Shear Stress-Strain Curves Based on the G/Gmax Logic: A Procedure for Strength Compatibility
Publication: IACGE 2013: Challenges and Recent Advances in Geotechnical and Seismic Research and Practices
Abstract
Hyperbolic models are frequently used in practice to represent nonlinear shear stress-shear strain behavior of soils in equivalent linear and nonlinear dynamic modeling problems. Several researchers have proposed shear modulus reduction (G/Gmax versus \xg) curves that use the hyperbolic model as their basis, with parameters that fit the models to cyclic laboratory test results. However, cyclic laboratory tests often are not run to failure shear stress levels. Consequently, the model G/Gmax curves are well constrained by the data at small-to-moderate shear strains, but do not necessarily provide an accurate representation of soil strength at large shear strains. In some cases, the shear strength can be grossly inaccurate, which may result in significant errors for analyses involving shear stress levels at or near failure. In this paper, a new hybrid methodology is presented that permits simultaneous matching of: 1) the conventional shear modulus reduction curves that are well calibrated at small-to-moderate shear strains and; 2) the soil shear strength at large strain. This hybrid approach produces shear modulus reduction curves that result in corresponding, hyperbolic-like, smooth, stress-strain, backbone curves. These curves assure that the soil shear strength consideration is accurately represented for the purposes of both equivalent-linear and nonlinear analyses.
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© 2013 American Society of Civil Engineers.
History
Published online: Nov 12, 2013
ASCE Technical Topics:
- Curvature
- Engineering fundamentals
- Geomechanics
- Geometry
- Geotechnical engineering
- Material mechanics
- Material properties
- Materials engineering
- Mathematics
- Mechanical properties
- Shear modulus
- Shear strength
- Shear stress
- Soil mechanics
- Soil modulus
- Soil properties
- Soil strength
- Strain
- Strength of materials
- Stress (by type)
- Stress strain relations
- Structural analysis
- Structural engineering
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