293 lines
8.3 KiB
Text
293 lines
8.3 KiB
Text
** One-element Test:
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** (via *UMAT procedure)
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**
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** Model is intended to represent a single crystal metallic bar
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** subjected to uniaxial tension
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**
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** This program is based on the "finite strain" version of the
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** constitutive law of a single crystal metal following the Schmid
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** rule, with various hardening options. It involves a single
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** element.
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**
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***************************************************************************
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**
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** The UMAT associated with this file has been modified to correct
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** an error in the way in which the Bassani & Wu hardening law
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** was implemented. For more information, see comment number five
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** in the UMAT.
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**
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** The changes require only one modification to the input file.
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** The number of "state dependent variables" (i.e. the DEPVAR command)
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** must be increased to account for the additional state variables.
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** The comment lines near the DEPVAR command in this input file have
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** been modified to reflect the changes made in the UMAT.
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**
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** An addendum to the manuscript which describes this UMAT (Huang, Y.,
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** A User-Material Subroutine Incorporating Single Crystal Plasticity
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** in the ABAQUS Finite Element Program, Mech Report 178, Harvard
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** University, 1991.) can be obtained from the same source.
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**
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** Jeffrey W. Kysar
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** November, 1997
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** kysar@esag.harvard.edu
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**
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**************************************************************************
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**
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*HEADING
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Single-Crystal One Element Model; Finite Strain and Finite Rotation
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**
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** lengths in mm, stress and moduli in MPa
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**
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*NODE, NSET=NODEALL
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1, 0., 0., 0.
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2, 0., 10., 0.
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3, 0., 10., 10.
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4, 0., 0., 10.
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5, 100., 0., 0.
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6, 100., 10., 0.
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7, 100., 10., 10.
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8, 100., 0., 10.
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9, 0., 5., 0.
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10, 0., 10., 5.
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11, 0., 5., 10.
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12, 0., 0., 5.
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13, 100., 5., 0.
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14, 100., 10., 5.
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15, 100., 5., 10.
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16, 100., 0., 5.
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17, 50., 0., 0.
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18, 50., 10., 0.
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19, 50., 10., 10.
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20, 50., 0., 10.
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**
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*ELEMENT, TYPE=C3D20R
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1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
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16, 17, 18, 19, 20
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*ELSET,ELSET=ONE
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1
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**
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*BOUNDARY
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1,PINNED
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2,1
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2,3
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3,1
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4,1
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9,1
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10,1
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11,1
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12,1
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**
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**
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*SOLID SECTION, ELSET=ONE, MATERIAL=CRYSTAL
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*MATERIAL,NAME=CRYSTAL
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**
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*USER MATERIAL,CONSTANTS=160,UNSYMM
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**
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** All the constants below must be real numbers!
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**
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168400., 121400., 75400. ,
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** c11 , c12 , c44 , (elastic constants of copper crystal)
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** MPa , MPa , MPa ,
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**
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0. ,
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** constants only used for an elastic orthotropic or anisotropic material
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** MPa ,
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**
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0. ,
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** constants only used for an elastic anisotropic material
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** MPa ,
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**
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** The elastic constants above are relative to crystal axes, where
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** 1 -- [100], 2 -- [010], 3 -- [001] . These elastic constants
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** are arranged in the following order:
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** eight constants each line (data card)
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**
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** (1) isotropic:
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** E , Nu (Young's modulus and Poisson's ratio)
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** 0.
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** 0.
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**
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** (2) cubic:
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** c11 , c12 , c44
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** 0.
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** 0.
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**
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** (3) orthotropic:
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** D1111, D1122, D2222, D1133, D2233, D3333, D1212, D1313,
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** D2233
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** 0.
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**
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** (4) anisotropic:
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** D1111, D1122, D2222, D1133, D2233, D3333, D1112, D2212,
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** D3312, D1212, D1113, D2213, D3313, D1213, D1313, D1123,
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** D2223, D3323, D1223, D1323, D2323
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**
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**
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1. ,
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** number of sets of slip systems
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** -- ,
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**
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1. , 1. , 1. , 1. , 1. , 0. ,
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** normal to slip plane , slip direction , of the 1st set
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** -- , -- , -- , -- , -- , -- ,
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**
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0. ,
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** normal to slip plane , slip direction , of the 2nd set
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** -- , -- , -- , -- , -- , -- ,
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**
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0. ,
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** normal to slip plane , slip direction , of the 3rd set
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** -- ,
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**
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**
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-1. , 0. , 1. , 0. , 0. , 1. ,
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** direction in local system , global system , of the 1st vector
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** --- , -- , -- , -- , -- , -- ,
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** (the first vector to determine crystal orientation in global system)
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**
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0. , 1. , 0. , 0. , 1. , 0. ,
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** direction in local system , global system , of the 2nd vector
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** -- , -- , -- , -- , -- , -- ,
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** (the second vector to determine crystal orientation in global system)
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**
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** constraint: The angle between two non-parallel vectors in the local
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** and global systems should be the same. The relative
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** difference must be less than 0.1%.
