‐fluid interchange between the contacting porous solids. Except for the contact between the solid skeletons of two solids, it is important to determine the interaction forces exerted by the pore‐fluid on the pore‐fluid and the porous skeleton. In this contribution, it is assumed that at the permeable contact boundaries, the fluid effective pressure and the fluid mass flux across the surface are continuous [1].