InelJ2PwLHPlnStrs2dMat

Purpose

inelastic 2d material with J2 plasticity and linear hardening under plane stress

Synopsis

MatResp = InelJ2PwLHPlnStrs2dMat (action,MatNo,MatData,MatState)

Description

INELJ2PwLHPLNSTRS2DMAT inelastic 2d material with J2 plasticity and linear hardening under plane stress
  MATRESP = INELJ2PwLHPLNSTRS2DMAT (ACTION,MAT_NO,MATDATA,MATSTATE)
  function determines the stress-strain relation for inelastic 2d material with J2 yield surface
           and isotropic and kinematic hardening under general plane stress conditions
  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  the character variable ACTION should have one of the following values
  ACTION = 'chec' function checks material property data for omissions and returns default values in MATDATA
           'data' function prints material properties in output file IOW
           'hist' function returns the material history variables in MATSTATE
           'forc' function returns the material stress (tensor) in MATSTATE
           'stif' function returns the material tangent modulus and the stress (tensor) in MATSTATE
           'post' function returns data structure MATPOST with post-processing information
  depending on the value of character variable ACTION the function returns information in data structure MATRESP
  for the material with number MAT_NO; data structure MATDATA supplies the material property data
  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  data structure MATRESP stands for one of the following data objects depending on value of ACTION 
  MATRESP = MATDATA   for action = 'chec'
  MATRESP = MATSTATE  for action = 'hist'
  MATRESP = MATSTATE  for action = 'stif'
  MATRESP = MATSTATE  for action = 'forc'
  MATRESP = MATPOST   for action = 'post'
  MATRESP is empty    for action = 'data' and for unsupported keywords
  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  MATSTATE is a data structure with information about the current material state in fields
         eps     = total strain tensor in 4x1 vector form in the order 11, 22, 33, 12
         Deps    = strain increments from last convergence
         DDeps   = strain increments from last iteration
         epsdot  = strain rate tensor in 4x1 vector form in the order 11, 22, 33, 12
         km      = material stiffness matrix; returned under ACTION = 'stif'
         sig     = stress tensor in 4x1 vector form; returned under ACTION = 'stif' or 'forc'
         Past    = material history variables at last converged state
         Pres    = current values of material history variables
  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  MATDATA is a data structure with material property information; it has the fields
         E       = initial modulus
         fy      = yield strength
         nu      = Poisson ratio
         Hi      = isotropic hardening modulus
         Hk      = kinematic hardening modulus
         irs     = stress components to be retained
         MatTol  = tolerance value for stress condensation
         maxiter = maximum number of iterations for for stress condensation
  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  MATPOST is a data structure with material response information for post-processing in fields
         eps   =         strain tensor in 4x1 vector form in the order 11, 22, 33, 12
         sig   =         stress tensor in 4x1 vector form in the order 11, 22, 33, 12
         eps_p = plastic strain tensor in 4x1 vector form in the order 11, 22, 33, 12

Cross-Reference Information

This function calls:

• InelJ2PwLH3dMat inelastic 3d material model with J2 plasticity and linear kinematic and isotropic hardening
• Condense_k condense matrix K to a reduced set idr of dofs by condensing out dofs idc