*MAT_111 (JOHNSON_HOLMQUIST_CONCRETE)

LS-DYNA Input Interface KeywordDefines a material law that is based on the theory of Johnson-Holmquist-Cook model theory (also called Johnson-Holmquist-Concrete).

It is proposed and designed for a concrete application. In this model, the spherical and deviatoric behavior are separated. It considers the effect of damage and strain rate sensitivity.

Format

(1) (2) (3) (4) (5) (6) (7) (8)
*MAT_111 or *MAT_JOHNSON_HOLMQUIST_CONCRETE
mat_ID ρ i G A B C N FC
T EPS0 EFMIN SFMAX PC MUC PL MUL
D1 D2 K1 K3 K3 FS

Definition

Field Contents SI Unit Example
mat_ID Material identifier.

(Integer)

ρ i Initial density.

(Real)

[ kg m 3 ]
G Shear modulus.

(Real)

[ Pa ]
A Normalized cohesive strength.

(Real)

B Normalized pressure hardening modulus.

(Real)

C Strain rate coefficient.
= 0 (Default)
No strain rate effect.

(Real)

N Pressure hardening exponent.

(Real)

FC Quasi-static uniaxial compressive strength.

(Real)

[ Pa ]
T Maximum hydrostatic tensile pressure.

(Real)

[ Pa ]
EPS0 Reference strain rate.

Default = 1.0 (Real)

[ 1 s ]
EFMIN Minimum fracture strain.

Default = 10-20 (Real)

SFMAX Maximum normalized strength.

Default = 1020 (Real)

PC Crushing pressure.

(Real)

[ Pa ]
MUC Crushing volumetric strain.

(Real)

PL Locking pressure.

(Real)

[ Pa ]
MUL Locking plastic volumetric strain.

(Real)

D1 Damage parameter.

(Real)

D2 Damage exponent.

(Real)

K1 Linear bulk stiffness.

(Real)

[ Pa ]
K2 Quadratic bulk stiffness.

(Real)

[ Pa ]
K3 Cubic bulk stiffness.

(Real)

[ Pa ]
FS Failure type.
< 0
Failure when σ y 0 MathType@MTEF@5@5@+= feaahGart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aaS baaSqaaiaadMhaaeqaaOGaeyizImQaaGimaaaa@3B5B@
= 0 (Default)
Tensile failure when P * + T * 0 MathType@MTEF@5@5@+= feaahGart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaamiuamaaCa aaleqabaGaaiOkaaaakiabgUcaRiaadsfadaahaaWcbeqaaiaacQca aaGccqGHKjYOcaaIWaaaaa@3CBE@
> 0
Failure when critical plastic strain is reached ε p >FS MathType@MTEF@5@5@+= feaahGart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaeqyTdu2aaS baaSqaaiaadchaaeqaaOGaeyOpa4JaamOraiaadofaaaa@3B72@

(Real)

Comments

  1. This keyword maps to /MAT/LAW126 (JOHNSON_HOLMQUIST_CONCRETE).
  2. The option “_TITLE” can be added to the end of this keyword. When “_TITLE” is included, an extra 80 characters long line is added after the keyword input line which allows an entity title to be defined.