5. example

Here we treat the case of a 3D structure subjected to a transient dynamic loading (cf. test case sdls114b [V2.03.114]). After constructing the mass and stiffness matrices, it is possible to calculate the natural modes of the structure:

MODE = CALC_MODES (MATR_RIGI = RIG_ASS,

MATR_MASS = MA_ASS,

CALC_FREQ =_F (NMAX_FREQ =60,),);

It is then possible to calculate the displacement of the structure subjected to dynamic loading:

The calculation of fracture mechanics begins with the definition of the crack bottom:

FF2 = DEFI_FISS_XFEM (MODELE =MO,

DEFI_FISS =_F (GROUP_MA_FISS =” LEV_SUP “,

GROUP_MA_FOND =” FN_FS “,),

GROUP_MA_ENRI =” VVOLTOT “,);

The calculation of the functions \({K}_{I}(t)\), \({K}_{\mathit{II}}(t)\) and \({K}_{\mathit{III}}(t)\) is done after the preliminary calculation of the intensity factors of the modal constraints by CALC_G:

KT2 = POST_K_TRANS (RESU_TRANS = RES_DYNA,

K_ MODAL = _F (TABL_K_MODA = GLMO1,

FISSURE = FF2,),);