A gradient approach to localization of deformation. I. Hyperelastic materials
Tóm tắt
Từ khóa
Tài liệu tham khảo
E.C. Aifantis and J.B. Serrin, The Mechanical Theory of Fluid Interfaces and Maxwell's Rule. J. Coll. and Interface Science 96 (1983) 517?529.
E.C. Aifantis and J.B. Serrin, Equilibrium Solutions in the Mechanical Theory of Fluid Microstructures. J. Coll. and Interf. Sci. 96 (1983) 530?547.
E.C. Aifantis, Some Thoughts on Degrading Materials, in: NSF Workshop on Mechanics of Damage and Fracture, Eds. S.N. Atluri and J.E. Fitzgerald. pp. 1?12, Atlanta (1982).
E.C. Aifantis, Dislocation Kinetics and the Formation of Deformation Bands, in: Defects Fracture and Fatigue, Eds. G.C. Sih and J.W. Provan. pp. 75?84, Martinus-Nijhoff (1983).
E.C. Aifantis, Towards a Continuum Approach to Dislocation Patterning, in: Dislocations in Solids-Recent Advances, AMD-63, Ed. X. Markenscoff. pp. 23?33, ASME (1984).
E.C. Aifantis, ?On Dislocation Patterning?, in: Dislocations in Solids, Eds. H. Suzuki, T. Ninomiya, K. Sumino, and S. Takeuchi. pp. 41?47, Univ. of Tokyo Press (1985).
E.C. Aifantis, Microscopic Processes and Macroscopic Response, in: Mechanics of Engineering Materials, Eds. C.S. Desai and R.H. Gallagher. pp. 1?22, John Wiley (1984).
E.C. Aifantis, On the Mechanics of Modulated Structures, in: Modulated Structure Materials, NATO ASI Series 83, Ed. T. Tsakalakos. pp. 357?385, Martinus-Nijhoff (1984).
E.C. Aifantis, Continuum Models for Dislocated States and Media with Microstructures, in: The Mechanics of Dislocations, Eds. E.C. Aifantis and J.P. Hirth pp. 127?146, ASM, Metals Park (1985).
E.C. Aifantis, On the Microstructural Origin of Certain Inelastic Models. Transactions of ASME, J. Engng. Mat. Tech. 106 (1984) 326?330.
J. Hadamard, Lecons sur la Propagation des Ondes et les Equations de l'Hydrodynamique. Chap. 6, Paris (1903).
T.Y. Thomas, Plastic Flow and Fracture in Solids. Academic Press (1961).
J. Mandel, Conditions de Stabilité et Postulat de Drucker, in: Rheology and Soil Mechanics, Eds. J. Kravtchenko and P.M. Sirieys. pp. 58?68, Springer (1966).
J.K. Knowles and E. Sternberg, On the Failure of Ellipticity of the Equations for Finite Elastostatics Plane Strain. Arch. Rat. Mech. Analysis 63 (1977) 321?336.
J.R. Rice, The Localization of Plastic Deformation, in: Theoretical and Applied Mechanics (Proceedings of the 14th I.U.T.A.M. Conference, Delft, August 30-Sept. 4 (1976), Ed. W.T. Koiter, (1976) 207?220, North-Holland.
MarciniakZ. and K. Kuczynski, Limit Strains in the Process of Stretch Forming Sheet Metal. Int. J. Mech. Sciences 9 (1967) 609?625.
V. Tvergaard, A. Needleman and K.K. Lo, Flow Localization in the Plane Strain Tensile Test. J. Mech. Phys. Solids 29 (1981) 115?142.
E.C. Aifantis, Maxwell and van der Waals Revisited, in: Phase Transformations in Solids, Ed. T. Tsakalakos. MRS Vol. 21 (1984) 37?49, North-Holland.
V. Alexiades and E.C. Aifantis, On the Thermodynamic Theory of Fluid Interfaces: Infinite Intervals, Equilibrium Solutions, and Minimizers. J. Coll. Interf. Sci. 111 (1986) 119?132.
R.D. Mindlin, Second Gradient of Strain and Surface Tension in Linear Elasticity. Int. J. Solids Struct. 1 (1965) 417?438.
A.E. Green and R.S. Rivlin, Multipolar Continuum Mechanics. Arch. Rat. Mech. Anal. 17 (1964) 113?147.
J.K. Knowles and E. Sternberg, On the Failure of Ellipticity and the Emergence of Discontinuous Deformation Gradients in Plane Finite Elastostatics. J. Elasticity 8 (1978) 329?379.
R. Hill and J.W. Hutchinson, Bifurcation Phenomena in the Plane Tension Test. J. Mech. Phys. Solids. 23 (1975) 239?264.
J.E. Dunn and J. Serrin, On the Thermodynamics of Interstitial Working, Arch. Rat. Mech. Anal. 88 (1985) 95?133.
M. Silhavy and E.C. Aifantis, Generalized Thermomechanics of Continua-I, preprint.
C. Truesdell and R.A. Toupin, The Classical Field Theories, in Encyclopedia of Physics Vol. 3/1, Springer (1960).
J.J. Cross, Mixtures of Fluids and Isotropic Solids. Arch. Mech. 25 (1973) 1024?1039.
R.M. Bowen, Theory of Mixtures, in Continuum Physics, Vol. III, Ed. A.C. Eringen, pp. 1?127, Academic Press (1976).
G. Ficherra, Existence Theorems in Elasticity, in Encyclopedia of Physics Vol. VIa/2, Springer (1970).
P.J. Blatz and W.L. Ko, Application of Finite Elastic Theory to the Deformation of Rubbery Materials Trans. Soc. Rheology Vol. 6, (1962) 223?251.