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RECENT ADVANCES IN MODELING
SOIL-STRUCTURE INTERACTION
USING OPENSEES
Pedro Arduino
Kathryn Petek, Chris McGann
University of Washington
First European Conference on OpenSees
Porto, Portugal June 19-20 2017
Background: Interface Behavior
Soil-structure interaction: stick, slip, debonding, and
rebonding behavior
(Desai et al., 1988)
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
Background: Interface Behavior
Soil-structure interaction: stick, slip, debonding, and
rebonding behavior
Finite Element approaches:
 Zero-length elements
 Joint and thin-layer elements
 Gap elements Body
A Body
B
(Taciroglu et al., 2003)(Desai et al., 1984)
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
Contact Element Formulation
Using the method of Lagrange
Multipliers, the element utilizes the
Hertz-Signori-Moreau conditions for
contact: tn
g
0g 0nt 0 gtn
Contact element applies a geometric constraint to the system that
relates a slave node to a master contact line segment or
surface.
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
Contact Material Formulation
 The geometric constraints are related with an
interface constitutive law:
 Mohr-Coulomb Friction Law
 Can also use non-linear and history dependent material
models, including specific models for concrete
structures on soil
0 cttf ns 
tn
ts

c
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
Contact Material Formulation
0 cttf ns 
s
ts
G
 tn
f = 0
sticking sliding
f < 0
Elastic
slip
Plastic slip
s
ts
tn
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
Contact Element Formulation
s
ts
tn
g1
g2
s
ts
tn
n
xx_n
xx_n+1
2D Node-to-Line Element 3D Node-to-Surface Element
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
OpenSees Contact Element
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
Example 1: Friction Pile
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
Example 2: Pushover Analysis with
Plastic Soil
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
Beam-Solid Contact Element
Soil: solid elements
Pile: beam elements
Pile-Soil Interface: ?
Beam-Solid
Contact Element
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
r
Surface, G
Beam-Solid Contact Element
rg cs  )( xxn
xa
xb
xs
Contact Constraint:
xc
n
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
g >0
r
Surface, G
Beam-Solid Contact Element
rg cs  )( xxn
0
 G
g
cs xx
G
cx
xa
xb
xs
Contact Constraint:
If in contact:
xc
n
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
Beam-Solid Contact Element
G
cx
xa
xb
jc (x, a1, b1)
a1
b1
xc
x
xc = jc (xc)
c1 = jc, x (xc)
c1
n
xc
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
OpenSees - Contact Elements
3D Node-to-Surface
Element
2D Node-to-Line
Element
3D Beam-to-Solid
Element
3D End-Beam-to-
Solid Element
Master node
Slave node
tn
g
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
Beam-Solid ModelSolid-Solid Model Fiber element
3D Pile Analysis
solid-solid vs beam-solid contact
Moment curvature response for single shaft
Pile Validation: Laterally Loaded Piles
 Perform numerical load test  Compare results
3x Magnification
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
Pile Validation: Laterally Loaded Piles
 Evaluation of beam response Numerical p-y curves
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
Application Problem:
Lateral Spreading Pile Pinning
Liquefiable Soil
Embankment
/ General
slope
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
Application Problem:
Lateral Spreading Pile Pinning
Liquefied Soil
Embankment
/ General
slope
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Application Problem:
Lateral Spreading Pile Pinning
Case study: Mataquito Bridge
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Case Study: Mataquito Bridge
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Source: FHWA-HRT-11-030
Case Study: Mataquito Bridge
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Source: FHWA-HRT-11-030
Mataquito Bridge: Idealized Soil Profile
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Mataquito Bridge: Idealized Soil Profile
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Mataquito Bridge: Foundations
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Abutment with 4x2 drilled shaft group
Mataquito Bridge: Shaft Model
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Typical drilled shaft cross-section Fiber discretization for section
Uniaxial constitutive models for concrete and steel fibers
3D Finite Element Model
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Full site domainModel domain
3D Finite Element Model
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Modeling the abutment and grouped shaft foundation
Bridge deck spring
3D Finite Element Model
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Applied kinematic approach
Two approaches are used to simulate the kinematic demands of lateral spreading
3D Applied Kinematic Model
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
existing 3D embankment geometry wide embankment geometry
3D Applied Kinematic Model
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
existing 3D embankment geometry wide embankment geometry
3D Applied Kinematic Model
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
existing 3D embankment geometry wide embankment geometry
Displacement fields in direction of loading
100 cm
0
50 cm
75 cm
25 cm
3D Applied Kinematic Model
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Abutment displacement with increasing free-field soil displacement
3D Applied Kinematic Model
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Deformation of shafts with contact forces acting on their surfaces
