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

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Dynamic vs static modulus Relation between ”static” Young modulus E s , obtained from standard triaxial test at axial strain ε 1 ≈ 10 −3 , and ”dynamic” Young modulus (the one at very small strains) E d = E o is shown in diagram published by Alpan (1970) (after Benz) 100 E E d s Rocks 10 cohesive soils granular soils E s [kPa] 1 1000 10000 100000 1000000 Andrzej Truty ZACE Services Hardening Soil model with small strain stiffness
HS model: general concept Double hardening elasto-plastic model (Schanz, Vermeer, Benz) Nonlinear elasticity for stress paths penetrating the interior of the elastic domain 600 q [kPa] 500 400 300 200 Cap surface 100 0 0 100 200 300 400 500 p [kPa] Graphical representation of shear mechanism and cap surface 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: Notion of treshold shear strain γ
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 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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