General Mechanical

General Mechanical

Disparities in Peak stress – Uniaxial vs Flexural loading conditions

    • Babaloluwa Popoola
      Subscriber

      Hello, I was able to define non-linear material properties for concrete using APDL commands provided by Professor Brock D. Hedegaard as a base in Ansys Mechanical. The parameters are for a "Drucker-Prager Microplane plasticity " model and attached below is the code:

      /PREP7
       
      ! Step 1: Define elastic properties of material
      E = 30000           ! Young's Modulus, MPa
      nu = 0.2            ! Poisson's Ratio, unitless
       
      ! Step 2: Define microplane model properties 
      !  - Approximations and typical ranges per intuition... your concrete may be different!
      fc = 80            ! Uniaxial compressive strength, MPa
      fb = 92             ! Biaxial compressive strength, MPa         (estimate as 1.15*fc if unknown)
      ft = 2            ! Tensile strength, MPa                     (estimate as 0.1*fc if unknown)
      Rt = 1              ! Tension cap hardening constant, unitless  (typically = 1)
      D = 20e4            ! Compressive hardening constant, MPa^2     (typically between 1e4 and 50e4)
      sigma_cv = -32      ! Int. of comp. cap and DP yield, MPa       (always negative, approximately -2/3*fb or lower)
      Rc = 2              ! Compression cap ratio constant, unitless  (typically = 2)
      gamma_t = 0         ! Tensile damage threshhold, unitless       (typically = 0)
      gamma_c = 5e-5      ! Compressive damage threshhold, unitless   (typically between 1e-5 to 10e-5)
      beta_t = 6000       ! Tension damage evolution, unitless        (typically 1.5*beta_c)
      beta_c = 4000       ! Compression damage evolution, unitless    (typically between 1000 and 10000)
       
      ! Step 3: Define nonlocal parameters c and m
      c = 650             ! Nonlocal range parameter, mm^2            (element size should be < 0.5*sqrt(c))
      m = 2               ! Over-nonlocal parameter, unitless         (typically 1 to 3)
       
      ! Step 4: Select element type
      element = 215       ! Element type number (Linear = 215, Quadratic = 216)
       
       
      ! ===================================================================
      ! You should not need to change code below this point, unless
      ! you are debugging, modifying, or otherwise know what you are doing
      ! ===================================================================
       
      ! Assign Elastic Properties 
      MP,EX,conc,E       ! Assign Young's Modulus
      MP,NUXY,conc,nu    ! Assign Poisson's Ratio
       
      ! Assign microplane properties for coupled damaged-plasticity (MPLANE-DPC)
      TB,MPLANE,conc,,,DPC
      TBDATA,1,fc,fb,ft,Rt,D,sigma_cv
      TBDATA,7,Rc,gamma_t,gamma_c,beta_t,beta_c
       
      ! Assign nonlocal properties to microplane model (MPLANE-NLOCAL)
      TB,MPLANE,conc,,,NLOCAL
      TBDATA,1,c,m
       
      ! Define coupled elements (this code assumes ITYPE = matid, which it should be in almost all cases)
      itype = conc
       
      et,itype,element
      keyopt,itype,18,2     ! Element needs 2 nonlocal parameters for keyopt(18) 
       
      ! Switch element type of those that are assigned Concrete
      esel,s,mat,,conc
      emodif,all,type,itype
       
      ! To check that everything worked out, print the element list
      allsel
      etlist,all
       
      ! Now proceed to the solution and output all results
      /SOLU
      outres,all,all
       
       
      -Trying to validate the defined parameters, I modelled a generic beam and subjected it to uniaxial and flexural deflection schemes.
      The uniaxial loading conditions gave the expected results, with both compressive and tensile stress values peaking at the defined strength parameters before softening occurred. I have attached images below:
       

      Fig.1 Peak compression

      Fig.2 Peak tension

       

      -In contrast, flexural loading conditions give results for peak normal stress which significantly exceed defined parameters, even after varying the applied displacement on the beam.

       

      Fig .3 Peak compressive and tensile stresses for the flexural loading condition.

      It is my understanding that the normal stress in the z-direction is composed of Tensile and compressive stresses beneath and above the neutral axis respectively. I would appreciate feedback on possible errors in my assumptions or potential reasons for the disparities in results.

      Thanks in Advance. 

    • Ashish Khemka
      Ansys Employee

      Hi,

      Please see if the following links might help you:

       

      ">Concrete Microplane Model - FEA using ANSYS - Lesson 10 - YouTube

      Concrete Material Model (ansys.com)

      Query regarding Validation of Technology Showcase Example 54 by ANSYS?

       

      Regards,

      Ashish Khemka

  • Babaloluwa Popoola
    Subscriber

    Thanks for the provided links and response Ashish

    The apdl commands used in the youtube video served as the base for the one I used. The displacement applied to the beam in the video induced a peak stress which was below the defined yield stress, whereas in my analysis I'm trying to investigate the behaviour of the material when damage/softening occurs.

    I also went through the other links and found the information very useful, however, none of the changes I made seem to address the large variations in peak stress when comparing both systems, even after I varied damage parameters.

  • Babaloluwa Popoola
    Subscriber

    Thanks for the provided links and response Ashish

    The apdl commands used in the youtube video served as the base for the one I used. The displacement applied to the beam in the video induced a peak stress which was below the defined yield stress, whereas in my analysis I'm trying to investigate the behaviour of the material when damage/softening occurs.

    I also went through the other links and found the information very useful, however, none of the changes I made seem to address the large variations in peak stress when comparing both systems, even after I varied damage parameters. 

     

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