A gradient thermodynamic theory of self-organization

K. C. Valanis1
1Endochronics, Vancouver, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Toupin, R. A.: Elastic materials with couple stress. Arch. Rat. Mech. Anal.11, 119?132 (1962).

Toupin, R. A.: Theories of elasticity with couple stress. Arch. Rat. Mech. Anal.17, 85?112 (1964).

Mindlin, R. D.: Micro-structure in linear elasticity. Arch. Rat. Mech. Anal.16, 51?78 (1964).

Mindlin, R. D.: Second gradient of strain and surface tension in linear elasticity. Int. J. Solids Struct.1, 417?438 (1965).

Green, A. E., Rivlin, R. S.: Multipolar continuum mechanics. Arch. Rat. Mech. Anal.17, 113?147 (1965).

Aifantis, E. C.: Remarks on media with microstructure. Int. J. Eng. Sci.22, 961?968 (1984).

Aifantis, E. C.: On the structure of single slip and its implications for inelasticity. In: Physical basis and modelling of finite deformations of aggregates (Gittus, J. et al., eds.) pp. 283?324. London: Elsevier 1986.

Aifantis, E. C.: On the microstructural origin of certain inelastic models. J. Eng. Mat. Technol.106, 326?330 (1984).

Lubahn, J. D., Felgar, R. P.: Plasticity and creep in metals. New York: John Wiley 1951.

Holden, A. N.: Inhomogeneous flow and strain aging in metals. Research Laboratory Report. General Electric Co. Schenectady, N. Y. 1957.

Muir, J., Binnie, D.: Overstraining of steel by bending. Engineering27, 743?753 (1926).

Steele, M. C., Eichberger, L. C.: Homogeneous yield of steel cylinders. 1-Mid steel. Trans. ASME79, 1608?1615 (1957).

Robinson, E. L.: Bursting tests of steel turbine wells. Trans. ASME66, 373?383 (1946).

Vardoulakis, J.: Bifurcation analysis of the triaxial test on sand samples. Acta Mech.32, 35?54 (1979).

Vardoulakis, I., Aifantis, E. C.: A gradient flow theory of plasticity for granular materials. Acta Mech.87, 197?214 (1991).

Vardoulakis, I., Frantziskonis, G.: Micro-structure in kinematic-hardening plasticity. Eur. J. Mech.11, 467?486 (1992).

Valanis, K. C.: Irreversibility and existence of entropy. J. Nonlinear Mech.6, 337?360 (1971).

Valanis, K. C.: Thermodynamics of large viscoelastic deformations. J. Math. Phys. 001545, 197?212 (1966).

Valanis, K. C.: The viscoelastic potential and its thermodynamic foundations. Iowa State University Report 52 (1967); J. Math. Phys.47, 267?276 (1968).

Coleman, B., Gurtin, M.: Thermodynamics of internal state variables. J. Chem. Phys.47, 599?613 (1967).

Valanis, K. C.: A theory of viscoplasticity without a yield surface. Arch. Mech.23, 517?533 (1971).

Kosinski, W., Wojno, W.: Gradient generalization to internal variable approach. Arch. Mech.47, 523?536 (1995).

Valanis, K. C.: Some recent developments in the endochronic theory of plasticity ? The concept of internal barriers. In: Constitutive equations in viscoplasticity (Valanis, K. C., ed.). AMD21, 15?32 (1976).