Mesomechanics of continua and revised field equations

JSME International Journal, Series A: Mechanics and Material Engineering

Volumn 40, Issue 2, 1997, Pages 99-107

  Takahashi, Kunihiro ^a,b  

^a KEIO UNIVERSITY   (Japan)

^b NISSAN MOTOR CO   (Japan)

Author keywords

Constitutive Equation; Continuum Mechanics; Field Equation; Heat Conduction; Lattice Dynamics; Mesomechanics; Micromechanics; Micropolar Material; Molecular Dynamics; Thermal Stress

Indexed keywords

EQUATIONS OF MOTION; HEAT CONDUCTION; LATTICE VIBRATIONS; MOLECULAR DYNAMICS; THERMAL STRESS;

MESOMECHANICS; MICROPOLAR MATERIALS;

CONTINUUM MECHANICS;

EID: 0031125531     PISSN: 13408046     EISSN: None     Source Type: Journal    
DOI: 10.1299/jsmea1993.40.2_99     Document Type: Article

References (37)

1. Continuum Physics, ed. Eringen, A.C., Vol. 4 (1976), Academic Press, New York.
2. Mechanics of Generalized Continua, ed. Kröner, E., Proc. of IUTAM Symp,(1968), Springer Verlag, Berlin.
3. Ye, L., Beehag, A. and Friedrich, K., Mesostructural Aspects of Interlaminar Fracture in Thermoplastic Composites : Is Crystallinity a Key, Comp. Sci. Technol., Vol. 53(1995), p. 167.
4. Yurgartis, S.W., Techniques for the Quantification of Composite Mesostructure, Comp. Sci. Technol., Vol. 53(1995), p. 145.
5. Microstructure-Property Interactions in Composite Materials, ed. Pyrz, R.,(1995), Kluwer Academic Publishers.
6. Ochiai, S. and Osamura, K., Monte-Carlo Simulation on Notched Strength of Unidirectional Boron-Aluminium Composites, J. Mater. Sci., Vol. 27 (1992), p. 4061.
7. Composite Media Homogenization Theory, eds. Maso, G.D. and Antonio, G.D.,(1995), World Scientific.
8. Murakami, S., Mechanical Modeling of Material Damage, ASME J. Appl. Mech., Vol. 55, No. 2 (1988), p. 280.
9. Kachanov, L.M., Introduction to Continuum Damage Mechanics, (1986), Martinus Nijihoff.
10. Panin, V.E., Physical Mesomechanics of Plastic Deformation and Experimental Results Obtained by Optical Methods, Oyo Buturi, Vol. 64, No. 9 (1995), p. 888.
11. Fleck, N.A., Muller, G.M., Ashby, M.F. and Hutchinson, W., Strain Gradient Plasticity: Theory and Experiment, Acta Metall. Mater., Vol. 42, No. 2(1994), p. 475.
12. Tokuda, M., Yamada, K. and Havlicek, F., A Study on a Semimicroscopic Formulation of Inelastic Constitutive Equations of Polycrystalline Metals Subjected to a Large Deformation, Trans. ASME, J. Eng. Mater. Tech., Vol. 111(1989), p. 294.
13. Yokozuka, T., Shizawa, K. and Takahashi, K., Basic Equations of Mass Transfer Considering Nonlocal Effects of Mesodomain, Int. J. Eng. Sci., in press (1997).
14. Yokozuka, T., Funasako, T., Shimada, H., Shizawa, K. and Takahashi, K., Diffusion Equations Based on Generalized Continuum Mechanics and Numerical Analysis (in Japanese), Trans. Jpn. Soc. Mech. Eng., Vol. 62, No. 597, B(1996), p. 1977.
15. Marciak-Kozlowska, J., Mucha, Z. and Kozlowski, M., Picosecond Thermal Pulses in Thin Gold Films, Int. J. Thermophys., Vol. 16, No. 6(1995), p. 1489.
16. Takahashi, K., Noninstantaneity and Nonlocality of Entropy Inequality in Continuum (in Japanese), Bull. JSIAM, Vol. 5, No. 2(1995), p. 112.
