The decrease of volume during loading to finite plastic strain

Meccanica

Volumn 31, Issue 5, 1996, Pages 461-472

  Bell, James F ^a  

^a JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

Finite strain; Plasticity; Thermomechanics of continua

Indexed keywords

COMPRESSIBILITY; CONTINUUM MECHANICS; PLASTIC DEFORMATION; STEEL; STRAIN;

FINITE STRAIN; RIGID BODY ROTATION;

PLASTICITY;

EID: 0030261424     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00420818     Document Type: Article

References (23)

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2. Tresca, Henri E., 'Mémoire sur l'écoulement des corps solides', Mémoires Presentés par Divers Savants, Académie des Sciences, Paris, second series 20 (1872) 75-135.
3. Bridgman, Percy W., 'Studies of plastic flow of steel, especially in two-dimensional compression', J. Appl. Physics, 17 (1946) 225-243.
4. Bridgman, Percy W., 'Volume changes in the plastic stages of simple compression', Journal of Applied Physics, 20 (1949) 1241-1251.
5. Truesdell, C. and Noll, W., 'The non-linear field theories of mechanics', Handbuch der Physik, III/3, Springer-Verlag, Berlin, 1965.
6. Bell, James F., The Physics of Large Deformation of Crystalline Solids, Springer Tracts in Natural Philosophy, Vol. 14, Springer-Verlag, Berlin, 1968.
7. Bell, James F., 'The experimental foundations of solid mechanics', Handbuch der Physik, V1a/1, Springer-Verlag 1973.
8. [Reprinted with title: Mechanics of Solids, Volume 1: The Experimental Foundations of Solid Mechanics, Springer-Verlag 1984.
9. Also, Russian translation (two volumes) of The Handbuch der Physik, Vol. VIa/1. Moscow, NAUKA, 1984.]
10. Bell, James F., 'A physical basis for continuum theories of finite strain plasticity: Part I', Archive for Rational Mechanics and Analysis, 70 (1979) 319-338.
11. Bell, James F., 'A physical basis for continuum theories of finite strain plasticity: Part II', Archive for Rational Mechanics and Analysis, 75 (1981) 103-126.
12. Bell, James F., 'Continuum plasticity at finite strain for stress paths of arbitrary composition and direction', Archive for Rational Mechanics and Analysis, 84(2), (1983), 139-170.
13. [Reprinted, pp. 201-232, in The Breadth and Depth of Continuum Mechanics: A Collection of Papers Dedicated to J. L. Ericksen, ed. C. M. Dafermos, D. D. Joseph, and F. M. Leslie, Springer-Verlag, Berlin, 1983.]
14. Bell, James F., 'Finite plastic strain in annealed mild steel during proportional and non-proportional loading', International Journal of Solids and Structures, 19(10), (1983) 857-872.
15. Bell, James F., 'Contemporary perspectives in finite strain plasticity', International Journal of Plasticity, 1(1), (1985) 3-27.
16. Bell, James F., 'Plane stress, plane strain and pure shear at large finite strain', International Journal of Plasticity, 4 (1988) 127-148.
17. Bell, James F., 'Experiments on the kinematics of large plastic strain in ordered solids', International Journal of Solids and Structures, 25(3), (1989) 267-278.
18. Bell, James F., 'Material objectivity in an experimentally based incremental theory of large finite plastic strain', International Journal of Plasticity, 6 (1990) 293-314.
19. Bell, James F., 'Large deflection, rotation, and plastic strain in cantilevered beams', International Journal of Engineering Science, 28(3), (1990) 231-239.
20. Beatty, Millard F. and Hayes, Michael J., 'Deformations of an elastic, internally constrained material: Part 1: Homogeneous deformations', Journal of Elasticity, 29 (1992) 1-84.
21. T', International Journal of Plasticity; 10(8), (1995).
22. Bell, James F., Forthcoming manuscript; sequel to the present paper. *
23. Bell, James F. and Baesu, Eveline, 'On the symmetry and coaxiality of pertinent stretch and stress tensors during non-proportional loading at finite plastic strain', Acta Mechanica, 115 (1996) 1-14.