ReCircSecw1dMat

Purpose

response of reinforced circular section with uniaxial materials

Synopsis

SecResp = ReCircSecw1dMat (action,SecNo,ndm,SecData,SecState)

Description

RECIRCSECw1dMAT response of reinforced circular section with uniaxial materials    
  SECRESP = RECIRCSECw1dMAT (ACTION,SECNO,NDM,SECDATA,SECSTATE)
  the function determines the response of a reinforced circular section with uniaxial materials
      by midpoint integration in y-direction for 2d, and in y- and z- direction for 3d response
     (section resisting forces are N-Mz for NDM=2 and N-Mz-My for NDM=3)
  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  When the character variable ACTION has one of the following values,
  the function performs the listed operations and returns the results in SECRESP:
  ACTION = 'chec': check section property data for omissions and assign default values
           'init': initialize section history variables
           'forc': report section resisting forces
           'stif': report section stiffness matrix and resisting forces
           'post': report post-processing information
  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  The data structure SECRESP stands for the following data object(s) for each ACTION:
  SECRESP = SECDATA    for action = 'chec'
  SECRESP = SECSTATE   for action = 'init'
  SECRESP = SECSTATE   for action = 'stif'
  SECRESP = SECSTATE   for action = 'forc'
  SECRESP = SECPOST    for action = 'post'
  SECRESP is empty     for unsupported keywords
  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  SECDATA is a data structure with section property information; it has the fields
         R(1:2)   = outer radius and inner radius of section (default = R(1) only)
         cv(1:2)  = outer/inner cover (default=[0,0])
         nr       = no of integration points (fibers) for core in radial direction (default=5)(thus 2 x nr across diameter)
         nth      = no of integration points (fibers) for core in circumferential direction (used for 3d only),(default=12) 
         nrc      = no of integration points (fibers) for cover in radial direction (default=5)
         ntc      = no of integration points (fibers) for cover in circumferential direction (default=12)
         MatName  = cell array with function names for uniaxial stress-strain relations (1=core,2=cover)
         MatData  = cell array with properties for uniaxial stress-strain relations (1=core,2=cover)
         BMatName = function name for uniaxial stress-strain relation of reinforcing bars
         BMatData = data structure with material property data for reinforcing bars
         BarAyz   = array with y-z coordinates and area of each reinforcing bar;
                    y-coordinate in first column, z-coordinate in second, area in third 
  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  SECSTATE is a data structure with information about the current section state; it has the fields
         e     = vector of total section deformations
         De    = vector of section deformation increments from last convergence
         DDe   = vector of section deformation increments from last iteration
         edot  = vector of section deformation rates
         ks    = section stiffness matrix; returned under ACTION = 'stif'
         s     = section resisting force vector; returned under ACTION = 'stif' or 'forc'
         Past  = section history variables at last converged state
         Pres  = current section history variables
  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  SECPOST is a data structure with section response information for post-processing; it has the fields
         e      = section deformations
         s      = section force resultants
         Mat{i} = material response information for post-processing (see material function with MatName)

Cross-Reference Information

This function calls:

• Extract_Sec2MatState extract material state from section state
• Create_IPMesh4Circ integration point coordinates, weights and material IDs for circular disc or annulus