Micromechanical explanation of elasticity and strength of gypsum: From elongated anisotropic crystals to isotropic porous polycrystals

Journal of Engineering Mechanics

Volumn 136, Issue 2, 2010, Pages 239-253

  Sanahuja, Julien ^a,b   Dormieux, Luc ^c   Meille, Sylvain ^d   Hellmich, Christian ^e   Fritsch, Andreas ^e  

^a LAFARGE CENTRE DE RECHERCHE   (France)

^b EDF R AND D   (France)

^c UNIVERSITÉ PARIS EST   (France)

^d UNIVERSITÉ DE LYON   (France)

^e VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Anisotropy; Elasticity; Gypsum; Homogenization; Micromechanics; Microstructures; Strength

Indexed keywords

ANISOTROPIC CRYSTALS; BRITTLE FAILURES; ELASTIC CHARACTERISTIC; EXPERIMENTAL DATA; FINITE ELEMENT ANALYSIS; GYPSUM SAMPLE; HOMOGENIZATION; HOMOGENIZATION SCHEME; MICRO-MECHANICAL; PRINCIPAL STRESS; RANDOM MEDIA; SELF-CONSISTENT SCHEME; STRENGTH DOMAIN; STRENGTH MODELS; YOUNG'S MODULUS;

ANISOTROPY; ELASTICITY; GYPSUM; MECHANICAL PROPERTIES; MICROMECHANICS; MICROSTRUCTURE;

SINGLE CRYSTALS;

ANISOTROPY; BRITTLE FAILURE; COMPRESSION; CRYSTALLINITY; ELASTICITY; FINITE ELEMENT METHOD; GYPSUM; MICROMECHANICS; POROSITY; ROCK MICROSTRUCTURE; STRENGTH; TENSION; YOUNG MODULUS;

EID: 77951951143     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)EM.1943-7889.0000072     Document Type: Article

References (32)

