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Next: B.5.3 Masonry Up: B.5 Static Nonlinearity Previous: B.5.1 Concrete and Brittle   Contents   Index

Subsections

B.5.2 Soil and Rock

Depending on the model type and dimensionality you may specify models for soil or rock.

Soil     §2.1.3
no parameters        


Rock     §2.1.3
no parameters        


B.5.2.1 Drained or Undrained Soil

For soil models [§9.6], you must indicate whether the behavior is drained or undrained.

Drained behavior     §9.6.2
K-ratio vert. to horiz. stress K0 K0 k0 §9.6.2


Undrained behavior UNDRAI   §9.6.3
K-ratio vert. to horiz. stress K0 K0 k0 §9.6.2
Fluid bulk modulus Kf NUMBKF bulkf §9.6.3


B.5.2.2 Linear

For linear material behavior no further input is required.

Linear      
no parameters        



B.5.2.3 Hoek-Brown Rock Plasticity

The Hoek-Brown model is a special model for rock plasticity [§5.1.6].

Hoek-Brown rock plasticity YIELD HOEKBR §5.1.6
Unconfined compr. strength $ \sigma_{{\mathrm{ci}}}^{}$ YLDVAL sci §5.1.6
Constant mi mi YLDVAL mi §5.1.6
Geological strength index GSI YLDVAL gsi §5.1.6
Dilatancy angle (degrees) $ \psi$ YLDVAL dilat §5.1.6
Cap compressive stress   YLDVAL cap §5.1.6
Tension cut-off value   YLDVAL tensio §5.1.6


Plasticity.

Within Hoek-Brown rock plasticity you must choose one of the Rankine Principal Stress models [§5.1.3].

Simple Rankine YIELD RANKIN Fig.5.1a
Rankine yield stress $ \sigma_{{\mathrm{y}}}^{}$ YLDVAL sigy §5.1.3


Rankine/Von Mises YIELD RANVMI Fig.5.1b
Rankine yield stress $ \sigma_{{\mathrm{y}}}^{}$ YLDVAL fct §5.1.3
Von Mises yield stress $ \sigma_{{\mathrm{y}}}^{}$ YLDVAL fcc §5.1.3


Rankine/Drucker-Prager YIELD RANDRU Fig.5.1c
Rankine yield stress $ \sigma_{{\mathrm{y}}}^{}$ YLDVAL fct §5.1.3
Cohesion c YLDVAL ch §5.1.3
Sin(friction angle) sin$ \phi$ YLDVAL sph §5.1.3
Sin(dilatancy angle) sin$ \psi$ YLDVAL sps §5.1.3


Hardening/softening.

Within the Hoek-Brown model you may choose hardening and softening models [Fig.5.2]. Depending on you choice, iDIANA will ask you to fill in the appropriate parameter or to supply curve values via an external file . Note that no hardening will be applied if you choose the ideal plasticity for any of the previous plasticity models.

Ideal plasticity      
no parameters        


Work hardening in tensile HARDEN WORK §5.1.3
no parameters        


Strain hardening HARDEN STRAIN §5.1.3
no parameters        


Linear softening in comprs CMPNAM LINEAR Fig.5.2a
Fracture energy comp. failure Gc CMPVAL cv1 §5.1.3


Multi-linear soften comprs CMPNAM MULTLN Fig.5.2b
File stress hardn in compres. file CMPVAL cv k §5.1.3


Exp. soften comprs CMPNAM EXPONE Fig.5.2c
Fracture energy comp. failure Gc CMPVAL cv1 §5.1.3


Linear harden comprs CMPNAM LINHAR Fig.5.2d
Hardening modulus in compres. Ehar CMPVAL cv1 §5.1.3


Parab. hard/soften comprs CMPNAM PARABO Fig.5.2e
Fracture energy comp. failure Gc CMPVAL cv1 §5.1.3


