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elements:coqj4

COQJ4

Quadrangular shallow shell element

Description

  • Bending: Kirchhoff's theory in plane stress state
  • Corotational total Lagrangian formulation taking into account the curvature of the element during deformation (Marguerre theory is used in cartesian coordinates; the element converges towards a deep shell solution).
  • Plastic part computed using Green deformations (+ Piola-Kirchhoff stress) and elastic part computed with real deformation (+ Cauchy stress) ⇒ the elastic part must be negligible compared to the plastic part.
  • 4 nodes with 6 DoF each: 3 translations and 3 rotations
  • 2*2 Gauss integration points
  • Contact or uniform loading can be taken into account

Type: 45
Imported from FINELG by Li Kaiping in 1991

Files

Prepro: COQJ4A.F
Lagamine: COQJ4B.F

Input file

Title (A5)
TITLE“COQJ4” in the first 5 columns
Control data (3I5)
NELEMNumber of elements
ILOCIndex for actualization of local axes
= 0 → New approach (Recommanded default value)
= 1 → Old approach (problem with step size)
INDPP = 0 → No specific density (Static analysis: NTANA > 0)
= 1 → Specific density taken into account (Dynamic analysis: NTANA < 0)
Density - only if INDPP = 1 (dynamic analysis only) (2G10.0)
WSPE(4)Density
DMASS_ROTMultiplicative factor for masses in rotation (default value =1)
Definition of the shell elements (2I5, G10.0)
LMATEMaterial law
NELMCNumber of elements of contact/loading associated with the shell element (0 ≤ NELMC ≤ 5)
THICKInitial thickness of the shell
Definition of the contact/load elements (4I5) - NELMC times
NPINumber of integration points for contact/loading (4 or 9)
IMATMaterial law for contact/loading
IFUNDNumber of the foundation to contact
> 0 there will be contact on the upper surface of the shell
< 0 there will be contact on the lower surface of the shell
IRIGFType of contact (same meaning as CFI3D):
= 0 → foundation or rigid tool (by default)
= 1 → uncoupled structure/structure contact
= 2 → coupled structure/structure contact
= 3 → coupled structure/structure contact
= 4 → coupled structure/structure contact - pilot node
List of nodes of the shell element (8I5)
NODES(I)
I=1,4
Corner nodes
NODESM(I)
I=1,4
[OPTIONAL] Nodes of the middle of the sides (A to D), used only to define the initial geometry of the element. These nodes must be fixed along the 6 DoF. If they are not given, they are computed automatically and placed at the middle of each side.

Remark

It is not possible to take into account the specific weight in static analysis

Results

For each integration point:

  • Stresses (see material law)
  • State variable:
    • Q(1→NVMAX): see material law
    • Q(NVMAX+1): $e_{xM}$
    • Q(NVMAX+2): $e_{yM}$
    • Q(NVMAX+3): $e_{zM}$
    • Q(NVMAX+4): $e_{xF}$
    • Q(NVMAX+5): $e_{yF}$
    • Q(NVMAX+6): $e_{zF}$
  • If there are contact elements (see law):
    • Stresses of the contact element
    • State variables of the contact elements

State variables of the additional solid element (not printable in the .out file):

  • Local coordinates
  • Rotation matrix to change to the local frame
elements/coqj4.txt · Last modified: 2020/08/25 15:46 (external edit)