Nonlinear Dynamic Analysis and Seismic Coefficient for Abutments and Retaining Walls

Two-dimensional computational models of bridge abutment-soil systems are developed using the OpenSees framework. Nonlinear hysteretic behavior of backfill and foundation soil is simulated through a pressure-dependent nested yield surface plasticity model. Sliding and debonding at the soil-structure interfaces are simulated using node-to-node contact elements. Cantilever abutments and retaining walls of 6 m and 12 m height are analyzed using two recorded free-field accelerograms scaled for peak ground acceleration values of 0.12 g, 0.24 g, 0.36 g, 0.48 g, 0.60 g, and 0.72 g. Further, pseudo-static analysis using Mononobe-Okabe theory is carried out with varying seismic coefficients, and the results are compared with those of the dynamic analyses. Based on this comparison, recommendations are made for the value of seismic coefficient to be used in pseudo-static analysis so as to obtain results that are comparable to those obtained through a sophisticated nonlinear analysis.

[1]  J. Lysmer,et al.  Finite Element Method Accuracy for Wave Propagation Problems , 1973 .

[2]  Anestis S. Veletsos,et al.  Dynamic soil pressures on rigid vertical walls , 1994 .

[3]  J. Lysmer,et al.  Finite Dynamic Model for Infinite Media , 1969 .

[4]  Robert M. Ebeling,et al.  Seismic Analysis of Cantilever Retaining Walls, Phase I , 2002 .

[5]  Joel P. Conte,et al.  Two-Dimensional Nonlinear Earthquake Response Analysis of a Bridge-Foundation-Ground System , 2008 .

[6]  Rowland Richards,et al.  Seismic Behavior of Gravity Retaining Walls , 1979 .

[7]  Thomas J. R. Hughes,et al.  Improved numerical dissipation for time integration algorithms in structural dynamics , 1977 .

[8]  J. C. Simo,et al.  A continuum-based finite element formulation for the implicit solution of multibody, large deformation-frictional contact problems , 1993 .

[9]  I. Towhata Geotechnical Earthquake Engineering , 2008 .

[10]  Jinchi Lu,et al.  OpenSees Soil Models and Solid- Fluid Fully Coupled Elements User's Manual , 2008 .

[11]  Yung-Show Fang,et al.  DYNAMIC EARTH PRESSURES WITH DIFFERENT WALL MOVEMENT MODES , 1987 .

[12]  Robert V. Whitman,et al.  Design of Earth Retaining Structures for Dynamic Loads , 1970 .

[13]  Arley G Franklin,et al.  Earthquake Resistance of Earth and Rock-Fill Dams. Report 5. Permanent Displacements of Earth Embankments by Newmark Sliding Block Analysis. , 1977 .

[14]  N. Newmark Effects of Earthquakes on Dams and Embankments , 1965 .

[15]  R. S. Steedman,et al.  Rotating Block Method for Seismic Displacement of Gravity Walls , 2000 .

[16]  P. Wriggers,et al.  FINITE ELEMENT FORMULATION OF LARGE DEFORMATION IMPACT-CONTACT PROBLEMS WITH FRICTION , 1990 .

[17]  Wai-Fah Chen,et al.  Limit analysis in soil mechanics , 1990 .

[18]  Panos Kloukinas,et al.  An alternative to the Mononobe–Okabe equations for seismic earth pressures , 2007 .

[19]  Anestis S. Veletsos,et al.  Dynamic response of cantilever retaining walls , 1996 .

[20]  Ikuo Towhata,et al.  Prediction of Lateral Displacement of Anchored Bulkheads Induced by Seismic Liquefaction , 1987, Soils and Foundations.

[21]  F. Armero,et al.  A new dissipative time-stepping algorithm for frictional contact problems: formulation and analysis , 1999 .

[22]  S. Emerson,et al.  AASHTO (American Association of State Highway and Transportation Officials). 2001. A Policy on Geometric Design of Highways and Streets. Fourth Edition. Washington, D.C. , 2007 .

[23]  Kamran Zarrabi-Kashani,et al.  Sliding of gravity retaining wall during earthquakes considering vertical acceleration and changing inclination of failure surface , 1979 .

[24]  Makoto Kawamura PREDICTION OF LATERAL DISPLACEMENT OF ANCHORED BULKHEADS INDUCED BY SEISMIC LIQUEFACTION , 1989 .

[25]  Yung-Show Fang,et al.  Dynamic earth pressures on walls rotating about the top. , 1984 .

[26]  S. Ohara,et al.  Lateral Earth Pressure and Stability of Quay Walls During Earth-Quakes , 1976 .

[27]  A. H. Hadjian,et al.  Two-dimensional approximations to the three-dimensional soil-structure interaction problem , 1974 .

[28]  F. Armero,et al.  Formulation and analysis of conserving algorithms for frictionless dynamic contact/impact problems , 1998 .

[29]  W. B. Joyner,et al.  A method for calculating nonlinear seismic response in two dimensions , 1975 .

[30]  Mehmet A. Sherif,et al.  Earth Pressures against Rigid Retaining Walls , 1982 .

[31]  J. C. Simo,et al.  An augmented lagrangian treatment of contact problems involving friction , 1992 .