Table of Contents

CNTSH

Description

Constitutive law for unilateral contact with friction for:

The model

This law is used for mechanical analysis of unilateral contact with friction in generalized plane state for shells and membranes.

Contact can occur on both sides of shell (or membrane).

A penalty method is chosen to represent the contact.

COULOMB behaviour is assumed, with variable friction coefficient.

Files

Prepro: LCNTSH.F
Lagamine: CNTSH.F

Availability

Plane stress state NO
Plane strain state NO
Axisymmetric state NO
3D state NO
Generalized plane state YES

Input file

Parameters defining the type of constitutive law

Line 1 (2I5, 60A1)
ILLaw number
ITYPE 91
COMMENT Any comment (up to 60 characters) that will be reproduced on the output listing

Integer parameters

Line 1 (I5)
N Number of points defining the COULOMB behaviour
Shear stress ($\tau$) vs Pressure (p)

Remark :

Real parameters

Global datas

Line 1 (2G10.0)
RIGP Penalty coefficient on pressure ($K_p$)
RIGT Penalty coefficient on shear ($K_{\theta}$) (default = RIGP)

COULOMB constitutive law

To repeat N times :

Line 1 (2G10.0)
P Pressure p of the considered point
T Shear z of the considered point

Warning: The first point must always be taken at p=0.

Stresses

Number of stresses

2

Meaning

SIG(1) = p : Pressure
> 0 in compression
SIG(2) = $\tau$ : Shear
> 0 according with $\xi$ coordinate of shell (membrane)

State variables

Number of state variables

7

List of state variables

Q(1)ISEG: Number of foundation segment in contact
Q(2)TO: Side of the shell in contact
Q(3)WT: Total work associated to the integration point (by unit of shell area)
Q(4)WD: Dissipated work associated to the integration point (by unit of shell area)
Q(5)D: Penetration d (positive if contact occur)
Q(6)V: Sliding speed (positive with $\xi$ coordinate of shell)
Q(7)TC: Maximum shear stress, according to the COULOMB constitutive law and the pressure