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Spring III

This is a simple one dimensional one element example to show how to use *MAT_SPRING_GENERAL_NONLINEAR keyword. Two different curves for describing force versus displacement during loading and unloading are given. Initial yield forces in tension and in compression are specified. Isotropic hardening without strain softening is chosen. Download is available in the download section of this document.

Keywords

Keywords

This example has been taken from the introductory class of Prof. Dr. Ala Tabiei. Example name: gnonspring.k

The used Keywords in alphabetical order. 

*BOUNDARY_PRESCRIBED_MOTION_NODE
*BOUNDARY_SPC_NODE
*CONTROL_TERMINATION
*DATABASE_BINARY_D3PLOT
*DATABASE_DEFORC
*DATABASE_GLSTAT
*DATABASE_HISTORY_NODE_SET
*DATABASE_NODOUT
*DEFINE_CURVE
*ELEMENT_DISCRETE
*ELEMENT_MASS
*END
*KEYWORD
*MAT_SPRING_GENERAL_NONLINEAR
*NODE
*PART
*SECTION_DISCRETE
*SET_NODE_LIST
*TITLE

Reduced Input

Reduced Input

This example has been taken from the introductory class of Prof. Dr. Ala Tabiei. Example name: gnonspring.k

*Node and *Element Cards are removed. 

  *KEYWORD
  *TITLE
  GENERAL_NONLINEAR
  $---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
  *CONTROL_TERMINATION
     2.0E-01 
  *DATABASE_BINARY_D3PLOT
        0.02
  *DATABASE_DEFORC
     1.0E-04
  *DATABASE_GLSTAT              
   4.000E-04
  *DATABASE_HISTORY_NODE_SET
           1
  *SET_NODE_LIST
           1
           2
  *DATABASE_NODOUT
   0.100E-03
  $---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
  *NODE
         1 0.000000000E+00 0.000000000E+00 0.000000000E+00
         2 1.000000000E+03 0.000000000E+00 0.000000000E+00
  $---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
  *SECTION_DISCRETE  
           1         0
   0.0000000 0.0000000
  $---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
  *MAT_SPRING_GENERAL_NONLINEAR
  $      MID      LCDL      LCDU      BETA       TYI      CYI
           1         6         5       1.0     50.0   -50.0
  $---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
  *PART
  Spring-Damper Part Definition
           1         1         1
  $---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
  *ELEMENT_DISCRETE
         1       1       1       2
  $---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
  *BOUNDARY_SPC_NODE
           1         0         1         1         1         1         1         1
  *BOUNDARY_PRESCRIBED_MOTION_NODE
           2         1         2        99 -1.00E+00
  $---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
  *DEFINE_CURVE
          99
  $
  *DEFINE_CURVE
           6
  $
  *DEFINE_CURVE
           5
  $
  $---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
  *ELEMENT_MASS
         2       1     1.00000E-06
         3       2     1.00000E-06 
  *END

Figures

Figures

This example has been taken from the introductory class of Prof. Dr. Ala Tabiei. Example name: gnonspring.k

image01.gif

image02.gif

Animated Result

Animated Result

This example has been taken from the introductory class of Prof. Dr. Ala Tabiei. Example name: gnonspring.k

Result

Download

Download

This example has been taken from the introductory class of Prof. Dr. Ala Tabiei. Example name: gnonspring.k