page_title: Bresler–Pister yield criterion
hierarchical_section_title: Bresler–Pister yield criterion
caption_attribution_description: English: View of the three-parameter Bresler-Pister yield surface in 3D space of principal stresses for σc = 1,σt = 0.3,σb = 1.7
context_page_description: The Bresler–Pister yield criterion is a function that was originally devised to predict the strength of concrete under multiaxial stress states. This yield criterion is an extension of the Drucker–Prager yield criterion and can be expressed on terms of the stress invariants as
  where is the first invariant of the Cauchy stress, is the second invariant of the deviatoric part of the Cauchy stress, and are material constants.
  Yield criteria of this form have also been used for polypropylene and polymeric foams.
  The parameters have to be chosen with care for reasonably shaped yield surfaces. If is the yield stress in uniaxial compression, is the yield stress in uniaxial tension, and is the yield stress in biaxial compression, the parameters can be expressed as
context_section_description: The Bresler–Pister yield criterion is a function that was originally devised to predict the strength of concrete under multiaxial stress states.  This yield criterion is an extension of the Drucker–Prager yield criterion and can be expressed on terms of the stress invariants as
  where  is the first invariant of the Cauchy stress,  is the second invariant of the deviatoric part of the Cauchy stress, and  are material constants.
  Yield criteria of this form have also been used for polypropylene  and polymeric foams.
  The parameters  have to be chosen with care for reasonably shaped yield surfaces.  If  is the yield stress in uniaxial compression,  is the yield stress in uniaxial tension, and  is the yield stress in biaxial compression, the parameters can be expressed as
caption: Figure 1: View of the three-parameter Bresler–Pister yield surface in 3D space of principal stresses for 
    
      
        
          
            σ
            
              c
            
          
          =
          1
          ,
          
            σ
            
              t
            
          
          =
          0.3
          ,
          
            σ
            
              b
            
          
          =
          1.7
        
      
      {\displaystyle \sigma _{c}=1,\sigma _{t}=0.3,\sigma _{b}=1.7}
exif: {}