Hardening Soil model with small strain stiffness - Zace Services Ltd.

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Estimation of material properties: E ref 50 Reanalyze E 50 vs σ 3 in logarithmic scales Here we can fix m to the one obtained for small strain moduli Find ( intersection of the line with axis ln E 50 at σ ∗ ) 3 + c cotφ ln σ ref = 0 + c cotφ Here the intersection is at ≈ 10.30 hence E50 ref ≈ e10.30 ≈ 2.718 10.30 ≈ 30000 kPa ln E 50 11.4 11.2 11 10.8 10.6 ⎛ σ 3 + c cotφ ⎞ ln⎜ ⎟ σ + c cotφ ref 10.4 10.30 ⎝ ⎠ 10.2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Andrzej Truty ZACE Services Hardening Soil model with small strain stiffness
Estimation of material properties: E ref ur The unloading reloading modulus as well as oedometric moduli are usually not accessible We can use Alpans diagram to deduce E ref ur E ref o (default is E ur ref Eo ref this value is larger once we know = 3); for cohesive soils like tertiary clays For oedometric modulus at the reference stress σ ref = 100 kPa we can assume Eoed ref = E 50 ref γ 0.7 = 0.0001...0.0002 for sands and γ 0.7 = 0.00005...0.0001 for clays Smaller γ 0.7 values yield softer soil behavior Andrzej Truty ZACE Services Hardening Soil model with small strain stiffness
Page 1 and 2: Hardening Soil model with small str
Page 3 and 4: Introduction HS model was initially
Page 5 and 6: Notion of tangent and secant stiffn
Page 7 and 8: Notion of treshold shear strain γ
Page 9 and 10: HS model: general concept Double ha
Page 11 and 12: Stiffness stress dependency Remarks
Page 13 and 14: How does it work N-1 N N+1 plot fr
Page 15 and 16: Setting initial state variables: γ
Page 17 and 18: Setting initial state variables: γ
Page 19 and 20: Material properties Parameter Unit
Page 21 and 22: Example: triaxial test on dense Hos
Page 23 and 24: Example: triaxial test on dense Hos
Page 25 and 26: Estimation of material properties:
Page 33: Estimation of material properties:
Page 37 and 38: Excavation in Berlin Sand: FE discr
Page 39 and 40: Excavation in Berlin Sand: Wall def
Page 41 and 42: Excavation in Berlin Sand: Soil def

Hardening Soil model with small strain stiffness - Zace Services Ltd.

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