!PLASTIC

Definition of plastic material

When !PLASTIC is defined, within the same !MATERIAL, !ELASTIC must also be defined.

Parameters

YIELD        = MISES (Default), Mohr-Coulomb, DRUCKER-PRAGER, USER
HARDEN       = BILINEAR (Default), MULTILINEAR, SWIFT, RAMBERG-OSGOOD, KINEMATIC, COMBINED
DEPENDENCIES = 0 (Default) / 1
INFINITESIMAL    When specified, the infinitesimal-deformation assumption is applied

** 2nd line and subsequent lines **

When YIELD = MISES (Default)

** When HARDEN = BILINEAR (Default) **

(2nd line) YIELD0, H

** When HARDEN = MULTILINEAR **

(2nd line) YIELD, PSTRAIN, Temperature
(3rd line) YIELD, PSTRAIN, Temperature

...continues

** When HARDEN = SWIFT **

(2nd line) ε0, K, n

** When HARDEN = RAMBERG-OSGOOD **

(2nd line) ε0, D, n

** When HARDEN = KINEMATIC **

(2nd line) YIELD0, C

** When HARDEN = COMBINED **

(2nd line) YIELD0, H, C

When YIELD = Mohr-Coulomb or Drucker-Prager

** When HARDEN = BILINEAR (Default) **

(2nd line) c, $\phi$, H, $\psi$

** When HARDEN = MULTILINEAR **

(2nd line) $\phi$, $\psi$
(3rd line) c, PSTRAIN
(4th line) c, PSTRAIN
...continues

Other values of HARDEN = are ignored, and the default value (BILINEAR) is used.

Variable	Type	Description
YIELD0	R	Initial yield stress
H	R	Hardening coefficient
PSTRAIN	R	Plastic strain
YIELD	R	Yield stress
\(\varepsilon0, K, n\)	R	\(\overline{\sigma} = k\left( \varepsilon_{0} + \overline{\varepsilon} \right)^{n}\)
\(\varepsilon0, D, n\)	R	\(\varepsilon = \frac{\sigma}{E} + \varepsilon_{0}\left( \frac{\sigma}{D} \right)^{n}\)
\(\phi\)	R	Internal friction angle
\(\psi\)	R	Dilatancy angle (default: same value as \(\phi\))
c	R	Cohesion
C	R	Linear kinematic hardening coefficient
Tempearture	R	Temperature (required when DEPENDENCIES=1)
v1, v2...v10	R	Material constants

** When YIELD= USER **

(2nd line and subsequent lines) v1, v2, v3, v4, v5, v6, v7, v8, v9, v10

Example

!PLASTIC, YIELD=MISES, HARDEN=MULTILINEAR, DEPENDENCIES=1
  276.0, 0.0, 20.
  296.0, 0.0018, 20.
  299.0, 0.0053, 20.
  303.0, 0.008, 20.
  338.0, 0.0173, 20.
  372.0, 0.0271, 20.
  400.0, 0.037, 20.
  419.0, 0.0471, 20.
  437.0, 0.0571, 20.
  450.0, 0.0669, 20.
  460.0, 0.0767, 20.
  469.0, 0.0867, 20.
  477.0, 0.0967, 20.
  276.0, 0.0, 100.
  276.0, 0.0018, 100.
  282.0, 0.0053, 100.
  295.0, 0.008, 100.
  330.0, 0.0173, 100.
  370.0, 0.0271, 100.
  392.0, 0.037, 100.
  410.0, 0.0471, 100.
  425.0, 0.0571, 100.
  445.0, 0.0669, 100.
  450.0, 0.0767, 100.
  460.0, 0.0867, 100.
  471.0, 0.0967, 100.
  128.0, 0.0, 400.
  208.0, 0.0018, 400.
  243.0, 0.0053, 400.
  259.0, 0.008, 400.
  309.0, 0.0173, 400.
  340.0, 0.0271, 400.
  366.0, 0.037, 400.
  382.0, 0.0471, 400.
  396.0, 0.0571, 400.
  409.0, 0.0669, 400.
  417.0, 0.0767, 400.
  423.0, 0.0867, 400.
  429.0, 0.0967, 400.

The work-hardening coefficient is calculated by interpolation from the input data above for the specified temperature or plastic strain. The same PSTRAIN array must be entered for each temperature value.