Authors:
            
                    Gabriele Milani
                    
                        
                                1
                            
                    
                     and
                
                    Federico Milani
                    
                        
                                2
                            
                    
                    
                
        
        
            Affiliations:
            
                    
                        
                                1
                            
                    
                    Politecnico di Milano, Italy
                
                    ; 
                
                    
                        
                                2
                            
                    
                    Chem. Co Consultant, Italy
                
        
        
        
        
        
             Keyword(s):
            Kinetic Numerical Model, EPDM Rubber, Peroxides, Comparison with Experimental Data.
        
        
            
                Related
                    Ontology
                    Subjects/Areas/Topics:
                
                        Application Domains
                    ; 
                        Case Studies
                    ; 
                        Chemical and Petroleum Engineering
                    ; 
                        Computer Simulation Techniques
                    ; 
                        Formal Methods
                    ; 
                        Health Engineering and Technology Applications
                    ; 
                        Laboratory Simulation Software
                    ; 
                        Mathematical Simulation
                    ; 
                        Neural Rehabilitation
                    ; 
                        Neurotechnology, Electronics and Informatics
                    ; 
                        Non-Linear Systems
                    ; 
                        Optimization Issues
                    ; 
                        Simulation and Modeling
                    ; 
                        Simulation Tools and Platforms
                    
            
        
        
            
                Abstract: 
                In the paper, a simple but effective mathematical model having kinetic base, to predict the vulcanization degree of rubber vulcanized with peroxides, is presented. The approach takes contemporarily into consideration, albeit within a simplified scheme, the actual reactions occurring during peroxidic curing, namely initiation, H-abstraction, combination and addition, and supersedes the simplified approach used in practice, which assumes for peroxidic curing a single first order reaction. After a suitable re-arrangement of the first order system of differential equations obtained from the actual kinetic system adopted, a single second order non-linear differential equation is obtained and numerically solved by means of a Runge-Kutta approach. Kinetic parameters to set are evaluated by means of a standard least squares procedure where target data are represented by experimental values available, i.e. normalized rheometer curves. In order to assess numerical results, a wide experimental 
                campaign is conducted, varying curing agents, vulcanization temperatures and concentration of the peroxides. Both rheometer curves to compare with those provided by the numerical model and stretch-strain curves of the vulcanized samples are obtained, to have a precise insight into the most suitable parameters to use during curing.
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