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List of SIGMA/W Features

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Comprehensive incremental stress-strain formulation

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Multiple options for in situ stress definition

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Complete range of boundary conditions

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Rigorous stress-update algorithm for handling non-linear material models

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Saturated-unsaturated formulation

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Expansive structural element library

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Coupled stress and pore-water pressure formulation

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Comprehensive constitutive model list including non-linear soil and rock material models

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Stress redistribution analysis

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Straightforward construction sequence simulation

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Estimation routines for typical material properties

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Automated strength reduction stability

KEY FEATURES

STRESS HISTORY

In situ stresses can be established with gravity activation or the K0 procedure, which both consider the volumertric water content function to determine effective stress in the unsaturated zone. The at-rest earth pressure coefficient may be defined in all material models.

LOAD-DEFORMATION

Unloading or loading activities can be simply and accurately modelled, including submerged fill placement, dam and tailings embankment construction, deep excavations, and open pit mine construction.

COUPLED CONSOLIDATION

The coupled stress and pore-water pressure formulation can handle complex analyses with saturated or unsaturated soils. This is useful for construction sequences involving fill placement, excavation, and soil structure interaction.

STRESS REDISTRIBUTION

The stress redistribution algorithm is capable of doing stress correction for any material model with a failure criteria. Automated Strength Reduction Stability is also available as an alternative to the limit equilibrium stability method.

SIGMA/W MODELS A FULL RANGE OF DEFORMATION PROBLEMS
STAGED FILL OR EXCAVATION DESIGN
The rigorous stress-strain formulation of SIGMA/W, and the seamless workflow of GeoStudio, simplifies the analysis of complex staged construction problems involving cut slopes and fill placement. Simulations of this nature are required to simulate the construction of earth and rock fill embankments, tailings dams, railway and roadway cuts, and more. SIGMA/W’s coupled stress-strain and water transfer formulation makes it possible to also analyze the simultaneous generation and dissipation of excess pore-water pressures, allowing for the design of sub-surface drainage systems with the software.
STABILITY AND DEFORMATION OF SLOPES
SIGMA/W can be used to model the deformation of natural and cut slopes under a variety of loading conditions resulting from changes to the groundwater flow system, strength loss due to strain-softening, and construction activities. SIGMA/W’s Strength Reduction Stability (SRS) technique can be used to calculate a safety factor against failure while simultaneously providing information about deformations resulting in strength loss.
REINFORCEMENT AND SLOPE STABILIZATION
Deep excavations for civil, geotechnical, and mining applications often involve complex soil-structure interaction. The rigorous structural element formulations, combined with a comprehensive material model library, make SIGMA/W the ideal tool for modeling struts, pile and sheet walls, anchorage, tunnel lining, and more. SIGMA/W’s Stress Redistribution analysis also makes it possible to simulate load transfers and structural responses for projects involving slope stabilization by means of engineered structures (e.g. soldier pile wall). In all cases, SIGMA/W can be used to ensure that the structures are designed to safely carry the loads and to ensure that overall stability is established with an acceptable margin of safety.
VIEWING THE ANALYSIS RESULTS
Once you have solved your analysis, SIGMA/W offers many tools for viewing results. View a deformed mesh or displacement vectors at any magnification. Generate contours or x-y plots of more than 30 computed parameters, including deformation, total and effective stress, strain and pore-water pressure. Display shaded yield zones. View the stress state at any node or element Gauss point as a Mohr Circle with the associated space-force diagrams. Plot shear or moment distribution along structural elements. Then prepare the results for your report by adding labels, axes, and pictures, or export the results into other applications such as Microsoft® Excel® for further analysis.
TYPICAL APPLICATIONS
SIGMA/W can model almost any stress or deformation problem, including:

  • Settlement of footings, fluid-filled tanks, or earth structures
  • Deformation within or underneath an embankment or earth dam
  • Closure around a tunnel
  • Lateral movement of braced or anchored excavations and surface settlement around the excavation
  • Floor rebound of open-pit, sloping excavations
  • Volume changes (uncoupled consolidation or heave) resulting from pore-water pressure changes

  • Staged fill placement, earth removal
  • Soil-structure interaction, including free un-bonded anchors, cross excavation struts, and trusses
  • Fully-coupled consolidation analysis
  • Simulation of tailings deposition
  • Permanent deformations resulting from strength loss
  • Strength reduction stability
  • plus many more!

THE POWER OF INTEGRATION
SIGMA/W offers simple but powerful analytical capabilities when used in combination with other GeoStudio products.
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SIGMA/W STRESSES IN SLOPE/W

There are many geotechnical cases where it is desirable to not only perform a deformation analysis, but also to look at stability. In other instances, a SLOPE/W limit equilibrium stability analysis alone is inadequate. For cases like this, the SIGMA/W computed stresses can be used in SLOPE/W to compute the safety factors.

