caa a22 4500 463232488 CHVBK 20180405153246.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10853-007-1859-4 doi (NATIONALLICENCE)springer-10.1007/s10853-007-1859-4 Micromechanics of crystal interfaces in polycrystalline solid phases of porous media: fundamentals and application to strength of hydroxyapatite biomaterials [Elektronische Daten] [Andreas Fritsch, Luc Dormieux, Christian Hellmich, Julien Sanahuja] Interfaces are often believed to play a role in the mechanical behavior of mineralized biological and biomimetic materials. This motivates the micromechanical description of the elasticity and brittle failure of interfaces between crystals in a (dense) polycrystal, which serves as the skeleton of a porous material defined one observation scale above. Equilibrium and compatibility conditions, together with a suitable matrix-inclusion problem with a compliant interface, yield the homogenized elastic properties of the polycrystal, and of the porous material with polycrystalline solid phase. Incompressibility of single crystals guarantees finite shear stiffness of the polycrystal, even for vanishing interface stiffness, while increasing the latter generally leads to an increase of polycrystal shear stiffness. Corresponding elastic energy expressions give access to effective stresses representing the stress heterogeneities in the microstructures, which induce brittle failure. Thereby, Coulomb-type brittle failure of the crystalline interfaces implies Drucker-Prager-type (brittle, elastic limit-type) failure properties at the scale of the polycrystal. At the even higher scale of the porous material, high interfacial rigidities or low interfacial friction angles may result in closed elastic domains, indicating material failure even under hydrostatic pressure. This micromechanics model can satisfactorily reproduce the experimental strength data of different (brittle) hydroxyapatite biomaterials, across largely variable porosities. Thereby, the brittle failure criteria can be well approximated by micromechanically derived criteria referring to ductile solid matrices, both criteria being even identical if the solid matrix is incompressible. Springer Science+Business Media, LLC, 2007 Fritsch Andreas Laboratory of Materials and Structures, National School of Civil Engineering (ENPC), 77455, Marne-la-Vallee, France aut Dormieux Luc Laboratory of Materials and Structures, National School of Civil Engineering (ENPC), 77455, Marne-la-Vallee, France aut Hellmich Christian Institute for Mechanics of Materials and Structures, Vienna University of Technology (TU Wien), 1040, Vienna, Austria aut Sanahuja Julien Lafarge Research Center, 38291, Saint-Quentin Fallavier Cedex, France aut Journal of Materials Science Springer US; http://www.springer-ny.com 42/21(2007-11-01), 8824-8837 0022-2461 42:21<8824 2007 42 10853 https://doi.org/10.1007/s10853-007-1859-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10853-007-1859-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fritsch Andreas Laboratory of Materials and Structures, National School of Civil Engineering (ENPC), 77455, Marne-la-Vallee, France aut NATIONALLICENCE 700 1- Dormieux Luc Laboratory of Materials and Structures, National School of Civil Engineering (ENPC), 77455, Marne-la-Vallee, France aut NATIONALLICENCE 700 1- Hellmich Christian Institute for Mechanics of Materials and Structures, Vienna University of Technology (TU Wien), 1040, Vienna, Austria aut NATIONALLICENCE 700 1- Sanahuja Julien Lafarge Research Center, 38291, Saint-Quentin Fallavier Cedex, France aut NATIONALLICENCE 773 0- Journal of Materials Science Springer US; http://www.springer-ny.com 42/21(2007-11-01), 8824-8837 0022-2461 42:21<8824 2007 42 10853 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer