Rationalisation of the Tsai-Wu failure criterion
Rationalisation of the Tsai-Wu failure criterion
 
  The objective of this paper is to rationalise the empirical aspect of the Tsai-Wu failure criterion associated with the determination of the interactive strength property F12 based on the analytical geometry according to which the condition of closed failure envelope cannot be satisfied by all unidirectionally fibre reinforced composites (UD) and hence should be abandoned. Depending on the way the failure envelope opens, UD composites can be classified into two categories. (a) F12 can be determined uniquely using the conventional strength properties with an additional assumption that the material exhibit very high or infinite strength under triaxial compression at a specific stress ratio; or (b) The Tsai-Wu criterion lead to one of the two scenarios: either allowing infinite strength for an in-plane stress state or to allow infinite strength under infinite number of triaxial stress ratios, some involving tension along fibres. The rationalisation supplements the existing understanding with generic facts which have hitherto not been revealed. The validity of the new assumption can only be proven by experiments which are scarce. A call for relevant experimental data is generated though this paper in order to assess the likelihood of very high or infinite strength.
Analytical geometry, Failure criterion, Failure envelope, Hashin criterion, Triaxial compression, Tsai-Wu criterion, UD composites, Von mises criterion
  
    
      Li, Shuguang
      
        f99c53b3-e42e-456f-97df-4c4e06de4a40
      
     
  
    
      Sitnikova, Elena
      
        e0c2f901-24fe-43d0-88e8-76f415675104
      
     
  
    
      Liang, Yuning
      
        f05a1981-4a0a-4200-b589-9680d5c1b463
      
     
  
    
      Kaddour, Abdul Salam
      
        8c357fe6-5473-4a51-ba8c-9b01a4c16e76
      
     
  
  
   
  
  
    
      August 2017
    
    
  
  
    
      Li, Shuguang
      
        f99c53b3-e42e-456f-97df-4c4e06de4a40
      
     
  
    
      Sitnikova, Elena
      
        e0c2f901-24fe-43d0-88e8-76f415675104
      
     
  
    
      Liang, Yuning
      
        f05a1981-4a0a-4200-b589-9680d5c1b463
      
     
  
    
      Kaddour, Abdul Salam
      
        8c357fe6-5473-4a51-ba8c-9b01a4c16e76
      
     
  
       
    
 
  
    
      
  
  
  
  
    Li, Shuguang, Sitnikova, Elena, Liang, Yuning and Kaddour, Abdul Salam
  
  
  
  
   
    (2017)
  
  
    
    Rationalisation of the Tsai-Wu failure criterion.
  
  
  
  
    
    
    
      
        
   
  
    21st International Conference on Composite Materials, ICCM 2017, , Xi'an, China.
   
        
        
        20 - 25  Aug 2017.
      
    
  
  
  
      
          
           12 pp
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      Record type:
      Conference or Workshop Item
      (Paper)
      
      
    
   
    
      
        
          Abstract
          The objective of this paper is to rationalise the empirical aspect of the Tsai-Wu failure criterion associated with the determination of the interactive strength property F12 based on the analytical geometry according to which the condition of closed failure envelope cannot be satisfied by all unidirectionally fibre reinforced composites (UD) and hence should be abandoned. Depending on the way the failure envelope opens, UD composites can be classified into two categories. (a) F12 can be determined uniquely using the conventional strength properties with an additional assumption that the material exhibit very high or infinite strength under triaxial compression at a specific stress ratio; or (b) The Tsai-Wu criterion lead to one of the two scenarios: either allowing infinite strength for an in-plane stress state or to allow infinite strength under infinite number of triaxial stress ratios, some involving tension along fibres. The rationalisation supplements the existing understanding with generic facts which have hitherto not been revealed. The validity of the new assumption can only be proven by experiments which are scarce. A call for relevant experimental data is generated though this paper in order to assess the likelihood of very high or infinite strength.
        
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      Published date: August 2017
 
    
  
  
    
  
    
  
    
     
        Venue - Dates:
        21st International Conference on Composite Materials, ICCM 2017, , Xi'an, China, 2017-08-20 - 2017-08-25
      
    
  
    
  
    
  
    
     
        Keywords:
        Analytical geometry, Failure criterion, Failure envelope, Hashin criterion, Triaxial compression, Tsai-Wu criterion, UD composites, Von mises criterion
      
    
  
    
  
    
  
  
  
    
  
  
        Identifiers
        Local EPrints ID: 497709
        URI: http://eprints.soton.ac.uk/id/eprint/497709
        
        
        
        
          PURE UUID: d2cd8608-ace8-4a9f-b76e-f0b6339d17f4
        
  
    
        
          
        
    
        
          
            
              
            
          
        
    
        
          
        
    
        
          
        
    
  
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  Date deposited: 29 Jan 2025 18:35
  Last modified: 30 Jan 2025 03:32
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      Contributors
      
          
          Author:
          
            
            
              Shuguang Li
            
          
        
      
          
          Author:
          
            
              
              
                Elena Sitnikova
              
              
                 
              
            
            
          
         
      
          
          Author:
          
            
            
              Yuning Liang
            
          
        
      
          
          Author:
          
            
            
              Abdul Salam Kaddour
            
          
        
      
      
      
    
  
   
  
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