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

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Extension to small strain: new ingredients To extend standard HS model to the range of small strain Benz introduced few modifications: 1 Strain dependency is added to the stress-strain relation, for stress paths penetrating the elastic domain 2 The modified Hardin-Drnevich relationship is used to relate current secant shear modulus G and equivalent monotonic shear strain γ hist 3 Reversal points are detected with aid of deviatoric strain history second order tensor H ij ; in addition the current equivalent shear strain γ hist is computed by using this tensor Andrzej Truty ZACE Services Hardening Soil model with small strain stiffness
How does it work N-1 N N+1 plot from paper by Ishihara 1986 At step N : γ histN−1 = 8 × 10 −5 γ histN = 10 −4 At step N + 1 : γ histN = 0 γ histN+1 = 2 × 10 −5 Primary loading: γ histN+1 > γhist max Unloading/reloading: γ histN+1 ≤ γ max Hardin-Drnevich law: G = hist G o 1 + a γ hist γ 0.7 (secant modulus) 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: Stiffness stress dependency Remarks
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 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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