期刊
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
卷 95, 期 2, 页码 215-234出版社
WILEY-V C H VERLAG GMBH
DOI: 10.1002/zamm.201300071
关键词
Poromechanics; micromechanics; osmotic pressure; fiber; drained stress-strain behavior; creep
资金
- United States USPHS Research Grant NIH/NIDCR [DE014392]
- NIH/NIDCR [DE022054]
- United States National Science Foundation [CMMI-1068528]
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1068528] Funding Source: National Science Foundation
We have developed a micromechanics based model for chemically active saturated fibrous media that incorporates fiber network microstructure, chemical potential driven fluid flow, and micro-poromechanics. The stress-strain relationship of the dry fibrous media is first obtained by considering the fiber behavior. The constitutive relationships applicable to saturated media are then derived in the poromechanics framework using Hill's volume averaging. The advantage of this approach is that the resultant continuum model accounts for the discrete nature of the individual fibers while retaining a form suitable for porous materials. As a result, the model is able to predict the influence of micro-scale phenomena, such as the fiber pre-strain caused by osmotic effects and evolution of fiber network structure with loading, on the overall behavior and in particular, on the poromechanics parameters. Additionally, the model can describe fluid-flow related rate-dependent behavior under confined and unconfined conditions and varying chemical environments. The significance of the approach is demonstrated by simulating unconfined drained monotonic uniaxial compression under different surrounding fluid bath molarity, and fluid-flow related creep and relaxation at different loading-levels and different surrounding fluid bath molarity. The model predictions conform to the experimental observations for saturated soft fibrous materials. The method can potentially be extended to other porous materials such as bone, clays, foams and concrete. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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