• GFAS
• Contents
• Introduction
  • Overview
  • Analysis capabilities
• Mesh generation
  • Introduction
  • Structured mesh generation
    • The Quadrilateral Region
    • Mapping technique
    • Automatic meshing
    • Quadrilateral division
    • Delaunay triangulation
    • Region connectivity
  • Unstructured mesh generation
  • Mesh editing
    • Mesh refinement
      • Local mesh refinement
      • Global mesh refinement
    • Deleting meshes
    • Nodes renumbering
    • Transforming meshes (p-refinement)
• Formulation of the element matrices and vectors for elasticity problem
  • Equilibrium equations
  • Boundary conditions
  • Strain-Displacement Relations
  • A General Formula for the Stiffness Matrix
    • Plane strain
    • Plane stress
    • Axisymmetric case
  • Finite element types
    • Constant strain triangle (T3)
    • Linear Strain Triangle (T6)
    • Linear Quadrilateral Element (Q4)
    • Quadratic Quadrilateral Element (Q8)
  • Numerical integration in finite elements
  • Stress calculation
  • Consistent element nodal loads
    • Body forces
    • Distributed forces
    • Initial stress/strain loads
    • Pore pressure loads
    • Excavation loads
    • Gravity loading
  • Assembly and storage strategy
  • Incorporation of boundary conditions
    • Explicit specification of BC's
    • Imposing prescribed displacements (Penalty method)
    • Elastic supports
  • Solution of equilibrium equations
• Formulation of the beam-column elements
  • Bar or truss elements
  • Two-noded beam-column element
  • Joining beam-column elements to plane elements. Dissimilar elements.
    • Beam-column element connected to a plane element
    • Truss element connected to a plane element
    • Bolts elements
      • End anchored bolts
      • Fully bonded bolts
      • Liner elements
      • Geogrid elements
• Nonlinear analysis formulation
  • Inelastic stress-strain behavior
    • Yield criterion
    • Flow rule
    • Hardening rule
  • Incremental stress-strain relations
  • Failure criteria
    • The Von-Misses criterion
    • Mohr-Coulomb and Tresca criterions
  • Elastic-plastic procedures
    • Constant-stiffness method
      • Generation of self-equilibrating body loads
      • Initial strain method
      • Initial stress method
      • Solution procedure
    • Tangent (variable)-stiffness method
      • Integration of the constitutive relations. Consistent tangent matrix
      • Solution procedure
• Steady state analysis
• Initial conditions
  • Initial groundwater conditions
  • Initial geostatic stresses
• Dynamic and seismic analysis
• Staged constructions
• Analysis types
  • Slope stability analysis
    • Factor of Safety (FOS) and Strength reduction factor (SRF)
    • Material properties
    • Slope collapse
    • Computational example
  • Bearing capacity analysis
  • Staged construction analysis
• Tutorial & DXF
• Bibliography
• Recommended books
• Geoapp
  • Geoapp Section
• Contact