Table of Contents

BLZ3D/BWD3D

Description

8 node large strain volumetric element with hourglass and locking control.

Implemented by: Zhu Yongyi, January 1992
Improved by: Laurent Duchêne and Pierre de Montleau, August 2004 (BWD3D version)

Type: 22

Prepro: BLZ3DA.F
Lagamine: BLZ3DB.F, BWD3DB.F

Input file

TITLE (A5)
TITLE 'BLZ3D' in columns 1 to 5
CONTROL (5I5)
NELEM Number of elements
INDPP = 0 if no weight (or no density if NTANA=-1)
= 1 if weight taken into account (or density)
INSHE = 0 for automatic calculation of shear locking parameter
= 1 if shear coefficient taken into account (see below)
= -1 for use of element BWD3D (only 1 integration point)
ILOAX = 0 for global axis computation
☛ Objectivity must be verified in the material law (with Jaumann correction)
☛ No rotation of material axes
< 0 for computation with constant and symetrical velocity gradients
pseudo local axes : use of local axes on the time step but no evolution of the local axes on the following time step
☛ Objectivity is verified
☛ No rotation of material axes
> 0 for computation with local axes
☛ Objectivity is verified
☛ Rotation of material axes
units:
= 1 for rotations incorporated in local tangent matrix :!: Not available
= 2 apply final rotation to local tangent matrix
= 3 apply initial rotation to local tangent matrix
= 4 compute tangent matrix through global perturbation method
tens (only for ILOAX>0):
= 0 for local axes e1, e2, e3 initially parallel to global axes ex, ey, ez
= 1 for local axes e1, e2 given (and e3=e1∧e2)
= 2 for local axes e1, e2 initially in the plane (ex, ey) forming an angle θ with ex, ey (and e3=e1∧e2)
= 3 same as 1 with different local axes for each element
= 4 same as 2 with different local axes for each element
ISIG0 = 0 if no initial stresses
= 1 for input of initial stresses
CONSIDERATION OF WEIGHT (4G10.0)
Only if INDPP = 1
WSPE(1) = specific weight in X direction
WSPE(2) = specific weight in Y direction
WSPE(3) = specific weight in Z direction
WSPE(4) = density
CONSIDERATION OF SHEAR LOCKING (1G10.0)
Only if INSHE = 1
PARSHE Shear locking coefficient ∈ [0,1]
- close to 0: avoid shear locking but higher risk of hourglass modes (use for thin elements in flexion)
- close to 1: avoid hourglass modes but higher risk of shear locking (use for cubic elements in shear)
INITIAL ORIENTATION OF LOCAL AXES (6G10.0)
Only if tens of ILOAX = 1 or 3
(only one line if tens of ILOAX = 1, repeated for each element if tens of ILOAX = 3)
e1(x)coordinate of e1 along ex
e1(y)coordinate of e1 along ey
e1(z)coordinate of e1 along ez
e2(x)coordinate of e2 along ex
e2(y)coordinate of e2 along ey
e2(z)coordinate of e2 along ez
Note: These vectors are normalized after reading but should be orthogonal:
e1 • e2 = e1(x) * e2(x) + e1(y) * e2(y) + e1(z) * e2(z) = 0
INITIAL ORIENTATION OF LOCAL AXES (1G10.0)
Only if tens of ILOAX = 2 or 4
(only one line if tens of ILOAX = 2, repeated for each element if tens of ILOAX = 4)
THETA Angle between e1 and ex in degrees
DEFINITION OF THE ELEMENTS (2I5/8I5/6G10)
NINTE Number of integration points (1, 2, 4 or 8)
if NINTE = 1, add 40 to MVARI compared to maximum required by laws
LMATE Number of the material law
NODES(8) List of nodes
SIG0(6) List of initial stresses (Only if ISIG0=1)