3. Operands#

3.1. Operand RESULTAT#

♦ RESULTAT = summary, [result]

Refers to the result of the mechanical calculation for which the Beremin quantities (Weibull stress and rupture probability) are calculated.

3.2. Operand GROUP_MA#

♦ GROUP_MA = group_ma, [group_ma]

Refers to the domain of the model on which the calculation of the Beremin quantities will be carried out. Note that only one group of elements is allowed.

3.3. Operand DEFORMATION#

♦ DEFORMATION =/"PETIT ", [DEFAUT]
             /"PETIT_REAC ",
             /"GDEF_LOG ",

Define the assumptions for calculating deformations. For more details on deformation formalisms, see paragraph DEFORMATION of [U4.51.11].

  • In small deformations (DEFORMATION = “PETIT” or DEFORMATION = “PETIT_REAC”), the calculation is carried out using the Cauchy stress field SIEF_ELGA

  • In large logarithmic deformations (DEFORMATION = “GDEF_LOG”), the calculation is carried out from the field of

    specific constraints \(T\) close to the Kirchhoff stress defined in logarithmic space [R5.03.24].

Note 1: in large multiplicative deformations (DEFORMATION =” SIMO_MIEHE “), the macro command is not available.

Note 2: to minimize the effects related to incompressibility (volume blocking under pressure in particular) it is now possible to carry out post-treatments of cleavage rupture mechanics with incompressible elements (GRAD_INCO) with POST_BEREMIN.

3.4. Operand FILTRE_SIGM#

With “SIGM_ELGA”, the elementary fields of constraints are used in their representations with Gauss points.

With “SIGM_ELMOY”, the elementary fields of the constraints are determined from the mean weighted by Gauss weights (as for POST_ELEM).

3.5. Operand LIST_NUME_VARI#

Enter the indices of the internal variables of equivalent cumulative plastic deformation and plasticity indicators, usually named EPSPEQ and INDIPLAS in code_aster

3.6. Operand LIST_NUME_SIEF#

If DEFORMATION =” GDEF_LOG “, fill in the indices of the close \(T\) logarithmic constraints Kirchhoff constraints defined in logarithmic space [R5.03.24] taken instead of the Cauchy stress tensor if DEFORMATION =” PETIT “or” PETIT_REAC “(cf [LO17])

Note 1: in large multiplicative deformations (DEFORMATION =” SIMO_MIEHE “), the macro command is not available.

*Note 2: to minimize the effects related to incompressibility (volume blocking under pressure in particular) it is possible to carry out post-treatments of cleavage fracture mechanics with the elements incompressible (GRAD_INCO) with POST_BEREMIN. *

3.7. Operand COEF_MULT#

◊ COEF_MULT =coef., [R]

The default value for this coefficient is 1.0.

The following table, in which the thickness is noted \(e\), indicates typical values of the \(C\) coefficient as a function of the type of symmetry:

  • simple symmetry: the plane of symmetry of the mesh passes through the plane of the defect and the defect is entirely meshed,

  • double symmetry: the plane of symmetry of the mesh also passes through the plane of the defect but only one half of the defect is meshed.

3D and 3D_SI

AXIS **and** AXIS_SI **

D_ PLAN ** and D_ PLAN_SI

C_ PLAN

SIMPLE

2

\(4\mathrm{\pi }\)

2nd

2nd

DOUBLE

4

not applicable

not applicable

not applicable

NON

1

\(2\mathrm{\pi }\)

e

e

Table 3.5-1 : **Values of the symmetry-thickness multiplier ratio

3.8. Operand SIGM_MAXI#

Allows you to print a post-processing result file in MED format. This is the maximum of the main constraint where plasticity is active (field SIGW_ELGA).