Page 121 - Template Tesis UTM v2.0
P. 121

     
                                                        =         (  )                           (3.9)
                                                                  
                                                        
                                                                 

                                                       −2         
                                                    =        ∫      (  )                       (3.10)
                                                                   
                                                    
                                                              0


                                                           (  )  −2     
                                                 ̇ (  ) =    =          (  )                   (3.11)
                                                  
                                                                        
                                                                    

                   Where ;



                         - Stress
                       
                         - Strain
                      
                     ̇    - Strain-rate
                      
                        - Cross-sectional area of the bar
                       
                        - Cross-sectional area of the specimen
                       
                         - Young’s modulus of the bar

                         - Length of the specimen
                         - Axial strain of the transmitted pulse
                      
                         - Axial strain of the reflected pulse
                      
                        - Wave velocity of the bar
                       


                   Fundamental wave velocity of the bar can be determined using Equation 3.12.



                                                                    
                                                           = √                                 (3.12)
                                                           
                                                                    


                   Where ;


                        - Wave velocity of the bar
                       
                        - Young’s modulus of the bars
                       
                        - Density of the bars
                       



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