Hordijk soften in comprs CMPNAM HORDYK Fig.5.2f
Fracture energy comp. failure Gc CMPVAL cv1 §5.1.3


Reinhardt soften in comprs CMPNAM REINHA Fig.5.2g
Fracture energy comp. failure Gc CMPVAL cv1 §5.1.3


Linear soften in tensile HARNAM LINEAR Fig.5.2a
Fracture energy tensile fail Gf HARVAL tv1 §5.1.3


Mult-lin. softn in tensile HARNAM MULTLN Fig.5.2b
File stress harden in tensile file HARVAL tv k §5.1.3


Exp. soften in tensile HARNAM EXPONE Fig.5.2c
Fracture energy tensile fail Gf HARVAL tv1 §5.1.3


Linear harden in tensile HARNAM LINHAR Fig.5.2d
Harden modulus tensile regime Ehar HARVAL tv1 §5.1.3


Parab. hard/soften tensile HARNAM PARABO Fig.5.2e
Fracture energy tensile fail Gf HARVAL tv1 §5.1.3


Hordijk soften in tensile HARNAM HORDYK Fig.5.2f
Fracture energy tensile fail Gf HARVAL tv1 §5.1.3


Reinhardt soften in tensile HARNAM REINHA Fig.5.2g
Fracture energy tensile fail Gf HARVAL tv1 §5.1.3



B.5.2.4 Granular Material

For drained soil behavior you may choose one of the following nonlinear elasticity models for granular materials [§4.2.1].

Nonlinear Grains ELAST GRAINS §4.2.1.1
Reference shear modulus G1 ELAVAL g1 §4.2.1.1
Reference compression modulus K1 ELAVAL k1 §4.2.1.1
Degree nonlinear elasticity n ELAVAL n §4.2.1.1
Linear Young's modulus Et ELAVAL emtens §4.2.1.1
Linear Poisson's ratio $ \nu_{{\mathrm{t}}}^{}$ ELAVAL nutens §4.2.1.1


Nonlinear Boyce ELAST BOYCE §4.2.1.2
Reference shear modulus G1 ELAVAL g1 §4.2.1.2
Reference compression modulus K1 ELAVAL k1 §4.2.1.2
Degree nonlinear elasticity n ELAVAL n §4.2.1.2


Nonlinear Jardine ELAST JARDIN §4.2.1.3
Strain at maximum stiffness C ELAVAL c §4.2.1.3
Strain at medium stiffness D ELAVAL d §4.2.1.3
Strain at minimum stiffness E ELAVAL e §4.2.1.3
Maximum stiffness F ELAVAL f §4.2.1.3
Medium stiffness G ELAVAL g §4.2.1.3
Minimum strain boundary $ \varepsilon_{{\mathrm{min}}}^{}$ ELAVAL emin §4.2.1.3
Maximum strain boundary $ \varepsilon_{{\mathrm{max}}}^{}$ ELAVAL emax §4.2.1.3



Plasticity.

You may suppress the application of a plasticity model within a Boyce model, or you may choose a specific plasticity model.

No plasticity      
no parameters        


Von Mises plasticity YIELD VMISES §5.1.1
Yield stress $ \sigma_{{\mathrm{y}}}^{}$ YLDVAL sy §5.1.1


Tresca plasticity YIELD TRESCA §5.1.1
Yield stress $ \sigma_{{\mathrm{y}}}^{}$ YLDVAL sy §5.1.1


Drucker-Prager plasticity YIELD DRUCKE §5.1.2
Cohesion c YLDVAL ch §5.1.2
Sin(friction angle) sin$ \phi$ YLDVAL sph §5.1.2
Sin(dilatancy angle) sin$ \psi$ YLDVAL sps §5.1.2


Mohr-Coulomb plasticity YIELD MOHRCO §5.1.2
Cohesion c YLDVAL ch §5.1.2
Sin(friction angle) sin$ \phi$ YLDVAL sph §5.1.2
Sin(dilatancy angle) sin$ \psi$ YLDVAL sps §5.1.2



B.5.2.5 Soil Plasticity

Depending on the specified drained/undrained behavior you may choose one of the following plasticity models with appropriate hardening.

