Constitutive modeling of the stress-stretch behavior of two-dimensional triangulated macromolecular networks containing folded domains

Journal of Applied Mechanics, Transactions ASME

Volumn 75, Issue 1, 2008, Pages 0110201-0110207

  Arslan, M ^a   Boyce, M C ^a   Qi, H J ^b   Ortiz, C ^a  

^a Massachusetts Institute of Technology   (United States)

^b University of Colorado at Boulder   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAIN DEFORMATION; CONSTITUTIVE MODELLING; CONTINUUM LEVEL; FORCE BEHAVIOR; FORCE-EXTENSION; INDIVIDUAL (PSS 544-7); LIPID BILAYER; MACROMOLECULAR NETWORKS; MACROSCOPIC LOADING; MACROSCOPIC STRAINS; MECHANICAL BEHAVIORS; MEMBRANE STRESSES; NON COVALENT INTERACTIONS; RED BLOOD CELL (RBC); SIMPLE SHEAR; SPECTRIN; SPECTRIN NETWORK; STRESS STRAIN BEHAVIORS; SURFACE AREA (SA); TRANSITION STATE (TS); TWO-DIMENSIONAL (2D); UNIAXIAL TENSIONS;

BLOOD; CELL MEMBRANES; CHAINS; LIPID BILAYERS; MECHANICS; MOLECULAR INTERACTIONS; SPEED; STATISTICAL MECHANICS; STRESSES; TWO DIMENSIONAL;

CONSTITUTIVE MODELS;

EID: 41549090298     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2745373     Document Type: Article

References (30)

