4. Linear and non-linear possibilities#

4.1. Law of behavior#

The laws of behavior specific to these models, usable under COMPORTEMENT in STAT_NON_LINE and DYNA_NON_LINE, are documented in [R5.03.17] Behavioral relationships of discrete elements, except for the law ASSE_CORN [R5.03.32]. Possible behaviors:

  • ELAS. In the general case, it is not necessary to assign elastic behavior to the discrete. The STAT_NON_LINE operator does this assignment by default on all the cells in the model. This assignment is then overloaded when the COMPORTEMENT keyword is processed.

    On the other hand, if a discrete is affected by a temperature and we want to take into account thermal expansion (only for a « DIS_TR_L »), it is necessary to define the expansion coefficient \(\alpha\) and this is done by the definition of an elastic material. It is therefore necessary to define \(ALPHA=\alpha\), the keyword E is mandatory but its value will not be taken into account, see [R5.03.17].

  • ASSE_CORN. See [R5.03.32]

  • ARME

  • DIS_CHOC

  • DIS_CONTACT

  • ELAS

  • DIS_VISC

  • DIS_ECRO_CINE

  • DIS_ECRO_TRAC

  • DIS_BILI_ELAS

  • DIS_GRICRA

  • DIS_GOUJ2E

  • CHOC_ENDO

  • CHOC_ENDO_PENA

In addition to the assignment of characteristics (AFFE_CARA_ELEM), the use of the « DIS_T » and « DIS_TR » models with STAT_NON_LINE, DYNA_NON_LINE, DYNA_TRAN_EXPLI involves defining material characteristics (via DEFI_MATERIAU and AFFE_MATERIAU).

With material DIS_CONTACT and behaviors DIS_CHOC and DIS_CONTACT the elastic matrix is calculated with the stiffness characteristic defined in AFFE_CARA_ELEM, while the tangent matrix is calculated via behavior DIS_CHOC or DIS_CONTACT.

4.2. Deformations#

The only available deformation, used in behavior relationships under the DEFORMATION keyword for the STAT_NON_LINE and DYNA_NON_LINE operators is “ PETIT “ (Cf. [U4.51.11]):

The deformations used for the behavioral relationship are therefore the linearized deformations calculated on the initial geometry.