NECKING PHENOMENA IN THIN METALLIC SHEETS: EXPERIMENTAL TESTS AND COMPUTATIONAL ANALYSIS

M. Buonsanti, S. Calcagno, F.C. Morabito, and M. Versaci

References

  1. [1] J.L. Ericksen, Equilibrium of bar, International Journal of Elasticity, 5(2), 1975, 191–201. doi:10.1007/BF00126984
  2. [2] J. Bell, The experimental foundations of solid mechanics(Mechanics of Solids, vol. 1, ed. C. Truesdell) (New York: Springer, 1984).
  3. [3] P. Pedregal, Variational Methods in Nonlinear elasticity (SIAM, Philadelphia), 2000.
  4. [4] L. Carboni & R. De Arcangelis, Unbounded functional in the calculus of variations, Monographs and Surveys in Pure and Applied Mathematics, 125 (Chapman Hall, Norwell, MA 02061, USA, 2001).
  5. [5] M. Silhavy, The mechanics and thermics of continuous media, (Springer, Berlin, 1997).
  6. [6] A. Braides, Gamma-convergence for beginners (Oxford University Press, 2002).
  7. [7] J. Pavo, A. Gasparics, G. Sebestyen, G. V`ertesy, C.S. Daroczi, & K. Miya, Eddy current testing with fluxset probe, Proc. Applied Electromagnetics and Mechanics, JSAEM, Tokyo, Japan, 1996, 205–211.
  8. [8] R.W. Ogden, Nonlinear elastic deformations, Ellis Horwood Series in Mathematics & Its Applications (Dover Publications, 1984).
  9. [9] A. Fultz et al., Mathematics of microstructure evolution (SIAM, London, 1995).
  10. [10] A. Nadai, Theory of flow and fracture, vol. 1 (New York: McGraw Hill, 1950).
  11. [11] I. Muller & P. Villaggio, A model for an elastic plastic body, International Journal of Archive for Rational Mechanics and Analysis, 65, 1977, 25–56. doi:10.1007/BF00289355
  12. [12] J. Ball, Convexity conditions and existence theorems in non-linear elasticity, International Journal of Archive for Rational Mechanics and Analysis, 100, 1977, 337–403.
  13. [13] A. Coleman & D.C. Newman, Mechanics of neck formationin the cold drawing of elastic films, Polymer Engineering and Science, 30, 1990, 1299–1302. doi:10.1002/pen.760302006
  14. [14] B. Coleman, Necking and drawing in polymeric fibers under tension, International Journal of Archive for Rational Mechanics and Analysis, 83, 1987, 115–137.
  15. [15] J.A. Shaw & S. Kyriakides, Initiation and propagation of localized deformation in elasto-plastic strips under uniaxial tension, International Journal of Plasticity, 13(10), 1998, 837–871. doi:10.1016/S0749-6419(97)00062-4
  16. [16] J. Carr, M. Gurtin, & M. Slemrod, Structured phase transition on a finite interval, International Journal of Archive for Rational Mechanics and Analysis, 86, 1984, 317–351. doi:10.1007/BF00280031
  17. [17] G. Alberti, Variational models for phase transitions: An approach via Γ-convergence, Lecture notes for summer school class on differential equations and calculus of variations, Pisa, 1996, 16–28.
  18. [18] J. Blitz, Electric and magnetic methods of non-destructive testing, 2nd ed. (London: Chapman & Hall, 1997).
  19. [19] F.C. Morabito et al., Ill-posed problems in electromagnetics: Advantages of neuro-fuzzy approaches (CD-Rom), Proc. 2nd Int. Symp. on Neuro-Fuzzy Systems, EPFL, Lausanne, 1996, 276–282.
  20. [20] M. Matsukawa, Application of regression analysis to deriving measurements formulas for feedback control of plasma shape in JT-60, Plasma Physics and Controlled Fusion, 34(6), 1992, 907–921. doi:10.1016/0741-3335(92)90091-J
  21. [21] M. Sugeno, Application of fuzzy logic to approximate reasoning using linguistic synthesis, IEEE Trans. Computers, 26(12), 1977, 1182–1191. doi:10.1109/TC.1977.1674779
  22. [22] M. Sugeno, Industrial application of fuzzy control (Elsevier Science, Osaka, 1985).
  23. [23] R. Jang, ANFIS: Adaptive-network-based fuzzy inference systems, IEEE Trans. on Systems, Man, and Cybernetics, 23(3), 1993, 665–685. doi:10.1109/21.256541

Important Links:

Go Back