Drucker-Prager plasticity YIELD DRUCKE §5.1.2
Cohesion c YLDVAL ch §5.1.2
Sin(friction angle) sin$ \phi$ YLDVAL sph §5.1.2
Sin(dilatancy angle) sin$ \psi$ YLDVAL sps §5.1.2


Mohr-Coulomb plasticity YIELD MOHRCO §5.1.2
Cohesion c YLDVAL ch §5.1.2
Sin(friction angle) sin$ \phi$ YLDVAL sph §5.1.2
Sin(dilatancy angle) sin$ \psi$ YLDVAL sps §5.1.2


Hardening.

Within a soil plasticity model you may specify the hardening. Note that no hardening will be applied if you choose for ideal plasticity for any of the previous plasticity models.

Ideal plasticity      
no parameters        


Strain hardening diagrams HARDEN STRAIN §5.1.2
File hardening diagram file HARDIA ch k §5.1.2
File sin(friction angle) diag. file FRCDIA sph k §5.1.2
File dilatancy diagram file DILDIA sps k §5.1.2



B.5.2.6 Cam-clay Model

For clay-like materials the Cam-clay model is available [§5.1.4].

Cam-clay model YIELD CLAY §5.1.4
Initial porosity n0 POROSI n §5.1.4.1


You may choose one out of two Cam-clay models: Modified or Egg.

Modified Cam-clay model ELAST CLAY §5.1.4.1
Sine of friction angle sin$ \phi$ YLDVAL sphi §5.1.4.1
Hardening parameter lambda $ \lambda$ YLDVAL lambda §5.1.4.1
Slope during reloading kappa $ \kappa$ ELAVAL k §5.1.4.1
Overconsolidation ratio $ \mathcal {OCR}$ OCR ocr §5.1.4.1


Egg Cam-clay model ELAST CLAY §5.1.4
no parameters        


Depending on further choices for input and preconsolidation iDIANA will ask you to fill in the appropriate parameters.

Regular input CAP   §5.1.4.1
Sine of friction angle sin$ \phi$ YLDVAL sphi §5.1.4.1
Hardening parameter lambda $ \lambda$ YLDVAL lambda §5.1.4.1
Slope during reloading kappa $ \kappa$ ELAVAL k §5.1.4.1
Overconsolidation ratio $ \mathcal {OCR}$ OCR ocr §5.1.4.1


Extended input     §5.1.4.2
Cap shape factor $ \alpha$ CAP alpha §5.1.4.2
Sine of friction angle sin$ \phi$ YLDVAL sphi §5.1.4.1
Hardening parameter lambda $ \lambda$ YLDVAL lambda §5.1.4.1
Slope during reloading kappa $ \kappa$ ELAVAL k §5.1.4.1


Enhanced input     §5.1.4.3
Cap shape factor $ \alpha$ CAP alpha §5.1.4.2
Sine of friction angle sin$ \phi$ YLDVAL sphi §5.1.4.3
Hardening parameter lambda $ \lambda$ YLDVAL lambda §5.1.4.3
Pressure shift $ \Delta$p YLDVAL pshift §5.1.4.3
Shape factor gamma $ \gamma$ YLDVAL gamma §5.1.4.3
Slope during reloading kappa $ \kappa$ ELAVAL k §5.1.4.3
Reference shift   ELAVAL pt §5.1.4.3


Initial stress      
Overconsolidation ratio $ \mathcal {OCR}$ OCR ocr §5.1.4.2
K-ratio of norm. consol. soil Knc KNC knc §5.1.4.2
Multip. fac. preconsol. stress $ \mathcal {OCR}$p OCRP ocrp §5.1.4.2


Expli. preconsolidation stress      
Preconsolidation stress p'c PRECON pc §5.1.4.2



B.5.2.7 Modified Mohr-Coulomb

The Modified Mohr-Coulomb model is available for soil and rock [§5.1.5].