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**
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**
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10. , .001 ,
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** n , adot , of 1st set of slip systems
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** --- , 1/sec ,
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** (power hardening exponent and hardening coefficient)
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** gammadot = adot * ( tau / g ) ** n
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**
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** Users who want to use their own constitutive relation may change the
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** function subprograms F and DFDX called by the subroutine
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** STRAINRATE and provide the necessary data (no more than 8) in the
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** above line (data card).
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**
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**
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0. , 0.
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** n , adot , of 2nd set of slip systems
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** --- , 1/sec ,
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**
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0. , 0. ,
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** n , adot , of 3rd set of slip systems
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** -- , 1/sec ,
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**
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**
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541.5 , 109.5 , 60.8 ,
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** h0 , taus , tau0 , of 1st set of slip systems
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** MPa , MPa , MPa ,
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** (initial hardening modulus, saturation stress and initial critical
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** resolved shear stress)
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** H = H0 * { sech [ H0 * gamma / (taus - tau0 ) ] } ** 2
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**
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** Users who want to use their own self-hardening law may change the
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** function subprogram HSELF called by the subroutine LATENTHARDEN
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** and provide the necessary data (no more than 8) in the above line
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** (data card).
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**
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**
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1. , 1. ,
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** q , q1 , Latent hardening of 1st set of slip systems
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** -- , -- ,
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** (ratios of latent to self-hardening in the same and different sets
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** of slip systems)
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**
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** Users who want to use their own latent-hardening may change the
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** function subprogram HLATNT called by the subroutine LATENTHARDEN
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** and provide the additional data (beyond the self-hardening data,
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** no more than 8) in the above line (data card).
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**
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**
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0. ,
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** h0 , taus , tau0 , of 2nd set of slip systems
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** MPa , MPa , Mpa ,
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**
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0. ,
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** q , q1 , of 2nd set of slip systems
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** -- , -- ,
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**
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0. ,
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** h0 , taus , tau0 , of 3rd set of slip systems
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** MPa , MPa , MPa ,
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**
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0. ,
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** q , q1 , of 3rd set of slip systems
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** -- , -- ,
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**
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**
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.5 , 1. ,
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** THETA , NLGEOM ,
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** -- , -- ,
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**
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** THETA: implicit integration parameter, between 0 and 1
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**
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** NLGEOM: parameter determining whether finite deformation of single
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** crystal is considered
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**
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** NLGEOM=0. --- small deformation
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** otherwise --- finite rotation and finite strain, Users must
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** declare "NLGEOM" in the input file, at the *STEP
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** card
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**
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**
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1. , 10. , 1.E-5 ,
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** ITRATN , ITRMAX , GAMERR ,
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** -- , -- , -- ,
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** ITRATN: parameter determining whether iteration method is used to
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** solve increments of stresses and state variables in terms of
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** strain increments
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**
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** ITRATN=0. --- no iteration
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** otherwise --- iteration
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**
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** ITRMAX: maximum number of iterations
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**
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** GAMERR: absolute error of shear strains in slip systems
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**
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**
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*DEPVAR
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125
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** number of state dependent variables, must be larger than (or equal
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** to) ten times total number of slip systems in all sets, plus
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** five, plus the additional number of state variables users
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** introduced for their own single crystal model
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**
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** For example, {110}<111> has twelve slip systems. There are
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** 12*10+5=113 state dependent variables.
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**
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**
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**
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**
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**
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**
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******************** Load step follows *****************************
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**
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*RESTART,WRITE,FREQUENCY=10
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**
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*STEP,INC=500,NLGEOM
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*STATIC
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0.0005,1.0,0.0000001,0.2
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*DLOAD
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ONE,P2,-2.0E2
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**
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*NODE PRINT,FREQUENCY=50
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U,RF
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*EL PRINT,FREQUENCY=50
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S
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*EL PRINT,FREQUENCY=50
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E
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*EL PRINT,FREQUENCY=50
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SDV13,SDV14,SDV15,SDV16,SDV17,SDV18,SDV19,SDV20
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SDV21,SDV22,SDV23,SDV24,SDV109
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**
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*NODE FILE,FREQUENCY=1
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U
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*EL FILE,FREQUENCY=1
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S,E
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*EL FILE,FREQUENCY=1
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SDV
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**
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*END STEP
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