Fogue method

This is the second criterion presented in [KVRB96] and [VKRB96], but Weber in [Web99] cites this criterion as to be much older – the author is Fogue.This integral criterion is based on a spatial average of the damage parameter. The composition of damage parameter is very alike to Robert critical plane method, but its spatial square mean is taken:

The appropriate material parameters have to be set from three fatigue limits [KVRB96]:

Alike to the Robert critical plane method, any clear evaluation of this criterion very scarce. The only really significant sources of validity of this criterion are the PhD thesis of Bastien Weber [Web99] and [FatLim Database].

Nomenclature:

Mark	Unit	PragTic variable	Meaning
	[MPa]		shear stress amplitude on an examined plane
	[MPa]	TENS-1, BEND-1	fatigue limit in fully reversed axial loading
	[MPa]	TENS0, BEND0	fatigue limit in fully repeated axial loading
	[-]		ratio of fatigue limits ()
	[MPa]		amplitude of normal stress on the plane examined
	[MPa]		mean (average value of maximum and minimum values) normal stress on the plane examined
	[MPa]	TORS-1	fatigue limit in fully reversed torsion

Methods & Options & Variables of Calculation – Edit

Decomposition

- Whole load path

Elasto-plasticity

- No – currently no option implemented

Solution option

- Searched planes <0~BS algorithm, 1~globe analogy, 2~random>

- Number of scanned planes

- Only every x-th data-point taken from load history

- Evaluate envelope curve only <1~yes, 0~no>

Solution variable

- Minimum damage – this option is not active for this high-cycle fatigue method

Material parameters

E	[MPa]	tensile modulus
NU	[-]	Poisson’s ratio
TENS0	[MPa]	fatigue limit in repeated tension (or plane bending)
TENS-1	[MPa]	fatigue limit in fully reversed push-pull (or plane bending)
TORS-1	[MPa]	fatigue limit in fully reversed torsion

Result detail variables

Damage fatigue index is computed, not the damage as a reciprocal value to number of cycles or repetitions

FDD1 MAXDP maximum of damage parameter

FDD2 NCX x-coordinate of the normal line vector of the plane with MAXDP

FDD3 NCY y-coordinate of the normal line vector of the plane with MAXDP

FDD4 NCZ z-coordinate of the normal line vector of the plane with MAXDP

FDD5 ALFA angle between the normal lines to the critical plane and to the free surface

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