Non-Linear Static & Dynamic Analysis

MATERIAL NONLINEARITY

  • Material models include von Mises, Tresca, Mohr-Coulomg, and Drucker-Prager yield criterion
  • Elastic perfectly plastic, elastoplastic with isotropic, kinematic or mixed work hardening
  • Uniaxial stress-strain curve description includes elastic perfectly plastic, elastic linear hardening, elastic piece-wise linear hardening, and Ramberg-Osgood curve
  • Hyperelasticity and rubber-like material behavior, material models include generalized Mooney-Rivlin, Blatz-Ko, Alexander, etc.
  • Creep laws such as Norton, McVetty, Soderberg, Dorn, ORNL, etc. are supported. These laws can be expressed as general functions of time, stress, and temperature
  • Anisotropic elastoplastic material model with linear of piece-wise linear hardening for composite shell elements
  • Temperature dependent inelastic properties
  • User-defined material model

GEOMETRIC NONLINEARITY

  • Large displacements, large rotations, finite strains
  • Total and updated Lagrangian formulation
  • Large strain deformation
  • Stress stiffening
  • Post buckling analysis

CONTACT CAPABILITIES

  • Simple 2D and 3D node-to-node contact elements with friction
  • General surface-to-surface frictional contact between flexibleflexible and flexible-rigid bodies
  • A priori knowledge of contact region not required
  • Contact surfaces may be of arbitrary curved geometry
  • Formulation accounts for nonlinear kinematics of large deformation analysis and employs consistent tangent stiffness for contact
  • Master-slave implementation with single-pass or symmetric-pass treatment
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  • Automatic substructuring analysis, within a wavefront environment, when the nonlinearity is due to contact conditions only
  • General wavefront solution scheme, with dynamic update of wavefront parameters, for general contact problems involving geometric and/or material nonlinearity
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  • Conservative loading (fixed direction force, moment, and pressure)
  • Non-conservative loading (deformation dependent follower concentrated force and follower pressure)
  • Body forces (weight and inertia)
  • Thermal loading (specified temperature vs. time curve)

SOLUTION PROCEDURE

  • Incremental-iterative solution procedure
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  • Full or modified Newton-Raphson techniques
  • Special formulation for pure incremental analysis with no iterations
  • Equal, user-defined or automatic load steps
  • Line search for faster convergence
  • Convergence checks with displacments, rotation, force, moment, and energy criterion
  • ARC-length method to improve convergence characteristics specially for post-buckling and snap through problems
  • Time integration schemes for dynamics, creep and viscous effects including Newmark, Wilson-Theta Central difference, and Houbolt methods
  • Restarts from the last converged load step

NONLINEAR DYNAMICS

  • Direct integration method
  • Various implicit/explicit time schemes
  • Consistent or lumped mass matrix
  • Geometric and material nonlinear effects
  • Stress stiffening
  • Discrete damper elements and proportional (Raleigh) damping
  • Non-zero initial displacements and velocities, and moving boundary conditions
  • Self adaptive time steps

OUTPUT

  • Output at each load step or at every 'N' load step
  • Stress output in second Picola-Kirchoff or Cauchy stress for geometry nonlinearity
  • Nodal, Gauss point, and centroidal stresses and strains
  • Multiple displacement history and stress contours

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