We propose a framework, based on classical mixture theory, to describe the isothermal flow of an incompressible fluid through a deformable inelastic porous solid. The modeling of the behavior of the inelastic solid takes into account changes in the elastic response due to evolution in the microstructure of the material.We apply the model to a compression layer problem. The mathematical problem generated by the model is a free boundary problem.
Mathematical modeling of flows through inelastic porous solids / A. Farina;L. Fusi. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - ELETTRONICO. - 7:(2006), pp. 1048-1071. [10.1016/j.nonrwa.2005.09.008]
Mathematical modeling of flows through inelastic porous solids
FARINA, ANGIOLO;FUSI, LORENZO
2006
Abstract
We propose a framework, based on classical mixture theory, to describe the isothermal flow of an incompressible fluid through a deformable inelastic porous solid. The modeling of the behavior of the inelastic solid takes into account changes in the elastic response due to evolution in the microstructure of the material.We apply the model to a compression layer problem. The mathematical problem generated by the model is a free boundary problem.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.