The status of the K-BKZ model within the framework of materials with multiple natural configurations

Journal of Non-Newtonian Fluid Mechanics

Volumn 141, Issue 2-3, 2007, Pages 79-84

  Rao, I J ^a   Rajagopal, K R ^b  

^a NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

^b Texas AandM University   (United States)

Author keywords

Integral models; K BKZ fluid; Maximization of the rate of entropy production; Natural configurations

Indexed keywords

ENERGY DISSIPATION; ENTROPY; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; NON NEWTONIAN FLOW; THERMODYNAMICS;

DISSIPATIVE PROCESSES; FLUID MODEL; NATURAL CONFIGURATION;

FLUID DYNAMICS;

ENERGY DISSIPATION; ENTROPY; FLUID DYNAMICS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; NON NEWTONIAN FLOW; THERMODYNAMICS;

EID: 33846334878     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2006.05.014     Document Type: Article

References (19)

1. Treloar L.R.G. Physics of Rubber Elasticity (1975), Clarendon Press, Oxford
2. Kaye A. Non-Newtonian Flow in Incompressible Fluids, Part I: A General Rheological Equation of State; Part II: Some Problems in Steady Flow, Note No. 134 (1962), College of Aeronautics, Cranford, UK
3. Bernstein B., Kearsley E.A., and Zapas L.J. A study of stress relaxation with finite strain. Trans. Soc. Rheol. 7 (1963) 391
4. Doi M., and Edwards S.F. The Theory of Polymer Dynamics (1986), Oxford Science Publications, Oxford
5. Eshelby J.D. The continuum theory of lattice defects. In: Seitz F., and Turnbull B. (Eds). Solid State Physics vol. 3 (1956), Academic Press, NY
6. Rajagopal K.R., and Srinivasa A.R. On the role of the Eshelby energy-momentum tensor in materials with multiple natural configurations. J. Math. Mech. Solids 10 (2005) 3
7. Rajagopal K.R., and Srinivasa A.R. On thermomechanical restrictions of continua. Proc. Roy. Soc. Lond. A460 (2004) 631
8. Rajagopal K.R., and Srinivasa A.R. A thermodynamic frame-work for rate type fluid models. J. Non-Newton. Fluid Mech. 88 (2000) 207
9. Muralikrishna J., and Rajagopal K.R. A thermodynamic framework for the constitutive modeling asphalt concrete. Part 1: theory and applications. ASCE J. Mater. Civil Eng. 16 (2004) 155
10. Maxwell J.C. On the dynamical theory of gases. Phil. Trans. Soc. Lond. A157 (1866) 26
11. Beris A.N., and Edwards B.J. Thermodynamics of Flowing Systems, Oxford Engineering Science Series vol. 36 (1994), Oxford Science Publications, Oxford University Press, New York
12. Rajagopal K.R., and Srinivasa A.R. Modeling anisotropic fluids within the framework of bodies with multiple natural configurations. J. Non-Newton. Fluid Mech. 99 (2001) 109
13. Rao I.J., and Rajagopal K.R. A thermodynamic framework for studying crystallization in polymers. ZAMP 53 (2002) 365
14. Green A.E., and Naghdi P.M. On thermodynamics and the nature of the second law. Proc. Roy. Soc. Lond. A357 (1977) 253
15. Öttinger H.C. Beyond Equilibrium Thermodynamics (2005), Wiley-Interscience, New York
16. Eckart C. The thermodynamics of irreversible processes. IV. The theory of elasticity and anelasticity. Phys. Rev. 73 4 (1948) 373
17. Rao I.J., Humphrey J.D., and Rajagopal K.R. Biological growth and remodeling: a uniaxial example with possible application to ligaments and tendons. Comput. Model. Eng. Sci. 4 3-4 (2003) 439
18. Gardel M.L., Nakamura F., Hartwig J.H., Crocker J.C., Stossel T.P., and Weitz D.A. Stress-dependent elasticity of composite actin networks as a model for cell behavior. Phys. Rev. Lett. 96 (2006) (Art. No. 088102)
19. Gardel M.L., Nakamura F., Hartwig J.H., Crocker J.C., Stossel T.P., and Weitz D.A. Prestressed F-actin networks cross-linked by hinged filamins replicate mechanical properties of cells. Proc. Natl. Acad. Sci. 103 (2006) 1762