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SIGMA/W INTEGRATION WITH SEEP/W

Excess pore-water pressures generated in SIGMA/W by external loads (e.g., fill placement) can be used as initial conditions in a transient SEEP/W analysis. The simulated dissipation rates can be used to develop construction-staging schedules. SEEP/W pore-water pressures can be used by SIGMA/W to simulate in situ effective stresses.

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SIGMA/W STRESSES IN QUAKE/W

Establishing in situ static stresses can be done simplistically in QUAKE/W. Alternatively, you can use the load sequencing and non-linear constitutive soil models in SIGMA/W to improve the estimation of the static stress conditions, and then use them as the initial static stresses in a QUAKE/W dynamic analysis.

FORMULATION
SIGMA/W is formulated for 2-dimensional plane strain or axisymmetric problems using a small displacement, small strain, incremental load formulation. For each load step, incremental displacement at each node resulting from the incremental load is computed and added to the displacement at the beginning of the load step to give the total displacement. For soil models with nonlinear material properties, SIGMA/W solves the equations iteratively using the Newton-Raphson technique; soil properties are updated every iteration until a converged solution is achieved.

You can simulate the filling and excavation of materials by activating or deactivating regions at various stages of the construction process. SIGMA/W can be used with SEEP/W for uncoupled consolidation analyses. SEEP/W calculates transient pore-water pressure changes due to the applied load, while SIGMA/W calculates deformations resulting from the pore-water pressure changes.

FEATURES

  • Analysis types include drained total and effective stress, undrained total and effective stress, 2D plane strain, 3D axisymmetric, consolidation and swelling, and insitu stress.
  • Constitutive soil models include linear-elastic, anisotropic linear-elastic, elastic-plastic, and Modified Cam-clay.
  • Boundary condition types include X and Y displacements, forces, pressures, and spring constants, as well as self-weight gravity loading.
  • Structural beam and bar elements for soil-structure interaction.
  • Staged loading for fill placement or earth removal.
  • Uncoupled volume change due to pore-pressure changes.
  • Fully-coupled stress-pore pressure analyses.
  • User-defined Add-In constitutive models.

INTEGRATION WITH OTHER APPLICATIONS
USE SIGMA/W STRESSES IN SLOPE/W OR QUAKE/W
Using finite element computed stresses in SLOPE/W makes it possible to conduct a rigorous stability analysis using the same stress values resulting from the deformation analysis. In addition, you can use SIGMA/W stresses as the initial stress state for a dynamic earthquake analysis in QUAKE/W.
USE SIGMA/W PORE-WATER PRESSURES IN SLOPE/W OR SEEP/W
Excess pore-water pressures generated by static loading, such as fill placement, can be brought into SEEP/W to study how long it takes to dissipate the excess pressures in the foundation. You can use SLOPE/W to analyze the effect of these excess pressures on stability during construction, allowing you to determine the need for staged loading.
ENGINEERING METHODOLOGY BOOK
The included SIGMA/W engineering methodology book discusses the whys and hows of modeling, as well as the theory and formulations behind the SIGMA/W product. Stress-Deformation Modeling with SIGMA/W is a full-length book about proper modeling techniques: how to think before, during and after setting up and solving a model. The book includes chapters devoted to:

  • Numerical Modeling: What, Why and How
  • Fundamentals and Practical Modeling Considerations
  • Geometry and Meshing
  • Material Models and Properties
  • Bounday Conditions
  • Analysis Types
  • Coupled Stress-Pore Pressure Analysis
  • Functions in GeoStudio
  • Structural Elements
  • Staged Construction Sequencing
  • Numerical Issues
  • Visualization of Results
  • Illustrative Examples
  • Theory

MINIMUM SYSTEM REQUIREMENTS

  • Microsoft® Windows® 10, Windows® 8.1, Windows® 8, Windows® 7 SP1
  • Intel® Pentium® 4 or better, or AMD Opteron™ or Athlon™ 64 or better. (GeoStudio is optimized for multi-core Intel processors)
  • 1 GB hard disk space
  • 1024×768 screen resolution.
    For 3D features, your graphics card must support Direct3D® Feature Level 10_1 or greater.
    This includes graphics cards such as (and newer than):

    • Nvidia® GT 300
    • ATI® Radeon® HD 4000 Series
    • Intel® HD Graphics 3000/2000
  • Microsoft® .NET 4.0 will be installed automatically if it is missing.

SUPPORTED VIRTUAL MACHINES

  • The latest release of GeoStudio can be run on these VM platforms:
    • VMware® ESXi™ 5.5 and 6.0
    • VMware® Workstation™ 11 and 12
    • Microsoft® Hyper-V® on Windows Server® 2016, 2012 R2, 2012, and Windows® 10
    • Citrix® XenServer® 6.2, 6.5 and 7.0