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--- elements:blz3t [2019/04/03 18:03]
laurent
+++ elements:blz3t [2021/12/17 16:37] (current)
laurent
@@ Line 1: / Line 1: @@
-====== BLZ3T ======
+====== BLZ3T/BWD3T ======
 ===== Description =====
-{{ :elements:blz3d.png?300|}}
-node large strain volumetric element with hourglass and locking control for thermo-mechanical analysis. \\
-Implemented by: XXXX  Zhu Yongyi, January 1992
+node large strain volumetric element with hourglass and locking control for thermo-mechanical analysis. \\
-Improved by: Lihong Zhang, 200? (BWD3T version)
+{{  :elements:blz3d.png?300|}} \\
+Implemented by: Zhu Yongyi, December 1991 \\  \\
+Improved by: Lihong Zhang, May 2005 (BWD3T version)
 Type: 222
-Prepro: BLZ3TA.F                XXXXX Check\\
+Prepro: BLZ3TA.F \\
 Lagamine: BLZ3TB.F, BWD3TB.F\\
@@ Line 19: / Line 19: @@
 ^CONTROL (5I5)^^
 |NELEM  | Number of elements |
-|INDPP  |=0 if no weight |
+|INDPP  |= 0 if no weight |
-|:::    |=1 if weight taken into account |
+|:::    |= 1 if weight taken into account |
-|INSIG| = 0  initial stresses cannot be used.|
+|INSIG  |= 0  no initial stresses|
-|INSHE  |=0 for automatic calculation of shear locking parameter|
+|:::    |= 1 initial stresses computed from ferrostatic pressure (see below) |
-|:::    |=1 if shear coefficient taken into account|
+|INSHE  |= 0 for automatic calculation of shear locking parameter|
+|:::    |= 1 if shear coefficient taken into account (see below)|
 |:::    |=-1 for use of element BWD3T (only 1 integration point)|
-|ILOAX  |=0 for global axis computation \\ ☛ Objectivity must be verified in the material law (Jaumann correction) \\ ☛ No rotation of material axes|
+|ILOAX  |= 0 for global axis computation \\ ☛ Objectivity must be verified in the material law (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 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|
+|:::|> 0 for computation with local axes \\ ☛ Objectivity is verified \\ ☛ Rotation of material axes|
 |:::|units: \\ = 1 for rotations included 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 e<sub>1</sub>, e<sub>2</sub>, e<sub>3</sub> initially parallel to global axes e<sub>x</sub>, e<sub>y</sub>, e<sub>z</sub> \\ = 1 for local axes e<sub>1</sub>, e<sub>2</sub>  given (and e<sub>3</sub>=e<sub>1</sub>∧e<sub>2</sub>) \\ = 2 for local axes e<sub>1</sub>, e<sub>2</sub>  initially in the plane (e<sub>x</sub>, e<sub>y</sub>) forming an angle θ with e<sub>x</sub>, e<sub>y</sub> (and e<sub>3</sub>=e<sub>1</sub>∧e<sub>2</sub>) \\ = 3 same as 1 with different local axes for each element \\ = 4 same as 2 with different local axes for each element|
+^Consideration of weight (5G10.0) \\ Only if INDPP = 1 ^^
-^CONSIDERATION OF WEIGHT (5G10.0) \\ Only if INDPP = 1 ^^
 |WSPE(1)| = specific weight in X direction|
 |WSPE(2)| = specific weight in Y direction|
@@ Line 37: / Line 37: @@
 |WSPE(4)| = constant heat source|
 |WSPE(5)| = density|
-^CONSIDERATION OF SHEAR LOCKING (1G10.0) \\ Only if INSHE = 1 ^^
+^Consideration of initial stresses from ferrostatic pressure (3G10.0) \\ Only if INSIG = 1 ^^
+|GAMMA  | = specific weight|
+|TSOL   | = solidus temperature|
+|TLIQ   | = liquidus temperature|
+^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 bending) \\ - 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^^
+^Initial orientation of the 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)^^
 |e<sub>1</sub>(x)|coordinate of e<sub>1</sub> along e<sub>x</sub>|
 |e<sub>1</sub>(y)|coordinate of e<sub>1</sub> along e<sub>y</sub>|
@@ Line 47: / Line 51: @@
 |e<sub>2</sub>(z)|coordinate of e<sub>2</sub> along e<sub>z</sub>|
 |Note: These vectors are normalized after reading but should be orthogonal: \\ e<sub>1</sub> • e<sub>2</sub> = e<sub>1</sub>(x) * e<sub>2</sub>(x) + e<sub>1</sub>(y) * e<sub>2</sub>(y) + e<sub>1</sub>(z) * e<sub>2</sub>(z) = 0||
-^INITIAL ORIENTATION OF LOCAL AXES (1G10.0) \\ Only if tens of ILOAX = 2 or 4^^
+^Initial orientation of the 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 e<sub>1</sub> and e<sub>x</sub> in degrees|
-^DEFINITION OF THE ELEMENTS (4I5/14I5)^^
+^Definition of the elements (4I5/14I5)^^
 |NINTE| Number of integration points (1, 2, 4 or 8) \\ Currently, only NINTE = 1 is available ! |
 |LMATE1| Number of the material mechanical law|
@@ Line 56: / Line 60: @@
 |NODES(8)| List of nodes|
-^RESULTS^^
+===== Results =====
-|$\sigma_x,\sigma_y,\sigma_z,\sigma_x_y,\sigma_x_z,\sigma_y_z$|
-  * $\sigma_v$
+$\sigma_x,\sigma_y,\sigma_z,\sigma_{xy},\sigma_{xz},\sigma_{yz},f_x,f_y,f_z,f_{capacitif}$ In global axes
-  * $\sigma_v=\Vert \underline{\sigma}-\underline{X} \Vert -R-\sigma_Y$

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