10. Quantity and components introduced in Code_Aster#

10.1. Calculated by CALC_FATIGUE#

The calculated values are stored at Gauss points or at the nodes depending on the option selected. The size FACY_R (FAtigue CYclique) has been introduced in the size catalog. The components of the field of this quantity, calculated by CALC_FATIGUE [U4.83.02], are described in the following tables.

For periodic loading and maximum shear stress critical plane type criteria (with DTAUM1 )

DTAUM1

first value of the maximum half-amplitude of shear stress in the critical plane

VNM1X

component \(x\) of the normal vector at the critical plane linked to DTAUM1

VNM1Y

component \(y\) of the normal vector at the critical plane linked to DTAUM1

VNM1Z

component \(z\) of the normal vector at the critical plane linked to DTAUM1

SINMAX1

maximum normal stress at the critical plane corresponding to DTAUM1

SINMOY1

mean normal stress at the critical plane corresponding to DTAUM1

EPNMAX1

maximum normal deformation at the critical plane corresponding to DTAUM1

EPNMOY1

mean maximum deformation at the critical plane corresponding to DTAUM1

SIGEQ1

Equivalent stress in the sense of the selected criterion corresponding to DTAUM1

NBRUP1

number of cycles before failure (a function of SIGEQ1et of a Wöhler curve)

ENDO1

damage associated with NBRUP1 (ENDO1 =1/ NBRUP1)

DTAUM2

second value of the maximum half-amplitude of the shear in the critical plane

VNM2X

component \(x\) of the normal vector at the critical plane linked to DTAUM2

VNM2Y

component \(y\) of the normal vector at the critical plane linked to DTAUM2

VNM2Z

component \(z\) of the normal vector at the critical plane linked to DTAUM2

SINMAX2

maximum normal stress at the critical plane corresponding to DTAUM2

SINMOY2

mean normal stress at the critical plane corresponding to DTAUM2

EPNMAX2

maximum normal deformation at the critical plane corresponding to DTAUM2

EPNMOY2

mean maximum deformation at the critical plane corresponding to DTAUM2

SIGEQ2

Equivalent stress in the sense of the selected criterion corresponding to DTAUM2

NBRUP2

number of cycles before failure (a function of SIGEQ2et of a Wöhler curve)

ENDO2

damage associated with NBRUP2 (ENDO2 =1/ NBRUP2)

Table 5.5-1: Components specific to multiaxial cyclic fatigue for periodic loading

For periodic loading and critical plan type criteria with the keyword FORMULE_CRITIQUE

VNM1X

Component \(x\) of the normal vector at the critical plane that maximizes the critical formula

VNM1Y

Component \(y\) of the normal vector at the critical plane that maximizes the critical formula

VNM1Z

Component \(z\) of the normal vector at the critical plane that maximizes the critical formula

SIGEQ1

Equivalent stress in the sense of the criterion selected at the critical level that maximizes the critical formula

NBRUP1

Number of cycles before breakage

ENDO1

Damage associated with NBRUP1 (ENDO1 =1/ NBRUP1)

Table 5.5-2: Components specific to multiaxial cyclic fatigue for periodic loading and critical plane criteria with the keyword **** FORMULE_CRITIQUE **

For non-periodic loading and maximum damage critical plan type criteria

VNM1X

Component \(x\) of the normal vector at the critical plane related to the max damage

VNM1Y

Component \(y\) of the normal vector at the critical plane related to the max damage

VNM1Z

Component \(z\) of the normal vector at the critical plane related to the max damage

ENDO1

Damage associated with the cargo block

VNM2X

Component \(x\) of the normal vector at the critical plane related to the max damage

VNM2Y

Component \(y\) of the normal vector at the critical plane related to the max damage

VNM2Z

Component \(z\) of the normal vector at the critical plane related to the max damage

Table 5.5-3: Components specific to multiaxial cyclic fatigue for non-periodic loading

For non-periodic loading, if there is only one critical maximum damage plane, VNM2X, VNM2Y, VNM2Zsont identical to VNM1X, VNM1Y, VNM1Z. If several planes exist, we sound an alarm and we release the first two planes.

10.2. Calculated by POST_FATIGUE#

The calculated values are stored at Gauss points or at the nodes depending on the option selected. The size FACY_R (FAtigue CYclique) has been introduced in the size catalog.

The components calculated by POST_FATIGUE [U4.83.01] are described in the following tables.

For periodic loading and criteria for the type of critical shear stress plan maximum

DTAUM1

First Value of the maximum half-amplitude of the shear in the critical plane

VNM1X

Component \(x\) of the normal vector to the critical plane linked to DTAUM1

VNM1Y

Component \(y\) of the normal vector to the critical plane linked to DTAUM1

VNM1Z

Component \(z\) of the normal vector to the critical plane linked to DTAUM1

SINMAX

Maximum normal stress at the critical plane corresponding to DTAUM1

SINMOY

Normal mean stress at the critical plane corresponding to DTAUM1

EPNMAX

Maximum normal deformation at the critical plane corresponding to DTAUM1

EPNMOY

Mean maximum deformation at the critical plane corresponding to DTAUM1

SIGEQ

Equivalent stress in the sense of the selected criterion corresponding to DTAUM1

NBRUP

Number of cycles before failure (a function of SIGEQ1et of a Wöhler curve)

DOMMAGE

Damage associated with NBRUP1 (ENDO1 =1/ NBRUP1)

VNM2X

Component \(x\) of the normal vector to the critical plane linked to DTAUM2

VNM2Y

Component \(y\) of the normal vector to the critical plane linked to DTAUM2

VNM2Z

Component \(z\) of the normal vector to the critical plane linked to DTAUM2

Table 5.5-1: Components specific to multiaxial cyclic fatigue for periodic loading

For periodic loading and critical plan type criteria with the keyword FORMULE_CRITIQUE

VNM1X

Component \(x\) of the normal vector at the critical plane that maximizes the critical formula

VNM1Y

Component \(y\) of the normal vector at the critical plane that maximizes the critical formula

VNM1Z

Component \(z\) of the normal vector at the critical plane that maximizes the critical formula

SIGEQ1

Equivalent stress in the sense of the criterion selected at the critical level that maximizes the critical formula

NBRUP1

Number of cycles before breakage

ENDO1

Damage associated with NBRUP1 (ENDO1 =1/ NBRUP1)

Table 5.5-2: Components specific to multiaxial cyclic fatigue for periodic loading and critical plane criteria with the keyword **** FORMULE_CRITIQUE **

For non-periodic loading and maximum damage critical plan type criteria

VNM1X

Component \(x\) of the normal vector at the critical plane related to the max damage

VNM1Y

Component \(y\) of the normal vector at the critical plane related to the max damage

VNM1Z

Component \(z\) of the normal vector at the critical plane related to the max damage

DOMMAGE

Damage associated with the cargo block

VNM2X

Component \(x\) of the normal vector at the critical plane related to the max damage

VNM2Y

Component \(y\) of the normal vector at the critical plane related to the max damage

VNM2Z

Component \(z\) of the normal vector at the critical plane related to the max damage

Table 5.5-3: Components specific to multiaxial cyclic fatigue for non-periodic loading