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Solver Type

There are two Solver types available in RSSeismic:

  • Lumped Mass
  • Finite elements

Depending on the solution type selected, different project options are available.

Solver typeAnalysis MethodSolution TypeSoil ModelHysteretic Re/Un-loading FormulationPore Pressure Options
Lumped MassLinearFrequency and Time domain

-

-

-

Equivalent LinearFrequency domain
  • General Quadratic/Hyperbolic Model (GQ/H)
  • Pressure-Dependent Modified Kondner Zelasko (MKZ)
  • Yee et al. (2013)
  • Linear
  • Discrete Points (Equivalent Linear)
  • Non-Masing
  • Masing

-

NonlinearTime domain
  • Generate Excess Porewater Pressure
  • Enable Dissipation
  • Make top of Profile Permeable
  • Make Bottom of Profile Perm
Finite elementsLinearTime domain
  • Linear elastic

-

-

NonlinearTime domain
  • I-soil (Numanoglu et al., 2023)
  • Masing
  • Non-Masing
  • Generate Excess Porewater Pressure
  • Enable Dissipation
  • Make top of Profile Permeable
  • Make Bottom of Profile Perm

Lumped Mass Method

The lumped mass method implemented in RSSeismic discretizes the soil column into a series of horizontal layers, each represented by a concentrated mass located at the layer boundaries. Adjacent masses are connected by nonlinear springs and dashpots that represent the shear stiffness and damping of the intervening soil layer. The equations of motion are solved in the time domain using an explicit integration scheme, allowing the stiffness and damping of each layer to evolve according to the selected constitutive model.

Finite Elements Method

The finite element method implemented in RSSeismic discretizes the soil column into a stack of eight-node hexahedral elements with tied-node constraints at each depth level to enforce one-dimensional site-response behavior within a three-dimensional formulation. A diagonal lumped mass matrix is used, and the equations of motion are solved in the time domain using the explicit central-difference method. The engine supports both rigid-base and elastic base boundary conditions. Undrained and partially drained conditions are handled through effective stress pore pressure coupling , specifically the Biot u-p formulation, that solves for excess pore-pressure generation and vertical dissipation alongside the mechanical response.

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