$$$$ SIGM NOTICE CHAT 11/09/12 21:18:04 7124 DATE 11/09/12 Operateur SIGMA Voir aussi : VMIS PRIN --------------- CALP CARA TRES RTEN SIG1 = SIGMA ('LINE') MODL1 CHAM1 ( CHAM2 ) DEP1 ; Description : _____________ The SIGMA operator calculates a stress field from a displacement field. ATTENTION : It is assumed that the material has an elastic linear behaviour and that there is no initial strain (in case of thermal loads one must retreive the stress field computed by the THETA operator). For some elements, it is a matter of forces, (bars, beams, pipes), for others, it is a matter of generalized stresses (thin shells). The stresses are calculated in the general basis for the solid elements, and in the local axes for the shell, plate and beam elements. If the method of computation of strains is QUADRATIQUE these terms will be taken in account to compute stresses otherwise only linear terms will be used. To assure that only linear terms are taken into account you must ask for it by the word 'LINE' Contents : _________ 'LINE' : key word indicating that only first second-order terms are taken into account MODL1 : model object (MMODEL type) CHAM1 : field of material (and geometrical when necessary) characteristics for some elements (see note below) (MCHAML type, CARACTERISTIQUES subtype) or of Hooke's matrices (MCHAML type, MATRICE DE HOOKE subtype) CHAM2 : characteristic field (MCHAML type, CARACTERISTIQUES subtype) required for some elements (see note below) CARACTERISTIQUES) if CHAM1 is a field of Hooke's matrices DEP1 : displacement field (CHPOINT type) SIG1 : generated stress field (MCHAML type, CONTRAINTES subtype) Notes : ________ 1. The characteristics must be specified whenever the geometrical description cannot be done by the mesh ; for instance, the plate elements thickness or the flexural inertias for the beam elements etc... 2. For offset shells, the stresses are calculated at the level of the offset mid-surface. 3. The second order stresses are calculated for the following types of elements : - full dimension elements : all - linear : BARR POUT TUYA TIMO - plates and shells : COQ2 -------------------------------------------------------------------- | Calculated stresses | | Finite elements in MECANIQUE formulation | -------------------------------------------------------------------- | Finite | Option for | Names of |Calculation| Supporting | |element |calculation | stresses | basis | points | -------------------------------------------------------------------- | POI1 | PLAN GENE | EFFX | local | node | -------------------------------------------------------------------- | CERC | AXIS | EFFX | local | node | | | FOUR | | | | -------------------------------------------------------------------- | BARR | PLAN CONT | EFFX | local | Gauss | | BAR3 | PLAN DEFO | | | points | | | TRID | | | | -------------------------------------------------------------------- | COQ2 | PLAN CONT | N11,NZZ,M11,MZZ | local | Gauss | | | PLAN DEFO | N11,NZZ,M11,MZZ | | points | | | AXIS | N11,N22,M11,M22 | | | | | FOUR | N11,N22,N12, | | | | | | M11,M22,M12 | | | -------------------------------------------------------------------- | POUT | TRID | EFFX,EFFY,EFFZ, | local | nodes | | TUYA | | MOMX,MOMY,MOMZ | | | -------------------------------------------------------------------- | TIMO | TRID | EFFX,EFFY,EFFZ, | local | centre of | | | | MOMX,MOMY,MOMZ | | gravity | -------------------------------------------------------------------- | TUFI | TRID | EFFX,EFFY,EFFZ, | local | centre of | | | | MOMX,MOMY,MOMZ | | gravity | | | | KI ,AIRE | | | -------------------------------------------------------------------- | TRI3 | PLAN CONT | SMXX,SMYY,SMZZ, | global | Gauss | | QUA4 | PLAN DEFO | SMXY | | points | | TRI6 | AXIS | SMRR,SMZZ,SMTT, | | | | QUA8 | | SMRZ | | | | ICT3 | FOUR | SMRR,SMZZ,SMTT, | | | | ICT6 | | SMRZ,SMRT,SMZT | | | | ICQ4 | | | | | | ICQ8 | | | | | -------------------------------------------------------------------- | JOI2 | TRID | SMSN,SMN | local | Gauss | | JOI3 | PLAN DEFO | | | points | | | AXIS | | | | -------------------------------------------------------------------- | JOI4 | TRID | SMS1,SMS2,SMN | local | Gauss | | | | | | points | -------------------------------------------------------------------- | COQ3 | TRID | N11,N22,N12, | local | centre of | | | | M11,M22,M12 | | gravity | -------------------------------------------------------------------- | DKT | TRID | N11,N22,N12, | local | Hammer's | | | | M11,M22,M12 | | points | -------------------------------------------------------------------- | DST | TRID | N11,N22,N12, | local | Hammer's | | | | M11,M22,M12 | | points | | | | V1 ,V2 | | | -------------------------------------------------------------------- | COQ4 | TRID | N11,N22,N12, | local | Gauss | | | | M11,M22,M12 | | points and | | | | V1 ,V2 | | centre of | | | | | | gravity | -------------------------------------------------------------------- | COQ6 | TRID | SMSS,SMTT,SMST, | local | Gauss | | COQ8 | | SMSN,SMTN | | points | -------------------------------------------------------------------- | CUB8 | TRID | SMXX,SMYY,SMZZ, | global | Gauss | | TET4 | | SMXY,SMXZ,SMYZ | | points | | PRI6 | | | | | | PYR6 | | | | | | CU20 | | | | | | TE10 | | | | | | PR15 | | | | | -------------------------------------------------------------------- | LISP | TRID | NZZ,NXZ,NYZ, | local | Gauss | | LISM | | MXX,MZZ,KI | | points | -------------------------------------------------------------------- $$$$
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