3D Applied Kinematic Model
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Foundation displacement comparison for 5 cm gap
3D Applied Kinematic Model
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Foundation bending demands at closure of 5 cm gap
3D Applied Kinematic Model
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Foundation bending demands at analysis end for 5 cm gap
Pile Pinning Analysis – Procedure
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Pushover Analysis with Beam on Nonlinear Winkler Foundation Model
Pile Pinning Analysis – Procedure
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Slope Stability Analysis of Approach Embankment
Newmark rigid sliding block analysis – Bray and Travasarou (2007)
Pile Pinning Analysis – Procedure
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Determination of Compatible Force-Displacement State
Pile Pinning Analysis – Mataquito
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
Compatible states for slope stability analysis with simplified Janbu method
Pile Pinning Analysis – Mataquito
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
All considered cases in pile pinning analysis – 5 cm analysis end in 3D
Bending demand comparison for pile pinning and 3D applied kinematic model
Concluding Remarks
First European Conference on OpenSees, June
19-20, 2017, Porto, Portugal
► Constraint based contact interface elements capture well pile-soil interface
behavior
►Validation simulations & practical application studies demonstrate value and
usability of beam-solid contact elements
►The effects of three-dimensional soil deformation on the structural demands
developed in bridge foundations during lateral spreading have been
demonstrated
►The OpenSees models captured the fundamental responses observed at
the Mataquito bridge and identified important deformation mechanisms
►The existing pile pinning analysis procedure was shown to estimate
foundation bending demands that were consistent with results obtained from
3D FEA and an approach to dealing with the variability of the method was
proposed and demonstrated
Thanks!
This work is funded by the Washington State Department of
Transportation (WSDOT) and the Pacific Earthquake Engineering
Research Center (PEER)
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal
Thanks!
This work is funded by the Washington State Department of
Transportation (WSDOT) and the Pacific Earthquake Engineering
Research Center (PEER)
First European Conference on OpenSees,
June 19-20, 2017, Porto, Portugal

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Recent advances in modeling soil-structure interaction problems using OpenSees

  • 1. RECENT ADVANCES IN MODELING SOIL-STRUCTURE INTERACTION USING OPENSEES Pedro Arduino Kathryn Petek, Chris McGann University of Washington First European Conference on OpenSees Porto, Portugal June 19-20 2017
  • 2. Background: Interface Behavior Soil-structure interaction: stick, slip, debonding, and rebonding behavior (Desai et al., 1988) First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 3. Background: Interface Behavior Soil-structure interaction: stick, slip, debonding, and rebonding behavior Finite Element approaches:  Zero-length elements  Joint and thin-layer elements  Gap elements Body A Body B (Taciroglu et al., 2003)(Desai et al., 1984) First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 4. Contact Element Formulation Using the method of Lagrange Multipliers, the element utilizes the Hertz-Signori-Moreau conditions for contact: tn g 0g 0nt 0 gtn Contact element applies a geometric constraint to the system that relates a slave node to a master contact line segment or surface. First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 5. Contact Material Formulation  The geometric constraints are related with an interface constitutive law:  Mohr-Coulomb Friction Law  Can also use non-linear and history dependent material models, including specific models for concrete structures on soil 0 cttf ns  tn ts  c First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 6. Contact Material Formulation 0 cttf ns  s ts G  tn f = 0 sticking sliding f < 0 Elastic slip Plastic slip s ts tn First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 7. Contact Element Formulation s ts tn g1 g2 s ts tn n xx_n xx_n+1 2D Node-to-Line Element 3D Node-to-Surface Element First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 8. OpenSees Contact Element First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 9. Example 1: Friction Pile First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 10. Example 2: Pushover Analysis with Plastic Soil First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 11. Beam-Solid Contact Element Soil: solid elements Pile: beam elements Pile-Soil Interface: ? Beam-Solid Contact Element First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 12. r Surface, G Beam-Solid Contact Element rg cs  )( xxn xa xb xs Contact Constraint: xc n First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal g >0
  • 13. r Surface, G Beam-Solid Contact Element rg cs  )( xxn 0  G g cs xx G cx xa xb xs Contact Constraint: If in contact: xc n First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 14. Beam-Solid Contact Element G cx xa xb jc (x, a1, b1) a1 b1 xc x xc = jc (xc) c1 = jc, x (xc) c1 n xc First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 15. OpenSees - Contact Elements 3D Node-to-Surface Element 2D Node-to-Line Element 3D Beam-to-Solid Element 3D End-Beam-to- Solid Element Master node Slave node tn g First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 16. Beam-Solid ModelSolid-Solid Model Fiber element 3D Pile Analysis solid-solid vs beam-solid contact Moment curvature response for single shaft