17. Marciak-Kozlowska, J., Wave Characteristic of Femtosecond Heat Conduction in Thin Films, Int. J. Thermophys., Vol. 14, No. 3(1993), p. 593.
18. Tzou, D.Y., Thermal Resonance under Frequency Excitations, Trans. ASME J. Heat Transfer, Vol. 114(1992), p. 310.
19. Fann, W.S., Storz, R., Tom, H.W.K. and Bokor, J., Direct Measurement of Nonequilibrium Electron-Energy Distributions in Subpicosecond Laser-Heated Gold Films, Phys. Rev. Lett., Vol. 68, No. 18(1992), p. 2834.
20. Kim, W.-S. and Lee, K.-S., Hyperbolic Heat Conduction in an Orthotropic Medium, Proc. 2nd JSME-KSME Thermal Eng. Conf., Vol. 2(1992), p. 101.
21. Cheolho, B. and Adrienne, S.L., Hyperbolic Heat Conduction in a Superconducting Film, Proc. ASME/JSME Thermal. Eng., Vol. 4(1991), p. 87.
22. Yang, H.Q., Non-Fourier Effect on Heat Conduction During Welding, Int. J. Heat Mass Transfer, Vol. 34, No. 11(1991), p. 2921.
23. Joseph, D.D. and Preziosi, L., Heat Waves, Rev. Mod. Phys., Vol. 61, No. 1(1989), p. 41.
24. Preziosi, L. and Joseph, D.D., Stokes' First Problem for Viscoelastic Fluids, J. Non-Newtonian Fluid Mech., Vol. 25(1987), p. 239.
25. Yasui, Y., Shizawa, K. and Takahashi, K., Microscopic Derivation for Energy Equation Based on Lattice Dynamics (in Japanese), Trans. Jpn. Soc. Mech. Eng. A, Vol. 62, No. 601(1995), p. 2116.
26. Shibutani, Y., Vitek, V. and Bassani, J.L., eds. Parker, D.F. and England, A.H., Proc. IUTAM Symp., (1995), p. 69, Kluwer Academic Publishers.
27. Todd, B.D., Daivis, P.J. and Evans, D.J., Heat Flux Vector in Highly Inhomogeneous Nonequilibrium Fluids, Phys. Rev. E, Vol. 51, No. 5(1995), p. 4369.
28. Bardenhagen, S. and Triantafyllidis, N., Derivation of Higher Order Gradient Continuum Theories in 2, 3-D Non-Linear Elasticity from Periodic Lattice Models, J. Mech. Phys. Solids, Vol. 42, No. 1(1994), p. 111.
29. Vitek, V., Wang, G.J., Alber, E.S. and Bassani, J. L., Relationship between Modeling of the Atomic Structure of Grain Boundaries and Studies of Mechanical Properties, J. Phys. Chem. Solids, Vol. 55, No. 10(1994), p. 1147.
30. Daivis, P.J. and Evans, D.J., Non-Equilibrium Molecular Dynamics Calculation of Thermal Conductivity of Flexible Molecules: Butane, Mol. Phys., Vol. 81, No. 6(1994), p. 1289.
31. Triantafyllidis, N. and Bardenhagen, S., On Higher Order Gradient Continuum Theories in 1-D Nonlinear Elasticity. Derivation from and Comparison to the Corresponding Discrete Models, J. Elasticity, Vol. 33(1993), p. 259.
32. Alber, I., Bassani, J.L., Khantha, M., Vitek, V. and Wang, G.J., Grain Boundaries as Heterogeneous Systems : Atomic and Continuum Elastic Properties, Phil. Trans. R. Soc. Lond. A, Vol. 339 (1992), p. 555.
33. Haritos, G.K., Hager, J.W., Amos, A.K., Salkind, M.J. and Wang, A.S.D., Mesomechanics: The Microstructure-Mechanics Connection, Int. J. Solids Structure, Vol. 24, No. 11(1988), p. 1081.
34. Askar, A., Lattice Dynamical Foundations of Continuum Theories, (1985), World Scientific, Singapore.
35. Green, A.E. and Zerna, W., Theoretical Elasticity, 2nd ed., (1968), p. 72, Oxford University Press.
36. Ziegler, H., An Introduction to Thermomechanics, (1983), p. 271, North-Holland.
37. Sokolowski, M., Theory of Couple-Stresses in Bodies with Constrained Rotations, (1970), Springer-Verlag.