1. Rief, M., Gautel, M., Oesterhelt, F., Fernandez, J. M., and Gaub, H. E., 1997, "Reversible Unfolding of Individual Titin Immunoglobulin Domains by AFM," Science, 276, pp. 1109-1112.
2. Oberhauser, A. F., Marszalek, P. E., Erickson, H. P., and Fernandez, J. M., 1998, "The Molecular Elasticity of the Extracellular Matrix Protein Tenascin," Nature (London), 393, pp. 181-185.
3. Fisher, T. E., Oberhauser, A. F., Carrion-Vazquez, M., Marszalek, P. E., and Fernandez, J. M., 1999, "The Study of Protein Mechanics With the Atomic Force Microscope," TIBS, 24, pp. 379-384.
4. Rief, M., Pascual, J., Saraste, M., and Gaub, H. E., 1999, "Single Molecule Force Spectroscopy of Spectrin Repeats: Low Unfolding Forces in Helix Bundles," J. Mol. Biol., 286, pp. 553-561.
5. Law, R., Carl, P., Harper, S., Dalhaimer, P., Speicher, D., and Discher, D. E., 2003, "Cooperativity in Forced Unfolding of Tandem Spectrin Repeats," Biophys. J., 84, pp. 533-544.
6. Anslan, M., and Boyce, M. C., 2005, "Constitutive Modeling of the Finite Deformation Behavior of Membranes Possessing a Triangulated Network Microstructure," J. Appl. Mech., 73, pp. 536-543.
7. Eyring, H., 1936, "Viscosity, Plasticity and Diffusion as Examples of Absolute Reaction Rates," J. Chem. Phys., 4, pp. 283-291.
8. Evans, E. A., 1973, "A New Material Concept for the Red Cell Membrane," Biophys. J., 13, pp. 926-940.
9. Skalak, R., Tozeren, A., Zarda, R. P., and Chien, S., 1973, "Strain Energy Function of Red Blood Cell Membranes," Biophys. J., 13, pp. 245-264.
10. Dao, M., Lim, C. T., and Suresh, S., 2003, "Mechanics of the Human Red Blood Cell Deformed by Optical Tweezers," J. Mech. Phys. Solids, 51, pp. 2259-2280.
11. Mills, J. P., Qie, L., Dao, M., Lim, C. T., and Suresh, S., 2004, "Nonlinear Elastic and Viscoelastic Deformation of the Human Red Blood Cell With Optical Tweezers," Mech. Chem. Biosyst., 1, pp. 169-180.
12. Flory, P. J., 1953, Principles of Polymer Chemistry, Cornell University Press, Ithaca, NY.
13. Treloar, L. R. G., 1958, The Physics of Rubber Elasticity, Clarendon, Oxford.
14. Boyce, M. C., and Arruda, E. M., 2000, "Constitutive Models of Rubber Elasticity: A Review," Rubber Chem. Technol., 73, pp. 504-523.
15. Bischoff, J. E., Arruda, E. M., and Grosh, K., 2002, "Orthotropic Hyperelasticity in Terms of an Arbitrary Molecular Chain Model," J. Appl. Mech., 69, pp. 198-201.
16. Bischoff, J. E., Arruda, E. M., and Grosh, K., 2002, "A Microstructurally Based Orthotropic Hyperelastic Constitutive Law," J. Appl. Mech., 69, pp. 570-579.
17. Bergstrom, J., and Boyce, M. C., 2001, "Deformation of Elastomeric Networks: Relation Between Molecular Level Deformation and Classical Statistical Mechanics Models of Rubber Elasticity," Macromolecules, 34(3), pp. 614-626.
18. Holzapfel, G. A., 2002, "Structural and Numerical Models for the (Visco)elastic Response of Arterial Walls With Residual Stresses," Biomechanics of Soft Tissue in Cardiovascular Systems (CISM Courses and Lectures, International Centre for Mechanical Sciences), G. A. Holzapfel and R. W. Ogden, eds., Springer-Verlag, Wien.
19. Qi, H. J., Ortiz, C., and Boyce, M. C., 2005, "Protein Forced Unfolding and its Effect on the Finite Deformation Stress-Strain Behavior of Biomacromolecular Solids," Mater. Res. Soc. Symp. Proc., 874, pp. L.4.3.1-L.4.3.6.
20. Qi, H. J., Ortiz, C., and Boyce, M. C., 2006, "Constitutive Model for the Stress-Strain Behavior of Biomacromolecular Networks Containing Folded Domains," ASME J. Eng. Mater. Technol., 128, pp. 509-518.
21. Arslan, M., Boyce, M. C., Qi, H. J., and Ortiz, C., 2005, "Constitutive Modeling of the Stress-Stretch Behavior of Biological Membranes Containing Folded Domains," Mater. Res. Soc. Symp. Proc., 898, pp. L14-05.
22. Kuhl, E., Garikipati, K., Arruda, E. M., and Grosh, K., 2005, "Remodeling of Biological Tissue: Mechanically Induced Reorientation of a Transversely Isotropic Chain Network," J. Mech. Phys. Solids, 53(7), pp. 1552-1573.
23. Bausch, A. R., and Kroy, K., 2006, "A Bottom-Up Approach to Cell Mechanics," Nat. Phys., 2, pp. 231-238.
24. Liu, S., Derick, L. H., and Palek, J., 1987, "Visualization of the Hexagonal Lattice in the Erythrocyte Membrane Skeleton," J. Cell Biol., 104, pp. 527-536.
25. Byers, T. J., and Branton, D., 1985, "Visualization of the Protein Associations in the Erythrocyte Membrane Skeleton," Proc. Natl. Acad. Sci. U.S.A., 82, pp. 6153-6157.
26. Rief, M., Fernandez, J. M., and Gaub, H. E., 1998, "Elastically Coupled Two-Level Systems as a Model for Biopolymer Extensibility," Phys. Rev. Lett., 81, pp. 4764-4767.
27. Bell, G. I., 1978, "Models for the Specific Adhesion of Cells to Cells," Science, 200, pp. 618-627.
28. Holzapfel, G. A., 2000, Nonlinear Solid Mechanics: A Continuum Approach for Engineering, Wiley, New York.
29. Qi, H. J., and Boyce, M. C., 2004, "Constitutive Model for Stretch-Induced Softening of the Stress-Stretch Behavior of Elastomeric Materials," J. Mech. Phys. Solids, 52, pp. 2187-2205.
30. Taylor, G. I., 1938, "Plastic Strain in Metals," J. Inst. Met., 62, pp. 307-324.