Effects of homogenization technique and introduction of interfaces in a multiscale approach to predict the elastic properties of arthropod cuticle

Journal of the Mechanical Behavior of Biomedical Materials

Volumn 23, Issue , 2013, Pages 103-116

  Lhadi, Safaa ^a   Ahzi, Saïd ^a,d   Rémond, Yves ^a   Nikolov, Svetoslav ^b   Fabritius, Helge ^c  

^a UNIVERSITÉ DE STRASBOURG   (France)

^b INSTITUTE OF MECHANICS   (Bulgaria)

^c MAX PLANCK INSTITUT FÜR EISENFORSCHUNG GMBH   (Germany)

^d GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Arthropod cuticle; Elastic properties; Homogenization; Interphase effect; Multiscale model

Indexed keywords

ARTHROPOD CUTICLE; ELASTIC PROPERTIES; HOMOGENIZATION; INTERPHASE EFFECT; MULTISCALE MODELS;

FILLERS; HOMOGENIZATION METHOD; SURFACE MORPHOLOGY;

ELASTICITY;

CALCIUM CARBONATE; CHITIN; FILLER; PROTEIN;

ARTHROPOD; ARTHROPOD CUTICLE; ARTICLE; BIOMECHANICS; CONTROLLED STUDY; CUTICLE; ELASTICITY; HOMOGENATE; HOMOGENIZATION; NANOANALYSIS; PREDICTIVE VALUE; PRIORITY JOURNAL; YOUNG MODULUS;

ANIMALS; ARTHROPOD PROTEINS; ARTHROPODS; BIOMECHANICAL PHENOMENA; CHITIN; ELASTICITY; MINERALS; MODELS, MOLECULAR; NANOSTRUCTURES;

EID: 84877905640     PISSN: 17516161     EISSN: 18780180     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2013.04.003     Document Type: Article

References (27)

1. Abdel Rahman R., George D., Baumgartner D., Nierenberger M., Rémond Y., Ahzi S. An asymptotic method for the prediction of the anisotropic effective elastic properties of the cortical vein: superior sagittal sinus junction embedded within a homogenized cell element. Journal of Mechanics of Materials and Structures 2012, 7:593-611.
2. Baniassadi M., Mortazavi B., Hamedani H.A., Garmestani H., Ahzi S., Fathi-Torbaghan M., Ruch D., Khaleel M. Three-dimensional reconstruction and homogenization of heterogeneous materials using statistical correlation functions and FEM. Computational Materials Science 2012, 51:372-379.
3. Benveniste Y. A new approach to the application of Mori-Tanaka's theory in composite materials. Mechanics of Materials 1987, 6:147-157.
4. Boßelmann F., Romano P., Fabritius H., Raabe D., Epple M. The composition of the exoskeleton of two crustacea: the American lobster Homarus americanus and the edible crab Cancer pagurus. Thermochimica Acta 2007, 463:65-68.
5. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society of London A 1957, 241:376-396.
6. Fabritius H.-O., Sachs C., Triguero P.R., Raabe D. Influence of structural principles on the mechanics of a biological fiber-based composite material with hierarchical organization: the exoskeleton of the lobster Homarus americanus. Advanced Materials 2009, 21:391-400.
7. Ghosh S., Lee K., Moorthy S. Multiple scale analysis of heterogeneous elastic structures using homogenization theory and voronoi cell finite element method. International Journal of Solids and Structures 1995, 32:27-62.
8. Gorden L.M., Joester D. Nanoscale chemical tomography of buried organic-inorganic interfaces in the chiton tooth. Nature Letter 2011, 469:194-197.
9. Guedes J., Kikuchi N. Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. Computer Methods in Applied Mechanics and Engineering 1990, 83:143-198.
10. Hill R. A self-consistent mechanics of composite materials. Journal of the Mechanics and Physics of Solids 1965, 13:213-222.
11. Hill R. Theory of mechanical properties of fibre-strengthened materials-III. self-consistent model. Journal of the Mechanics and Physics of Solids 1965, 13:189-198.
12. Hori M., Nemat-Nasser S. Double-inclusion model and overall moduli of multi-phase composites. Mechanics of Materials 1993, 14:189-206.
13. Hyun S., Torquato S. Effective elastic and transport properties of regular honeycombs for all densities. Journal of Materials Research 2000, 15:1985-1993.
14. Li Y., Waas A.M., Arruda E.M. A closed-form, hierarchical, multi-interphase model for composites-derivation, verification and application to nanocomposites. Journal of the Mechanics and Physics of Solids 2011, 59:43-63.
15. Meguid S.A., Kalamkarov A.L. Asymptotic homogenization of elastic composite materials with a regular structure. International Journal of Solids and Structures 1994, 31:303-316.
16. Mori T., Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 1973, 21:571-574.
17. Mortazavi B., Baniassadi M., Bardon J., Ahzi S. Modeling of two-phase random composite materials by finite element, Mori-Tanaka and strong contrast methods. Composites Part B: Engineering 2013, 45:1117-1125.
18. Mortazavi, B., Bardon, J., Ahzi, S. Interphase effect on the elastic and thermal conductivity response of polymer nanocomposite materials: 3D finite element study. Computational Materials Science. 69, 100-106, http://dx.doi.org/10.1016/j.commatsci.2012.11.035.
19. Nikolov S., Fabritius H., Petrov M., Friák M., Lymperakis L., Sachs C., Raabe D., Neugebauer J. Robustness and optimal use of design principles of arthropod exoskeletons studied by ab initio-based multiscale simulations. Journal of the Mechanical Behavior of Biomedical Materials 2011, 4:129-145.
20. Raabe D., Romano P., Sachs C., Fabritius H., Al-Sawalmih A., Yi S.-B., Servos G., Hartwig H.G. Microstructure and crystallographic texture of the chitin-protein network in the biological composite material of the exoskeleton of the lobster Homarus americanus. Materials Science and Engineering: A 2006, 421:143-153.
21. Reuss A. Berechnung der Fliegrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik 1929, 9:49-58.
22. Sachs, C., 2008. Microstructure and Mechanical Properties of the Exoskeleton of the Lobster Homarus americanus as an Example of a Biological Composite Material [Doctoral Thesis]. OPUS3-IDN/2476. URL 〈http://134.130.184.8/opus/volltexte/2008/2476/〉.
23. Sachs C., Fabritius H., Raabe D. Influence of microstructure on deformation anisotropy of mineralized cuticle from the lobster Homarus americanus. Journal of Structural Biology 2008, 161:120-132.
24. Saheli G., Garmestani H., Adams B.L. Microstructure design of a two phase composite using two-point correlation functions. Journal of Computer-Aided Materials Design 2004, 11:103-115.
25. Tandon G.P., Weng G.J. The effect of aspect ratio of inclusions on the elastic properties of unidirectionally aligned composites. Polymer Composites 1984, 5:327-333.
26. Torquato S. Effective stiffness tensor of composite media: II. Applications to isotropic dispersions. Journal of the Mechanics and Physics of Solids 1998, 46:1411-1440.
27. Voigt W. Ueber die Beziehung zwischen den beiden Elasticitätsconstanten isotroper Körper. Annalen der Physik 1889, 274:573-587.