Transport in Porous Media

, Volume 100, Issue 1, pp 143–157 | Cite as

Mechanical Stresses Induced by Evaporation in Consolidated Colloidal Suspensions of Hard Particles. Poroelasticity Theory Versus Experiments



Drying of colloidal suspensions often yields intriguing, complex and generally undesirable crack patterns. Despite a consensus on the main underlying physical mechanisms that lead to their formation, quantitative prediction seems at present out of reach. Notably, a prerequisite for this is the determination of the mechanical stress field. Here, our point of view is to provide a sound and well-established continuum mechanics model that can be used safely and easily by a large community and particularly by the fracture mechanics one. We show by comparison with beam deflection experiments, that (i) the use of Biot’s linear poroelasticity theory allows for the prediction of the stresses that lead to the crack formation and that (ii) the setup allows for the identification of some poroelastic constants. This evidenced that the hypothesis of incompressible constituents is reasonable for the nanolatex suspensions considered here, greatly simplifying the constitutive equations and reducing the number of material constants from four to two.


Drying of colloidal dispersion Shrinkage crack patterns Poroelasticity 



The work was partially supported by the ANR Program JC-JC ANR-05-JCJC-0029 Morphologies. It is issued from Chekchaki (2011) Ph.D. thesis. We thank L. Dormieux, G. Gauthier, E. Herbert, J. P. Hulin, D. Kondo, D. Or for fruitful discussions. We thank E. Bourgeat-Lami and Rhodia Recherche (Aubervilliers, France) to have provide us some colloidal suspensions. Last and not least, we thank L. Pauchard to provide us indentation and beam deflection setups.


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Fatigue and Fracture Mechanics Laboratory, Department of Mechanical EngineeringPontifical Catholic University of Rio de JaneiroRio de JaneiroBrazil
  2. 2.UPMC Univ Paris 6, UMR 7608, FASTOrsayFrance
  3. 3.Univ Paris-Sud, UMR 7608, FASTOrsayFrance
  4. 4.CNRS, UMR 7608, FASTOrsayFrance

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