1. Ali M.A. Singh B. The effect of porosity on the properties of glass fibre-reinforced gypsum plaster. J. Mater. Sci. 1975, 10(11):1920-1928. JMTSAS, 0022-2461, 10.1007/BF00754481
2. Alsadi S. Combe E.C. Cheng Y.-S. Properties of gypsum with the addition of gum Arabic and calcium hydroxide. J. Prosthet. Dent. 1996, 76(5):530-534. JPDEAT, 0022-3913, 10.1016/S0022-3913(96)90013-X
3. Cherkaev A.E. Lurie K.A. Milton G.W. Invariant properties of the stress in plane elasticity and equivalence classes of composites. Proc. R. Soc. London, Ser. A 1992, 438(1904):519-529. PRLAAZ, 0950-1207, 10.1098/rspa.1992.0123
4. Colak A. Physical and mechanical properties of polymer-plaster composites. Mater. Lett. 2006, 60(16):1977-1982. MLETDJ, 0167-577X, 10.1016/j.matlet.2005.12.062
5. Dany C. Étude de l'influence de la microstructure sur les propriétés mécaniques du plâtre sec. 1995 MA thesis, Génie Physique des Matériaux, INSA, Lyon, France.
6. Day A.R. Snyder K.A. Garboczi E.J. Thorpe M.F. The elastic moduli of a sheet containing circular holes. J. Mech. Phys. Solids 1992, 40(5):1031-1051. JMPSA8, 0022-5096, 10.1016/0022-5096(92)90061-6,
7. De Jong W. Bouman J. Z. Kristallogr. 1938100:275. ZEKRDZ0044-2968
8. Desrues J. Limitations du choix de l'angle de frottement pour le critère de plasticité de drucker-prager. Revue Française de Génie Civil 20026(5):853-862. 10.3166/rfgc.6.853-862
9. Dormieux L. Sanahuja J. Maalej Y. Résistance d'un polycristal avec interfaces intergranulaires imparfaites. C. R. Mec. 2007335(1):25-31. CRMOC91631-072110.1016/j.crme.2006.11.005
10. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusionand related problems. Proc. R. Soc. LondonSer. A 1957241(1226):376-396. PRLAAZ0950-120710.1098/rspa.1957.0133
11. Fairhurst C.W. Compressive properties of dental gypsum. J. Dent. Res. 196039(4):812-824. JDREAF0022-0345
12. Fritsch A. Dormieux L. Hellmich C. Porous polycrystals built up by uniformly and axisymmetrically oriented needles: Homogenization of elastic properties. C. R. Mec. 2006334(3):151-157. CRMOC91631-072110.1016/j.crme.2006.01.008
13. Fritsch A. Dormieux L. Hellmich C. Sanahuja J. Micromechanics of crystal interfaces in polycrystalline solid phases of porous media: Fundamentals and application to strength of hydroxyapatite biomaterials. J. Mater. Sci. 2007a42(21):8824-8837. JMTSAS0022-246110.1007/s10853-007-1859-4
14. Fritsch A. Dormieux L. Hellmich C. Sanahuja J. Micromechanics of hydroxyapatite-based biomaterials and tissue engineering scaffolds. Tissue engineering using ceramics and polymers 2007b529-565 .Woodhead Publishing Limited.
15. Fritsch A. Dormieux L. Hellmich C. Sanahuja J. Mechanical behaviour of hydroxyapatite biomaterials: An experimentally validated micromechanical model for elasticity and strength. J. Biomed. Mater. Res. Part A 200988A(1):149-161. 1549-329610.1002/jbm.a.31727
16. Garboczi E.J. Snyder K.A. Douglas J.F. Thorpe M.F. Geometrical percolation threshold of overlapping ellipsoids. Phys. Rev. E 199552(1):819-828. PLEEE81063-651X10.1103/PhysRevE.52.819
17. Gmouh A. Eve S. Samdi A. Moussa R. Hamel J. Gomina M. Changes in plaster microstructure by pre-stressing or by adding gypsum grains: Microstructural and mechanical investigations. Mater. Sci. Eng.A 2003352:325-332. MSAPE30921-509310.1016/S0921-5093(02)00938-3
18. Haussühl S. Elastische und thermoelastiche eigenschaften von CaSO42H2O (gips). Z. Kristallogr. 1965122:311-314. ZEKRDZ0044-2968
19. Khalil A.A. Gypsum plasters. II: Constitution and properties of the prepared β-hemihydrates. J. Appl. Chem. Biotechnol. 197222:703-709. JACBBD0375-921010.1002/jctb.5020220609
20. Klima W.F. The kinetics of crystal growth of calcium sulfate dihydrate. 1983Ph.D. thesisState Univ. of New York at BuffaloNew York.
21. Kröner E. Bounds for effective elastic moduli of disordered materials. J. Mech. Phys. Solids 197725:137-155. JMPSA80022-509610.1016/0022-5096(77)90009-6
22. Meille S. Étude du comportement mécanique du plâtre pris en relation avec sa microstructure. 2001Ph.D. thesisINSALyonFrance.
23. Meille S. Garboczi E.J. Linear elastic properties of 2D and 3D models of porous materials made from elongated objects. Modell. Simul. Mater. Sci. Eng. 20019(5):371-390. MSMEEU0965-039310.1088/0965-0393/9/5/303
24. Péronnet F. Caractérisation du comportement mécanique des plâtres. 1994Rapport de StageGénie Physique des MatériauxINSALyonFrance.
25. Phani K.K. Young's modulus-porosity relation in gypsum systems. Am. Ceram. Soc. Bull. 198665(12):1584-1586. ACSBA70002-7812
26. Sanad M.E. Combe E.C. Grant A.A. The use of additives to improve the mechanical properties of gypsum products. J. Dent. Res. 198261(6):808-810. JDREAF0022-0345
27. Sanahuja J. Dormieux L. Chanvillard G. A reply to the discussion 'Does C-S-H particle shape matter?' by F.-J. Ulm and H. M. Jennings of the paper 'Modelling elasticity of a hydrating cement paste,' CCR 37 (2007). Cem. Concr. Res. 200838(8-9):1130-1134. CCNRAI0008-884610.1016/j.cemconres.2008.03.024
28. Schinkel H. Creep of gypsum under flexural load. 1993Technical Rep.Bouwcentrum AdviesRotterdamThe Netherlands.
29. Simon B. Bienfait M. Structure et mécanisme de croissance du gypse. Acta Crystallogr. 196519(5):750-756. ABCRE60907-444910.1107/S0365110X65004310
30. Tazawa E. Effect of self stress on flexural strength of gypsum-polymer composites. Adv. Cem. Based Mater. 19987(1):1-7. ACATE91065-735510.1016/S1065-7355(97)00010-2
31. Vekinis G. Ashby M.F. Beaumont P.W. R. Plaster of Paris as a model material for brittle porous solids. J. Mater. Sci. 199328(12):3221-3227. JMTSAS0022-246110.1007/BF00354239
32. Wang E.Z. Shrive N.G. Brittle failure in compression: Mechanismsmodels and criteria. Eng. Fract. Mech. 199552(6):1107-1126. EFMEAH0013-794410.1016/0013-7944(95)00069-8