/MAT/LAW40 (KELVINMAX)

Block Format Keyword This law describes the generalized Maxwell-Kelvin material. This law can only be used with solid elements.

Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
/MAT/LAW40/mat_ID/unit_ID or /MAT/KELVINMAX/mat_ID/unit_ID
mat_title
ρ i                
K G Astass Bstass Kvm
G1 G2 G3 G4 G5
β 1 β 2 β 3 β 4 β 5

Definitions

Field Contents SI Unit Example
mat_ID Material identifier

(Integer, maximum 10 digits)

 
unit_ID Unit Identifier

(Integer, maximum 10 digits)

 
mat_title Material title

(Character, maximum 100 characters)

 
ρ i Initial density

(Real)

[ kg m 3 ]
K Bulk modulus

(Real)

[ Pa ]
G Long time shear modulus

(Real)

[ Pa ]
Astass Stassi A coefficient

(Real)

[ Pa ]
Bstass Stassi B coefficient

(Real)

[ Pa ]
Kvm von Mises coefficient

(Real)

 
G1 Shear modulus 1

(Real)

[ Pa ]
G2 Shear modulus 2

(Real)

[ Pa ]
G3 Shear modulus 3

(Real)

[ Pa ]
G4 Shear modulus 4

(Real)

[ Pa ]
G5 Shear modulus 5

(Real)

[ Pa ]
β 1 Time decay constant 1

(Real)

 
β 2 Time decay constant 2

(Real)

 
β 3 Time decay constant 3

(Real)

 
β 4 Time decay constant 4

(Real)

 
β 5 Time decay constant 5

(Real)

 

Example (Elastic Rubber)


#RADIOSS STARTER
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/UNIT/1
unit for mat
                 Mg                  mm                   s
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#-  2. MATERIALS:
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/MAT/KELVINMAX/1/1
LAW40 elastic rubber
#              RHO_I
                1E-9
#                  K               G_inf              Astass              Bstass                 Kvm
                8.97                   3                   0                   0                   0
#                 G1                  G2                  G3                  G4                  G5
                   0                   0                   0                   0                   0
#              BETA1               BETA2               BETA3               BETA4               BETA5
                   0                   0                   0                   0                   0
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#ENDDATA
/END
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|

Comments

  1. Shear modulus is computed using the following equation:(1)
    G ( t ) = G + 1 5 G i e β i t MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaciGGhbWaae WaaeaacaWG0baacaGLOaGaayzkaaGaeyypa0Jaci4ramaaBaaaleaa cqGHEisPaeqaaOGaey4kaSYaaabCaeaacaWGhbWaaSbaaSqaaiaadM gaaeqaaOGaamyzamaaCaaaleqabaGaeyOeI0IaeqOSdi2aaSbaaWqa aiaadMgaaeqaaSGaamiDaaaaaeaacaaIXaaabaGaaGynaaqdcqGHri s5aaaa@496E@

    with β i = 1 τ i

    Where τ i is the relaxation time.

  2. Variables Kvm, Astass, and Bstass are not used in this material law; except for some output in user variables.
  3. Poisson number "NU" ( ν ) is calculated automatically with bulk modulus K and initial shear modulus G at time= 0, as:(2)
    ν = 3 K 2 G 2 ( 3 K + G )

    Where, initial shear modulus G = G + G 1 + G 2 + G 3 + G 4 + G 5

    Poisson number "NU" ( ν ) must be positive and 0 < ν < 0.5 .