6. Keyword factor ACIER

The behavior model is elasto-plastic with linear kinematic work hardening.

6.1. Operands

The operands are the ones found under the factor keywords ELASet ecro_line of the defi_material [U4.43.01] command.

♦ E:Young’s modulus, elastic slope of the \(\sigma =f(\epsilon )\) curve

♦ SY: elastic limit.

◊ NU: Poisson’s ratio

◊ D_ SIGM_EPSI :Slope of the work hardening on the \(\sigma =f(\epsilon )\) curve. (cf. ecro_line of the defi_material command).

◊ sigm_ LIM: Boundary constraint.

◊ EPSI_LIM: Boundary deformation.

6.2. How it works

Two operands are mandatory: E, SY. If optional operands are entered, they are taken into account by the command and the values will not be changed. It is therefore necessary to ensure the consistency of the quantities provided.

In the case where optional operands are not entered, the command determines the missing quantities using the following formulas:

\(\nu =0.3\) \(\mathit{dsde}=E/10000.0\) \({\sigma }_{\mathit{ELS}}={\sigma }_{y}/1.1\) \({\epsilon }_{\mathit{ELU}}=10.0‰\)

6.3. Examples of use

To define a steel with an elastic limit of \(400.0\mathit{MPa}\), the command is used as follows:

ACIER = DEFI_MATER_GC (

ACIER =_F (E= 2.0E+11, SY= 400.0E+06, )) **,

)

The command prints all the values that are used to define the material into the message file.

== Parameters of law ECRO_LINE ==

Elasticity part:

E = 2.000E+11, NU = 3.00000000E-01,

Non-linear part:

SY = 4.00000000E+08, EPSI_LIM = 1.00000000E-02,

D_ SIGM_EPSI = 2.00000000E+07, SIGM_LIM = 3.63636364E+08,

For information:

EPSI_ELAS = 2.00000000E-03,