In this paper, we derive some analytical solutions of the Kamal cure rate differential equation. The Kamal model is a first order quasilinear ordinary differential equation, describing the progress of the curing reaction of several thermosetting polymers. All the examined cases refer to isothermal curing processes. The solutions obtained in this paper are all of implicit form. The derived solutions are applied to a repair technique based on the adhesive bonding of polymer matrix composite patches onto damaged or corroded areas. Critical duration times of realistic cure cycles corresponding to composite patch repair are estimated. The practical importance of the proposed analytic solutions is demonstrated through the presented engineering application.
Skip Nav Destination
e-mail: tsamasph@central.ntua.gr
e-mail: thpapath@lycos.com
e-mail: markos34@gmail.com
Article navigation
January 2009
Research Papers
Some Analytical Solutions of the Kamal Equation for Isothermal Curing With Applications to Composite Patch Repair
G. J. Tsamasphyros,
G. J. Tsamasphyros
Department of Theoretical and Applied Mechanics, School of Applied Mathematics and Physical Sciences,
e-mail: tsamasph@central.ntua.gr
National Technical University of Athens
, 9 Iroon Polytechniou Street, Zografou Campus, 15773 Athens, Greece
Search for other works by this author on:
Th. K. Papathanassiou,
Th. K. Papathanassiou
Department of Theoretical and Applied Mechanics, School of Applied Mathematics and Physical Sciences,
e-mail: thpapath@lycos.com
National Technical University of Athens
, 9 Iroon Polytechniou Street, Zografou Campus, 15773 Athens, Greece
Search for other works by this author on:
S. I. Markolefas
S. I. Markolefas
Department of Theoretical and Applied Mechanics, School of Applied Mathematics and Physical Sciences,
e-mail: markos34@gmail.com
National Technical University of Athens
, 9 Iroon Polytechniou Street, Zografou Campus, 15773 Athens, Greece
Search for other works by this author on:
G. J. Tsamasphyros
Department of Theoretical and Applied Mechanics, School of Applied Mathematics and Physical Sciences,
National Technical University of Athens
, 9 Iroon Polytechniou Street, Zografou Campus, 15773 Athens, Greecee-mail: tsamasph@central.ntua.gr
Th. K. Papathanassiou
Department of Theoretical and Applied Mechanics, School of Applied Mathematics and Physical Sciences,
National Technical University of Athens
, 9 Iroon Polytechniou Street, Zografou Campus, 15773 Athens, Greecee-mail: thpapath@lycos.com
S. I. Markolefas
Department of Theoretical and Applied Mechanics, School of Applied Mathematics and Physical Sciences,
National Technical University of Athens
, 9 Iroon Polytechniou Street, Zografou Campus, 15773 Athens, Greecee-mail: markos34@gmail.com
J. Eng. Mater. Technol. Jan 2009, 131(1): 011008 (7 pages)
Published Online: December 17, 2008
Article history
Received:
February 11, 2008
Revised:
September 5, 2008
Published:
December 17, 2008
Citation
Tsamasphyros, G. J., Papathanassiou, T. K., and Markolefas, S. I. (December 17, 2008). "Some Analytical Solutions of the Kamal Equation for Isothermal Curing With Applications to Composite Patch Repair." ASME. J. Eng. Mater. Technol. January 2009; 131(1): 011008. https://doi.org/10.1115/1.3026550
Download citation file:
Get Email Alerts
Cited By
Modeling Growth and Viscous Flow of Oxide on Cylindrical Silicon Surfaces Including Piezoviscous Inhibition
J. Eng. Mater. Technol (April 2025)
Thermal Conductivity of 3D-Printed Metal Using Extrusion-Based Metal Additive Manufacturing Process
J. Eng. Mater. Technol (April 2025)
Related Articles
Nonlinear Viscoelastic Constitutive Model for Thermoset Polymers
J. Eng. Mater. Technol (October,2006)
The Effect of Adhesive Curing Condition on Bonding Strength in Auto Body Assembly
J. Manuf. Sci. Eng (May,2005)
Differential Implementation of the Viscoelastic Response of a Curing Thermoset Matrix for Composites Processing
J. Eng. Mater. Technol (January,2006)
Investigation of Conductive Adhesive Bonding Using UV Curable Anisotropic Conductive Adhesives at Different Curing Conditions
J. Electron. Packag (March,2005)
Related Proceedings Papers
Related Chapters
Synthesis and Characterization of Carboxymethyl Chitosan Based Hybrid Biopolymer Scaffold
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
Conclusions
Chitosan and Its Derivatives as Promising Drug Delivery Carriers
Shear Property Measurements of Adhesives in Composite Material Bonded Joints
Composite Reliability