Abstract
Two earlier papers on finite strain plasticity in this Archive (Bell {1979} {1981}) had as objectives, first, to draw from experiment to propose and to respond to a series of questions bearing not only on common assumptions in classical plasticity theory but also on general hypotheses feasible in a physically based theory of finite plastic strain. The second objective, engendered by a summary of three decades of experimental research on large deformation in this writer’s laboratory, was to proffer a theory of plasticity which would codify and correlate observations from more than 3 000 tests from 30 types of experiment on 50 different ordered solids.
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Tresca, Henri E.: Mémoire sur l’Écoulement des Corps Solides. Mémoires Présentées par Divers Savants, Académie des Sciences, Paris, 18, 733–799.
Taylor, Geoffrey Ingram, & Quinney, H.: The Plastic Distortion of Metals. Phil. Trans. Royal. Soc,, London, Ser. A, 230, 323–362.
Taylor, Geoffrey Ingram, & Quinney, H.: The Latent Energy Remaining in a Metal after Cold Working. Proc. Royal Soc., A, CXLIII, 307–326.
Davis, Evan A.: Increase of Stress with Permanent Strain and Stress-Strain Relations in the Plastic State for Copper under Combined Stresses. J. Appl. Mech., 10, A-187 to A-196.
Bridgman, Percy W.: Studies of Plastic Flow of Steel, especially in Two-dimensional Compression. J. Appl. Physics, 17, 225–243.
Hill, Rodney: The Mathematical Theory of Plasticity. Oxford, England: Clarendon Press, Oxford Engineering Series.
Phillips, Aris, & Gray, G. A.: Experimental Investigation of Corners of the Yield Surface. Trans. A.S.M.E., Ser. D. Jnl. Basic Engineering, 83, 275–288.
Bell, James F., & Werner, W. MEADE: Applicability of the Taylor Theory of the Polycrystalline Aggregate to Finite Amplitude Wave Propagation in Annealed Copper. J. Appl. Physics, 33, No. 8, 2416–2425.
Bell, James F.: A Generalized Large Deformation Behavior for Face-Centred Cubic Solids-High Purity Copper, Phil. Mag. 10, No. 103, 107–126.
Truesdell, C, & Noll, W.: The Non-Linear Field Theories of Mechanics. Handbuch der Physik, III/3, 1-602. Berlin-Heidelberg-New York: Springer-Verlag.
Bell, James F.: The Physics of Large Deformation of Crystalline Solids. Springer Tracts in Natural Philosophy, Vol.14. Berlin-Heidelberg-New York: Springer-Verlag.
Phillips, Aris: Yield Surfaces of Pure Aluminum at Elevated Temperatures. Proc. of the IUTAM Symposium, East Kilbride; 241–258.
Hartman, William F.: Propagation of Large Amplitude Waves in Annealed Brass. International Jnl. Solids and Structures, 5, 303–317.
Mittal, Ramesh: Biaxial Loading of Aluminum and a Generalization of the Parabolic Law. Jnl. Materials, 6, No. 1, 67–81.
Phillips, Aris, & Tang, Juh-Ling: The Effect of Loading Path on the Yield Surface at Elevated Temperatures. International Jnl. Solids and Structures, 8, No. 4, 463–474.
Bell, James F.: The Experimental Foundations of Solid Mechanics. Handbuch der Physik, VIa/1, 1-813. Berlin-Heidelberg-New York: Springer-Verlag.
Moon, Hahngue: An Experimental Study of Incremental Response Functions in the Totally Plastic Region. Acta Mechanica, 23, 49–63.
Moon, Hahngue: An Experimental Study of the Outer Yield Surface for Annealed Polycrystalline Aluminum. Acta Mechanica, 24, 191–208.
Bell, James F.: A Physical Basis for Continuum Theories of Finite Strain Plasticity: Part I. Archive for Rational Mechanics and Analysis, 70, 319–338.
Bell, James F., & Khan, Akhtar S.: Finite Plastic Strain in Annealed Copper during Non-Proportional Loading. International J. Solids and Structures, 16, 683–693.
Bell, James F.: A Physical Basis for Continuum Theories of Finite Strain Plasticity: Part II. Archive for Rational Mechanics and Analysis, 75, 103–126.
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Dedicated, for his sixtieth birthday, to a dear friend, Jerald L. Ericksen, whose mastery of every aspect of continuum mechanics is beyond ordinary comprehension.
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© 1986 Springer-Verlag Berlin Heidelberg
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Bell, J.F. (1986). Continuum Plasticity at Finite Strain for Stress Paths of Arbitrary Composition and Direction. In: The Breadth and Depth of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61634-1_9
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DOI: https://doi.org/10.1007/978-3-642-61634-1_9
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