$$$$ EPSI NOTICE FD218221 20/12/17 21:15:17 10820 DATE 20/12/17 Operateur EPSI Voir aussi : RTEN CALP -------------- ELAS HOOK GRAD POLA 1) EPS1 = EPSI | ('LINE') | MODL1 DEP1 ( CAR1 ) (HOO1) ('NOER'); | 'QUAD' | | 'TRUE' | | 'JAUM' | | 'UTIL' | 2) EPS1 = EPSI MODL1 GRAD1 | ('GEOM') | ; | 'DEPL' | Section : Mecanique Resolution FRAN========================================================== Objet : _______ Pour la syntaxe 1), le calcul des deformations se fait, suivant la methode precisee par le mot cle. Par defaut, seuls les termes lineaires sont pris en compte. La syntaxe 2) permet de calculer un champ de deformations en prenant le logarithme naturel d'un champ de gradient symetrique ( EPS = 1/2.ln(Ftrans.F) ). La seconde syntaxe ne fonctionne actuellement que pour la formulation massive. Le champ de gradient F est : - soit donne directement : F = GRAD1 (option 'GEOM', prise par defaut), - soit determine a partir du gradient du champ de deplacement : F = I + GRAD1 (option 'DEPL'). Pour certains elements (poutres, tuyaux, coques minces avec ou sans cisaillement transverse) il s'agit de deformations generalisees, c'est-a-dire de deformations membranaires et de variations de courbure. Pour les elements joints, il s'agit de deplacements relatifs. Les deformations sont calculees dans le repere general pour les elements massifs et dans le repere local pour les elements coques, plaques et poutres. Commentaire : _____________ 'LINE', 'QUAD', 'TRUE', 'JAUM' ou 'UTIL' : mot-cle specifiant l'hypothese de calcul des deformations (lineaire par defaut). MODL1 : objet modele (type MMODEL). DEP1 : champ de deplacements (type CHPOINT). CAR1 : champ de caracteristiques geometriques (type MCHAML, sous-type CARACTERISTIQUES) necessaire pour certains elements (poutres ,coques ...). Il contient egalement les caracteristiques materielles pour l'element coque DST dans l'absence du champ de matrices de Hooke. HOO1 : champ de matrices de Hooke (type MCHAML, sous-type MATRICE DE HOOKE) necessaire pour l'element coque DST si CAR1 ne contient pas les caracteristiques materielles 'NOER' : mot-cle indiquant de ne pas faire d'erreur en cas de changement de signe du jacobien. Dans ce cas, en sortie EPS1 contient un entier non nul. GRAD1 : champ de gradient, symetrique (type MCHAML, sous-type GRADIENT). 'GEOM' : mot-cle indiquant que le champ de gradient GRAD1 est associe a une transformation geometrique. 'DEPL' : mot-cle indiquant que le champ de gradient GRAD1 est associe a un champ de deplacement. EPS1 : champ de deformations resultat (type MCHAML, sous-type DEFORMATIONS). Remarques : ___________ 1. Dans le cas des coques excentrees, les deformations sont calculees au niveau de la surface moyenne excentree 2. Dans le cas 2D contraintes planes, la deformation selon la direction perpendiculaire au plan n'est pas calculable. On la met egale a 0. 3. Le calcul des deformations du second ordre est implemente pour les elements suivants : - massifs : tous - lineiques : BARR POUT TUYA TIMO - plaques et coques : COQ2 DKT -------------------------------------------------------------------- | Deformations calculees | | Élements finis en formulation MECANIQUE | -------------------------------------------------------------------- | Element | Option | Noms des | Repere de | Points | | fini | de calcul | deformations | calcul | Supports | -------------------------------------------------------------------- | POI1 | PLAN GENE | EPSS | local | noeud | -------------------------------------------------------------------- | CERC | AXIS | EPSS | local | noeud | | | FOUR | | | | -------------------------------------------------------------------- | BARR | PLAN CONT | EPSS | local | centre de | | | PLAN