Nonlinear exothermic contributions to radio-frequency bonding of adhesives

Nonlinear Analysis: Real World Applications

Volumn 2, Issue 3, 2001, Pages 357-386

  Banks, H T ^a   Choi, M G ^a   Durso, S R ^b   Ito, K ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b LORD CORPORATION   (United States)

Author keywords

Existence and uniqueness; Nonlinear thermal processes; Operator splitting; Radio frequency electromagnetic bonding

Indexed keywords

EID: 0035457478     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)00110-3     Document Type: Article

References (12)

1. B.R. Baliga, P.L. Rose, A.M. Ahmed, Thermal modeling of polymerizing polymethylmethacrylate, considering temperature-dependent heat generation, J. Biomech. Eng. 114 (1992) 251-259.
2. H.T. Banks, S.R. Durso, M.A. Goodhart, M.L. Joyner, On the radio-frequency inputs in dipolar heating of adhesives, Tech. Rep. CRSC-TR98-3, NCSU, January, 1998.
3. A. Bejan, Heat Transfer, Wiley, New York, 1993.
4. M.G. Choi, Analysis and Implementation of a Model for Radio-frequency Bonding of Adhesives in Composites, Ph.D. Thesis, N.C. State University, September 1999.
5. P. Constantin, C. Foias, Navier-Stokes Equations, University of Chicago Press, Chicago, 1988.
6. S.J. Hammarling, Numerical solution of the stable, non-negative definite Lyapunov equation, in: R.V. Patel, et al., (Eds.), Numerical Linear Algebra Techniques for Systems and Control, IEEE Press, New York, 1993, pp. 500-516.
7. F.P. Incropera, D.P. Dewitt, Fundamentals of Heat and Mass Transfer, Wiley, New York, 1985.
8. P.L. Lions, B. Mercier, Splitting algorithms for the sum of two nonlinear operators, SIAM J. Numer. Anal. 16 (1979) 964-979.
9. G.W. Malaczynski, Adhesive processing by electromagnetic irradiation, Polym. Eng. Sci. 28 (1988) 1270-1274.
10. G.W. Malaczynski, G.J. Cinpinski, Selection of adhesive system for radio-frequency heating of structural sheet molding compound components, Polym. Eng. Sci. 36 (1996) 106-116.
11. J. Wloka, Partial Differential Equations, Cambridge University Press, Cambridge, 1992.
12. N.N. Yanenko, The Method of Fractional Steps, Springer, New York, 1971.