/VISC/PLAS

Block Format Keyword This is an isotropic elasto-plastic damping option. Applied for solid elements only.

Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
/VISC/PLAS/mat_ID/unit_ID
G MathType@MTEF@5@5@+= feaahGart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4raaaa@36C3@ σ y

Definition

Field Contents SI Unit Example
mat_ID Material identifier which refers to the viscosity card.

(Integer, maximum 10 digits)

unit_ID (Optional) Unit identifier.

(Integer, maximum 10 digits)

G MathType@MTEF@5@5@+= feaahGart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4raaaa@36C3@ Elastic shear modulus for the elasto-plastic damping.

(Real)

[ Pa ]
σ y Yield stress for elasto-plastic damping.

(Real)

[ Pa ]

Comments

  1. Elasto-plastic damping is based on a spring and slider in series for solid elements only.
    Figure 1.


  2. Elastic-plastic stress is added to stress tensors coming from the material law. This stress is deviatoric and obtained using shear modulus G MathType@MTEF@5@5@+= feaahGart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4raaaa@36C3@ and yield stress σ y . The trial stress is computed incrementally as:
    σ ¯ n + 1 d = σ n d + 2 G Δ ε MathType@MTEF@5@5@+= feaahGart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafq4WdmNbae badaqhaaWcbaGaamOBaiabgUcaRiaaigdaaeaacaWGKbaaaOGaeyyp a0Jaeq4Wdm3aa0baaSqaaiaad6gaaeaacaWGKbaaaOGaey4kaSIaaG OmaiaadEeacqGHflY1cqqHuoarcqaH1oqzaaa@481F@
    Where,
    Δ ε MathType@MTEF@5@5@+= feaahGart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeuiLdqKaeq yTdugaaa@3904@
    Strain increment.
    σ d MathType@MTEF@5@5@+= feaahGart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aaW baaSqabeaacaWGKbaaaaaa@38D0@
    Deviatoric stress.

    This trial stress is scaled using radial projection when the effective von Mises stress σ e f f MathType@MTEF@5@5@+= feaahGart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aaS baaSqaaiaadwgacaWGMbGaamOzaaqabaaaaa@3AA6@ is bigger than the yield stress ( σ y ) as follows:

    σ n + 1 d = σ ¯ n + 1 d min 1 , σ y σ e f f MathType@MTEF@5@5@+= feaahGart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aa0 baaSqaaiaad6gacqGHRaWkcaaIXaaabaGaamizaaaakiabg2da9iqb eo8aZzaaraWaa0baaSqaaiaad6gacqGHRaWkcaaIXaaabaGaamizaa aakiabgwSixlGac2gacaGGPbGaaiOBamaabmaabaGaaGymaiaacYca daWcaaqaaiabeo8aZnaaBaaaleaacaWG5baabeaaaOqaaiabeo8aZn aaBaaaleaacaWGLbGaamOzaiaadAgaaeqaaaaaaOGaayjkaiaawMca aaaa@51CB@

  3. It can be used to apply additional damping for rubbers and foams to avoid numerical instability.
  4. High elasto-plastic damping may artificially stiffen material.