DEFO | | | gravite | | | TRID | | | | -------------------------------------------------------------------- | COQ2 | PLAN CONT | EPSS,EPZZ,RTSS, | local | Points de | | | PLAN DEFO | RTZZ | | Gauss | | | AXIS | EPSS,EPTT,RTSS, | | | | | | RTTT | | | | | FOUR | EPSS,EPTT,GAST, | | | | | | RTSS,RTTT,RTST | | | -------------------------------------------------------------------- | POUT | TRID | EPS ,GXY ,GXZ , | local | noeuds | | TUYA | | CX ,CY ,CZ | | | -------------------------------------------------------------------- | TIMO | TRID | EPS ,GXY ,GXZ , | local | centre de | | | | CX ,CY ,CZ | | gravite | -------------------------------------------------------------------- | TUFI | TRID | EPS ,GXY ,GXZ , | local | centre de | | | | CX ,CY ,CZ | | gravite | | | | EPS7,EPS8 | | | -------------------------------------------------------------------- | TRI3 | PLAN CONT | EPXX,EPYY,EPZZ, | global | Points de | | QUA4 | PLAN DEFO | GAXY | | Gauss | | TRI6 | AXIS | EPRR,EPZZ,EPTT, | | | | QUA8 | | GARZ | | | | | FOUR | EPRR,EPZZ,EPTT, | | | | | | GARZ,GART,GAZT | | | -------------------------------------------------------------------- | M1D2 | UNID PLAN | EPXX,EPYY,EPZZ | global | Points de | | M1D3 | UNID AXIS | EPRR,EPZZ,EPTT | | Gauss | | | UNID SPHE | EPRR,EPZZ,EPTT | | | -------------------------------------------------------------------- | JOI2 | PLAN CONT | DRSN,DRN | local | Points de | | JOI3 | PLAN DEFO | | | Gauss | | | AXIS | | | | -------------------------------------------------------------------- | JOI4 | TRID | DRS1,DRS2,DRN | local | Points de | | | | | | Gauss | -------------------------------------------------------------------- | COQ3 | TRID | EPSS,EPTT,GAST, | local | centre de | | | | RTSS,RTTT,RTST | | gravite | -------------------------------------------------------------------- | DKT | TRID | EPSS,EPTT,GAST, | local | Points de | | | | RTSS,RTTT,RTST | | Hammer | -------------------------------------------------------------------- | DST | TRID | EPSS,EPTT,GAST, | local | Points de | | | | RTSS,RTTT,RTST, | | Hammer | | | | GASN,GATN | | | -------------------------------------------------------------------- | COQ4 | TRID | EPSS,EPTT,GAST, | local | Points de | | | | RTSS,RTTT,RTST, | | Gauss et | | | | GASN,GATN | | centre de | | | | | | gravite | -------------------------------------------------------------------- | COQ6 | TRID | EPSS,EPTT,GAST, | local | Points de | | COQ8 | | GASN,GATN | | Gauss | -------------------------------------------------------------------- | CUB8 | TRID | EPXX,EPYY,EPZZ, | global | Points de | | TET4 | | GAXY,GAXZ,GAYZ | | Gauss | | PRI6 | | | | | | PYR6 | | | | | | CU20 | | | | | | TE10 | | | | | | PR15 | | | | | -------------------------------------------------------------------- | LISP | TRID | EPZZ,GAXZ,GAYZ, | local | Points de | | LISM | | RTXX,RTZZ,DJP | | Gauss | -------------------------------------------------------------------- ANGL========================================================== Description : ___________ For the syntax 1) this operator enables to calculate a strain field using the method defined by the keyword. By default, linear deformation are computed. The syntax 2) compute strain by the natural logarithm of a symmetric gradient field ( EPS = 1/2.ln(Ftrans.F) ). 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). 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. Contents : __________ 'LINE', 'QUAD', 'TRUE', 'JAUM' ou 'UTIL' : keyword specifiing the hypothesis for the deformations (linear by default). 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. 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 | --------------------------------------------------------------------