Modified Mohr-Coulomb YIELD MMOHRC §5.1.5
no parameters        


You must make choices for elasticity [§5.1.5.1], the shear yield surface [§5.1.5.2], and the compression yield surface [§5.1.5.3].

Linear elasticity     §5.1.5.1
no parameters        


Exponential elasticity ELAST EXPONE §5.1.5.1
Exponential elasticity para. $ \kappa$ ELAVAL k §5.1.5.1
Pressure shift for elasticity p't ELAVAL pt §5.1.5.1
Initial void ratio e0 VOID e0 §5.1.5.1
Constant shear stiffness G SHRMOD g §5.1.5.1


Power Law Elasticity ELAST POWER §5.1.5.1
Reference compression modulus Kref ELAVAL kref §5.1.5.1
Reference pressure pref ELAVAL pref §5.1.5.1
Parameter m m ELAVAL m §5.1.5.1
Pressure shift for elasticity p't ELAVAL pt §5.1.5.1
Constant shear stiffness G SHRMOD g §5.1.5.1


Ideal shear plasticity      
Sine initial friction angle sin$ \phi_{{0}}^{}$ SINPHI sphi0 §5.1.5.2
Pressure shift for plasticity $ \Delta$p' PSHIFT dp §5.1.5.4


Shear plasticity + hardening FRCCRV MULTLN §5.1.5.2
File sine friction angle file FRCPAR sphi k §5.1.5.2
Pressure shift for plasticity $ \Delta$p' PSHIFT dp §5.1.5.4


Associated plasticity     §5.1.5.2
no parameters        


Constant dilatancy     §5.1.5.2
Sine of dilatancy angle sin$ \psi$ SINPSI spsi §5.1.5.2


Rowe dilatancy curve DILCRV ROWE §5.1.5.2
Sine frict. angle of con. vol. sin$ \phi_{{\mathrm{cv}}}^{}$ SINPCV spcv §5.1.5.2


Explicit preconsoli. stress      
Preconsolidation stress p'c0 PRECON pc §5.1.5.3


Initial stress      
Overconsolidation ratio $ \mathcal {OCR}$ OCR ocr §5.1.5.3
K-ratio of norm. consol. soil Knc KNC knc §5.1.5.3
Multip. fac. preconsol. stress $ \mathcal {OCR}$p OCRP ocrp §5.1.5.3


Ideal cap plasticity      
Preconsolidation stress p'c0 PRECON pc §5.1.5.3


Cap plasticity+exp. harden      
Preconsolidation stress p'c0 PRECON pc §5.1.5.3
Gamma $ \gamma$ GAMMA gamma §5.1.5.3


Cap plasticity+power. hard.      
Gamma $ \gamma$ POWPAR gamma §5.1.5.3
Reference pressure Pref pref POWPAR pref §5.1.5.3
M m POWPAR m §5.1.5.3


Default cap shape CAP   §5.1.5.4
no parameters        


Spherical cap shape     §5.1.5.4
no parameters        


User-defined cap shape     §5.1.5.4
Cap shape factor $ \alpha$ CAP alpha §5.1.5.4


Mohr-Coulomb deviatoric shape     §5.1.5.4
no parameters        


Drucker-Prager deviator. shape SHPFAC 0. 0. §5.1.5.4
no parameters        


User-spec. deviatoric shape     §5.1.5.4
Beta 1 $ \beta_{{1}}^{}$ SHPFAC beta1 §5.1.5.4
Beta 2 $ \beta_{{2}}^{}$ SHPFAC beta2 §5.1.5.4


B.5.2.8 Simple Soil Models

For drained soil behavior you may choose one of the following simple soil models: Hardin-Drnevich or Ramberg-Osgood [§9.6.1].

