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laws:arbth [2019/06/11 11:24]
helene created
laws:arbth [2020/08/25 15:46] (current)
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 |ARB3C.F| ARB3C |Main subroutine of the law for 3D state| |ARB3C.F| ARB3C |Main subroutine of the law for 3D state|
 |CALMAT.F| CALAMAT | Linear interpolation of parameters at a given temperature| |CALMAT.F| CALAMAT | Linear interpolation of parameters at a given temperature|
-|CALDER.F| CALDER | Computation of $\frac{dE}{dT}$ and $\frac{d\alpha}{dT}$|+|CALDER.F| CALDER | Computation of $\frac{dE}{dT}$, $\frac{d\nu}{dT}$, ​and $\frac{d\alpha}{dT}$|
 |CALSYT.F| CALSYT | Computes actualized plastic limit | |CALSYT.F| CALSYT | Computes actualized plastic limit |
 |CONCAT.F| CONCAT | Concatenation of 2 vectors | |CONCAT.F| CONCAT | Concatenation of 2 vectors |
Line 37: Line 37:
 ^ 1 line (6I5) ^^ ^ 1 line (6I5) ^^
 |NTEMP| number of temperatures at which material data are given | |NTEMP| number of temperatures at which material data are given |
-|NINTV| number of sub-steps used to integrate numerically ​theconstitutive ​equation in a time step \\ if NINTV <= 0 : number of sub-steps is based on the norm of the deformation increment and on DIV=1.D-04 |+|NINTV| number of sub-steps used to integrate numerically ​the constitutive ​equation in a time step \\ if NINTV <= 0 : number of sub-steps is based on the norm of the deformation increment and on DIV=1.D-04 |
 |IENTH| = 0 to use the classical formulation for $\alpha$| |IENTH| = 0 to use the classical formulation for $\alpha$|
 |:::| = 1 to use $\int \alpha dT$ | |:::| = 1 to use $\int \alpha dT$ |
Line 43: Line 43:
 |:::|=0 if parabolic or bilinear law| |:::|=0 if parabolic or bilinear law|
 |IZENER| =0 if $\sigma$-$\varepsilon$ curves do not depend on strain rate| |IZENER| =0 if $\sigma$-$\varepsilon$ curves do not depend on strain rate|
-|:::| = 1 if $\sigma$-$\varepsilon$ curves depend on strain rate|+|:::| = 1 if $\sigma$-$\varepsilon$ curves depend on strain rate (Not available)|
 |IDYN|= 1 if recrystallisation| |IDYN|= 1 if recrystallisation|
 |:::| = 0 else| |:::| = 0 else|
  
 +==== Real parameters ====
 +^ Line 1 (2G10.0) ^^
 +|ACTIVE| energy activation (not used)|
 +|EPSRATE| epsilon rate (not used)|
 +//Note: This first line was implemented in the prepro but these parameters are not used in the law - probably a development that was never completed...//​
  
 +=== If NPOINT=0 - repeat NTEMP times===
 +//Not available in ARBC2N ?//
 +^ Line 1 (9G10.0) ^^
 +|T| temperature|
 +|E| Young'​s elastic modulus at temperature T|
 +|Nu| Poisson'​s ratio at temperature T|
 +|ALPHA| Thermal expansion coefficient $\alpha$ at temperature T|
 +|SIGY1|Lower yield limit ($\sigma_{y1}$) at temperature T|
 +|SIGY2|Upper yield limit ($\sigma_{y2}$) at temperature T (SIGY2<​SIGY1 bilinear case) \\ (parabolic case wrong very often AMH - better use bilinear case or npoint>​0) |
 +|EPS2 | upper yield strain ($\varepsilon_2$) at temperature T|
 +|ET| Elasto-plastic tangent modulus (Et) at temperature T|
 +|COEFTQ| TAYLOR-QUINNEY'​s coefficient (q) at temperature T|
  
-==== Real parameters ==== +=== If NPOINT>​0 ​=== 
-^ Line 1 (FORMAT) ^^ +^ Lines 1:NPOINT - (G10.0)^^ 
-|PARAM1description of PARAM1|+|EPS| Strain for which stress will be given at each temperature| 
 +//Repeat NTEMP times// 
 +^Line 1 (3G10.0)^^ 
 +|Ttemperature| 
 +|Nu| Poisson'​s ratio at temperature T| 
 +|ALPHA| Thermal expansion coefficient $\alpha$ at temperature T| 
 +^Line 2:​NPOINT+1^^ 
 +|SIGY|Stress for strain defined here above at temperature T| 
 +^Line NPOINT+2^^ 
 +|COEFTQ| TAYLOR-QUINNEY'​s coefficient (q) at temperature T|
  
 +=== If IDYN=1 ===
 +Recrystallisation function $\varepsilon = C_1 * atan((ln(Z)-C_2)*C_3)+C_4$
 +^Line 1 (4G10.0)^^
 +|C1| for $\varepsilon_C$ |
 +|C2| :::|
 +|C3| :::|
 +|C4| :::|
 +^Line 2 (4G10.0)^^
 +|C1| for $\varepsilon_S$ |
 +|C2| :::|
 +|C3| :::|
 +|C4| :::|
  
 ===== Stresses ===== ===== Stresses =====
laws/arbth.1560245086.txt.gz · Last modified: 2020/08/25 15:34 (external edit)