  • 17. Pile Validation: Laterally Loaded Piles  Perform numerical load test  Compare results 3x Magnification First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 18. Pile Validation: Laterally Loaded Piles  Evaluation of beam response Numerical p-y curves First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 19. Application Problem: Lateral Spreading Pile Pinning Liquefiable Soil Embankment / General slope First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 20. Application Problem: Lateral Spreading Pile Pinning Liquefied Soil Embankment / General slope First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 21. First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Application Problem: Lateral Spreading Pile Pinning
  • 22. Case study: Mataquito Bridge First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 23. Case Study: Mataquito Bridge First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Source: FHWA-HRT-11-030
  • 24. Case Study: Mataquito Bridge First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Source: FHWA-HRT-11-030
  • 25. Mataquito Bridge: Idealized Soil Profile First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 26. Mataquito Bridge: Idealized Soil Profile First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 27. Mataquito Bridge: Foundations First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Abutment with 4x2 drilled shaft group
  • 28. Mataquito Bridge: Shaft Model First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Typical drilled shaft cross-section Fiber discretization for section Uniaxial constitutive models for concrete and steel fibers
  • 29. 3D Finite Element Model First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Full site domainModel domain
  • 30. 3D Finite Element Model First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Modeling the abutment and grouped shaft foundation Bridge deck spring
  • 31. 3D Finite Element Model First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Applied kinematic approach Two approaches are used to simulate the kinematic demands of lateral spreading
  • 32. 3D Applied Kinematic Model First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal existing 3D embankment geometry wide embankment geometry
  • 33. 3D Applied Kinematic Model First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal existing 3D embankment geometry wide embankment geometry
  • 34. 3D Applied Kinematic Model First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal existing 3D embankment geometry wide embankment geometry Displacement fields in direction of loading 100 cm 0 50 cm 75 cm 25 cm
  • 35. 3D Applied Kinematic Model First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Abutment displacement with increasing free-field soil displacement
  • 36. 3D Applied Kinematic Model First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Deformation of shafts with contact forces acting on their surfaces
  • 37. 3D Applied Kinematic Model First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Foundation displacement comparison for 5 cm gap
  • 38. 3D Applied Kinematic Model First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Foundation bending demands at closure of 5 cm gap
  • 39. 3D Applied Kinematic Model First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Foundation bending demands at analysis end for 5 cm gap
  • 40. Pile Pinning Analysis – Procedure First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Pushover Analysis with Beam on Nonlinear Winkler Foundation Model
  • 41. Pile Pinning Analysis – Procedure First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Slope Stability Analysis of Approach Embankment Newmark rigid sliding block analysis – Bray and Travasarou (2007)
  • 42. Pile Pinning Analysis – Procedure First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Determination of Compatible Force-Displacement State
  • 43. Pile Pinning Analysis – Mataquito First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal Compatible states for slope stability analysis with simplified Janbu method
  • 44. Pile Pinning Analysis – Mataquito First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal All considered cases in pile pinning analysis – 5 cm analysis end in 3D Bending demand comparison for pile pinning and 3D applied kinematic model
  • 45. Concluding Remarks First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal ► Constraint based contact interface elements capture well pile-soil interface behavior ►Validation simulations & practical application studies demonstrate value and usability of beam-solid contact elements ►The effects of three-dimensional soil deformation on the structural demands developed in bridge foundations during lateral spreading have been demonstrated ►The OpenSees models captured the fundamental responses observed at the Mataquito bridge and identified important deformation mechanisms ►The existing pile pinning analysis procedure was shown to estimate foundation bending demands that were consistent with results obtained from 3D FEA and an approach to dealing with the variability of the method was proposed and demonstrated
  • 46. Thanks! This work is funded by the Washington State Department of Transportation (WSDOT) and the Pacific Earthquake Engineering Research Center (PEER) First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal
  • 47. Thanks! This work is funded by the Washington State Department of Transportation (WSDOT) and the Pacific Earthquake Engineering Research Center (PEER) First European Conference on OpenSees, June 19-20, 2017, Porto, Portugal