Hardin-Drnevich SOIL HARDRN §9.6.1.1
Characteristic shear strain $ \gamma_{\mathrm}^{}$r GAMMAR gammar §9.6.1.1


You may choose one out of two methods to determine the bulk modulus: initial stiffness based bulk modulus, or current shear based bulk modulus.

Initial stiffness based bulk modulus BULKMO INISTF §9.6.1.1
no parameters        


Current shear based bulk modulus BULKMO CURSHE §9.6.1.1
no parameters        


Ramberg-Osgood SOIL RAOSGO §9.6.1.2
Characteristic shear strain $ \gamma_{\mathrm}^{}$r GAMMAR gammar §9.6.1.2
Alpha $ \alpha$ ALPHA alpha §9.6.1.2
Beta $ \beta$ BETA beta §9.6.1.2


You may choose one out of two methods to determine the bulk modulus: initial stiffness based bulk modulus, or current shear based bulk modulus.

Initial stiffness based bulk modulus BULKMO INISTF §9.6.1.2
no parameters        


Current shear based bulk modulus BULKMO CURSHE §9.6.1.2
no parameters        


B.5.2.9 Liquefaction

Via the material form you may choose one of the following models for liquefaction of soil [§9.7].

Towhata-Iai liquefaction LIQUEF TOWHAT §9.7.1
Reference mean pressure p'ref PREF pref §9.7.1
Bulk modulus at ref. stress Kref BLKREF kref §9.7.1
Shear modulus ref. pressure Gref SHRREF gref §9.7.1
Sine shear resistance angle $ \phi_{{\mathrm{f}}}^{}$ SINPHF sphif §9.7.1
Normalized plastic shear work w1 W1 w1 §9.7.1
Sine phase transform. angle $ \phi_{{\mathrm{p}}}^{}$ SINPHP sphip §9.7.1
Threshold level C1 c1 C1 c1 §9.7.1
P1 p1 P1 p1 §9.7.1
P2 p2 P2 p2 §9.7.1
S1 s1 S1 s1 §9.7.1
Limit value virtual damping hv HV hv §9.7.1
Number of springs   NSPRIN nsprin §9.7.1


Nishi liquefaction LIQUEF NISHI §9.7.2
Modified swelling parameter $ \kappa^{{*}}_{}$ KAPSTA kapsta §9.7.2
Shear resist. angle (failure) $ \phi$ PHI phi §9.7.2
Shear resist angle max compr. $ \phi_{{\mathrm{p}}}^{}$ PHIM phip §9.7.2
M* m* MSTAR mstar §9.7.2
Exponent n NEX n §9.7.2
G0* G0* G0STAR g0star §9.7.2
Beta 1 $ \beta_{{1}}^{}$ BETA beta1 §9.7.2
Beta 2 $ \beta_{{2}}^{}$ BETA beta2 §9.7.2


Bowl liquefaction LIQUEF BOWL §9.7.3
Reference isotropic pressure $ \sigma{^\prime}_{{\mathrm{m.ref}}}$ PREF sigref §9.7.3
Reference shear modulus Gref SHRREF gref §9.7.3
Reference shear strain $ \gamma_{{0.5}}^{}$ GAMMAR gamref §9.7.3
Maximum damping ratio hmax HMAX hmax §9.7.3
Swelling parameter $ \kappa$ KAPPA kappa §9.7.3
A A A a §9.7.3
B B B b §9.7.3
C C C c §9.7.3
D D D d §9.7.3
Min. liquefaction resistance Xlim XL xl §9.7.3



next up previous contents index
Next: B.5.3 Masonry Up: B.5 Static Nonlinearity Previous: B.5.1 Concrete and Brittle   Contents   Index
DIANA-9.3 User's Manual - Material Library
First ed.

Copyright (c) 2008 by TNO DIANA BV.