Antiplane shear | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-06-02

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Antiplane_shear


00:00:45 1 Displacements
00:02:12 2 Stresses
00:04:31 3 Equilibrium equation for antiplane shear
00:06:34 4 Applications



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SUMMARY
=======
Antiplane shear or antiplane strain is a special state of strain in a body.  This state of strain is achieved when the displacements in the body are zero in the plane of interest but nonzero in the direction perpendicular to the plane.  For small strains, the strain tensor under antiplane shear can be written as

  
    
      
        
          ε
        
        =
        
          
            [
            
              
                
                  0
                
                
                  0
                
                
                  
                    ϵ
                    
                      13
                    
                  
                
              
              
                
                  0
                
                
                  0
                
                
                  
                    ϵ
                    
                      23
                    
                  
                
              
              
                
                  
                    ϵ
                    
                      13
                    
                  
                
                
                  
                    ϵ
                    
                      23
                    
                  
                
                
                  0
                
              
            
            ]
          
        
      
    
    {\displaystyle {\boldsymbol {\varepsilon }}={\begin{bmatrix}0&0&\epsilon _{13}\\0&0&\epsilon _{23}\\\epsilon _{13}&\epsilon _{23}&0\end{bmatrix}}}
  where the 
  
    
      
        12
        
      
    
    {\displaystyle 12\,}
   plane is the plane of interest and the 
  
    
      
        3
        
      
    
    {\displaystyle 3\,}
   direction is perpendicular to that plane.