$$$$ EPSI NOTICE PV 12/03/20 21:15:09 7302 DATE 12/03/20 Operateur EPSI Voir aussi : RTEN CALP -------------- ELAS HOOK GRAD POLA 1) EPS1 = EPSI MODL1 DEP1 ( CAR1 ) (HOO1) ('NOER') | ('II' ) ; | ('LINE') ; 2) EPS1 = EPSI MODL1 GRAD1 | ('GEOM') | ; | 'DEPL' | Description : ___________ Pour la premiere syntaxe le calcul des deformations se fait, pour chaque modele elementaire, suivant la methode precisee au niveau du modele. En standard les termes quadratiques sont calcules si le code le permet. (Voir mot-cle EPSILON des operateurs OPTION ou MODE) Cet operateur permet aussi de calculer un champ de deformations en prenant le logarithme naturel d'un champ de gradient symetrique ( EPS = ln(1/2.Ftrans.F) ) (2-eme syntaxe). For the first syntax this operator enables to calculate a strain field using the method defined for each model. By default quadratic terms are computed if it is possible for the kind of element. It is also possible (2-nd syntax) to compuite strain by the natural logarithm of a symmetric gradient field ( EPS = 1/2.ln(Ftrans.F) ). For some elements (beams, pipes, thin shells, with or without transverse shear), it is a matter of generalized strains, i.e. membrane-type strains and curvature variations. For the joint elements, it is a matter of relative displacements. The strains for the solid elements are computed in the general basis, those for the shell, plate, and beam elements are computed in the local axes. This second possibility is now available only for the massive formulation. The gradient field F is either given directly : F = GRAD1 ('GEOM' option, by default), or determined from the displacement gradient field : F = I + GRAD1 ('DEPL' option). Contents : __________ 'II' : key word indicating that second-order strains are requested MODL1 : model object (MMODEL type) DEP1 : displacement fields (CHPOINT type) CAR1 : field of geometrical properties (MCHAML type, CARACTERISTIQUES subtype) required for some elements (beams, shells...) It is also composed of material properties for the DST shell element when Hooke's matrix field is missing. HOO1 : Hooke's matrix field (MCHAML type, MATRICE DE HOOKE subtype) required for the DST shell element when CAR1 does not contain the material characteristics 'NOER' : keyword asking for ignoring the error in case of change of sign of the jacobian. In that case, EPS1 will be a non null ENTIER. 'II' : keyword to use second order terms. 'LINE' : keyword for linear calculation. GRAD1 : symmetric gradient field (MCHAML type, GRADIENT subtype) 'GEOM' : keyword indicating that the gradient field GRAD1 is associated with a geometric transformation 'DEPL' : keyword indicating that the gradient field GRAD1 is associated with a displacement field EPS1 : generated deformation field (MCHAML type, DEFORMATIONS subtype) Notes : _________ 1. For offset shells, the strains are computed at the level of the offset mid-surface. 2. For 2D plane stresses, it is not possible to compute the strain in relation to the perpendicular direction with respect to the plane. It equals 0. 3. The second order strains are calculated for the following types of elements : - full dimension elements : all - linear : BARR POUT TUYA TIMO - plates and shells : COQ2 DKT -------------------------------------------------------------------- | Computed strains | | Finite elements in MECANIQUE formulation | -------------------------------------------------------------------- | Finite | Option for | Strain |Calculation| Supporting | | element | calculation| names | basis | points | -------------------------------------------------------------------- | POI1 | PLAN GENE | EPSS | local | node | -------------------------------------------------------------------- | CERC | AXIS | EPSS | local | node | | | FOUR | | | | -------------------------------------------------------------------- | BARR | PLAN CONT | EPSS | local | centre of | | | PLAN DEFO | | | gravity | | | TRID | | | | -------------------------------------------------------------------- | COQ2 | PLAN CONT | EPSS,EPZZ,RTSS, | local | Gauss | | | PLAN DEFO | RTZZ | | points | | | AXIS | EPSS,EPTT,RTSS, | | | | | | RTTT | | | | | FOUR | EPSS,EPTT,GAST, | | | | | | RTSS,RTTT,RTST | | | -------------------------------------------------------------------- | POUT | TRID | EPS ,GXY ,GXZ , | local | nodes | | TUYA | | CX ,CY ,CZ | | | -------------------------------------------------------------------- | TIMO | TRID | EPS ,GXY ,GXZ , | local | centre of | | | | CX ,CY ,CZ | | gravity | -------------------------------------------------------------------- | TUFI | TRID | EPS ,GXY ,GXZ , | local | centre of | | | | CX ,CY ,CZ | | gravity | | | | EPS7,EPS8 | | | -------------------------------------------------------------------- | TRI3 | PLAN CONT | EPXX,EPYY,EPZZ, | global | Gauss | | QUA4 | PLAN DEFO | GAXY | | points | | TRI6 | AXIS | EPRR,EPZZ,EPTT, | | | | QUA8 | | GARZ | | | | | FOUR | EPRR,EPZZ,EPTT, | | | | | | GARZ,GART,GAZT | | | -------------------------------------------------------------------- | M1D2 | UNID PLAN | EPXX,EPYY,EPZZ | global | Gauss | | M1D3 | UNID AXIS | EPRR,EPZZ,EPTT | | points | | | UNID SPHE | EPRR,EPZZ,EPTT | | | -------------------------------------------------------------------- | JOI2 | PLAN CONT | DRSN,DRN | local | Gauss | | JOI3 | PLAN DEFO | | | points | | | AXIS | | | | -------------------------------------------------------------------- | JOI4 | TRID | DRS1,DRS2,DRN | local | Gauss | | | | | | points | -------------------------------------------------------------------- | COQ3 | TRID | EPSS,EPTT,GAST, | local | centre of | | | | RTSS,RTTT,RTST | | gravity | -------------------------------------------------------------------- | DKT | TRID | EPSS,EPTT,GAST, | local | Hammer's | | | | RTSS,RTTT,RTST | | points | -------------------------------------------------------------------- | DST | TRID | EPSS,EPTT,GAST, | local | Hammer's | | | | RTSS,RTTT,RTST, | | points | | | | GASN,GATN | | | -------------------------------------------------------------------- | COQ4 | TRID | EPSS,EPTT,GAST, | local | Gauss | | | | RTSS,RTTT,RTST, | | points and | | | | GASN,GATN | | centre of | | | | | | gravity | -------------------------------------------------------------------- | COQ6 | TRID | EPSS,EPTT,GAST, | local | Gauss | | COQ8 | | GASN,GATN | | points | -------------------------------------------------------------------- | CUB8 | TRID | EPXX,EPYY,EPZZ, | global | Gauss | | TET4 | | GAXY,GAXZ,GAYZ | | points | | PRI6 | | | | | | PYR6 | | | | | | CU20 | | | | | | TE10 | | | | | | PR15 | | | | | -------------------------------------------------------------------- | LISP | TRID | EPZZ,GAXZ,GAYZ, | local | Gauss | | LISM | | RTXX,RTZZ,DJP | | points | --------------------------------------------------------------------
© Cast3M 2003 - All rights reserved.
Disclaimer