calcmatb.F

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C----------------------------------------------------------------
C compute the left cauchy green MATB in 3 steps:
C INVFPO = INVERSE (FP)
C FE = F * INVFPO
C MATB = FE * FET 
!||====================================================================
!||    calcmatb    ../engine/source/materials/mat/mat100/calcmatb.F
!||--- called by ------------------------------------------------------
!||    sigeps100   ../engine/source/materials/mat/mat100/sigeps100.F90
!||    sigeps95    ../engine/source/materials/mat/mat095/sigeps95.F
!||--- calls      -----------------------------------------------------
!||    kmatinv3    ../engine/source/materials/tools/kmatinv.F
!||    prodaat     ../engine/source/materials/tools/prodAAT.F
!||    prodmat     ../engine/source/materials/tools/prodmat.F
!||====================================================================
       SUBROUTINE calcmatb (NEL, F, FP, MATB)    
C-----------------------------------------------
C   I M P L I C I T   T Y P E S
C-----------------------------------------------
#include "implicit_f.inc"
C----------------------------------------------------------------
C  I N P U T   A R G U M E N T S
C----------------------------------------------------------------
      INTEGER       NEL  
      my_real
     .    f(nel, 3,3),    fp(nel, 3,3)   
C----------------------------------------------------------------
C  O U T P U T   A R G U M E N T S
C----------------------------------------------------------------
      my_real
     .       matb(nel, 3,3) 
C----------------------------------------------------------------
      my_real
     . invfpo(nel, 3,3) , fe(nel, 3,3)
C----------------------------------------------------------------
      
       !COMPUTE FP viscous GRADIENT OF DEF
       !------------------------------------   
       !F=FE*FP
       CALL kmatinv3(fp , invfpo, nel) !INVFPO = INVERSE (FP)  
       CALL prodmat  (f , invfpo, fe, nel) ! FE = F * INVFPO      
 
       CALL prodaat(fe , matb, nel) ! 
      RETURN
      END