Chapter 1 Theory and reference

• Theory and reference
• Kinematics of non-linear systems
  • Observation of strains, stresses, application of forces
  • Generalized non-linear springs
  • Generalized non-linear surfaces
  • Non-linear volumes
  • Kinematic reduction, observation and hyperreduction
  • Manual definition of input and output (deprecated)
• Non-linear constitutive laws
  • Laws with no internal states, principles
  • Tabular interpolation
  • Implemented contact and friction laws (SDT contact)
    • General parameters
    • Bilinear contact law, 1 : linear
    • Exponential contact law, 2 : exponential
    • Tabulated contact law, 3 : tabular
    • Exact Coulomb law, 1, 11 : coulomb strict
    • Regularized Coulomb law with linear slope, 2, 12 : coulomb reg
    • Regularized Coulomb law with arctangent, 3, 13 : coulomb arctan
    • Regularized Coulomb law with scaled linear slope, 4, 14 : coulomb scaledreg
  • Contact for large large displacement transients
  • Laws with internal states
  • Hyper-visco-hysteretic 0D model
  • User callback in nl_inout, MexCb field
  • Dedicated user function (deprecated)
  • .anonymous field for definition (deprecated)
  • Maxwell cell model using matrices (deprecated)
• Hyper-visco 3D model
  • Kinematics
  • Invariants, strain rates
  • Stress, equations of motion, time integration at a material point
  • Hyperelastic potential, polyconvexity
  • Compression or volume change behavior
  • Deviatoric laws
  • Mixed U-P elements small deformation
  • Cross check examples
  • Mixed U-P elements large deformation
  • Viscoelastic implementations
• Jacobian computations
• Transient solution of non-linear equations
  • Principles
  • Enforced displacement, resultants
  • Definition of an underlying linear system
• Data structures for non-linearities in time
  • NLdata non-linearity definition (model declaration)
  • Additional fields in model
  • NL structure : non-linearity representation during time integration
• Harmonic balance solutions and solver
  • Time/frequency representation of solutions/loads
  • Harmonic balance equation (real DOF)
  • Complex formulation and equivalent stiffness
  • Inter-harmonic coupling discussion
  • Harmonic load definition
• Data structures for HBM solvers
  • Model, superelement
  • Opt
  • Node
  • K{i},Klab{i},DOF
  • Elt, Node, il, pl
  • TR
  • Non-linearity definition NLdata
  • NL structure non-linearity representation during HBM solve
  • Solver options definition
  • Option structure during HBM solve
  • Harmonic result structure

Chapter 2 Tutorial

• Tutorial
• Installation
• Frequency domain test cases
  • Example lists
  • Spring mass examples
  • Beam problem with local non-linearity
  • Lap joint problem with contact
  • Hyperelastic bushing
• Time domain test cases
  • Single mass test of various non-linearities
  • Single mass stepped sine
  • CBush with orientation
  • Beam with non-linear rotation spring
  • Lap joint with non-linear springs
  • Parametric experiments in time
• Elastic representation as superelements
  • Generic representations in SDT
  • NASTRAN cards used for sensors/non-linearities
  • ABAQUS cards used for sensors/non-linearities
  • ANSYS cards used for sensors/non-linearities
  • NASTRAN Craig-Bampton example
  • Free mode using NASTRAN
  • Storing advanced SDT options in bulk format
  • Abaqus Craig-Bampton example
  • Abaqus McNeal example
  • ANSYS Craig-Bampton example
• Advanced usage
  • DOE & general organization in steps
• External links

Chapter 3 Function reference

• Function reference
• d_hbm
  • TestBeamNL
• d_tdoe
  • MeshCfg URN definition of meshes
  • SimuCfg URN definition of time experiment
• hbmui
  • Hide
  • Init[,Project,Post,...]
  • PARAM[.Tab,UI]
  • Set[Project,Post,...]
  • Project
  • Post
  • PostDlgSensPick
• hbm_post
  • ZTraj[,Get,GetBnl,Set,SetDef]
  • AddPost
  • Init
  • XF.[GetData,X,Y,Xlab]
  • XF.set
  • XF.Stack
• hbm_solve
  • AFMap
  • Assemble[call,init,exit]
  • fe_time[,cleanup]
  • harm[lab,hdof,place,c]
  • Opt
  • Reduce
  • @abscHBM
  • @ATimesZ
  • @buildA
  • @buildCHarm
  • @buildHkt
  • @buildLoad
  • @ctaSubH
  • @defUpCoef
  • InitHBM
  • @iterHBM
  • @getZf
  • @outputInitHBM
  • @outputHBMFcn
  • @resHBM
• hbm_utils
  • Path
  • Help
  • Latex,Hevea
  • Verbose_Mode
  • Distrib
• nl_spring
  • Supported non linearities
  • ConnectionBuild
  • ConnectionCyl
  • InitV
  • NL
  • NLJacobianUpdate
  • SetPro
  • GetPro
  • Follow
  • TimeOpt
  • AssembleCall
  • ResidualCall
  • fe_timeCleanupCall
  • OutputInitCall
  • TimeOutputOptions
  • mkl_utils
  • rheo2NL
  • tab
  • BlockSave,BlockLoad
• mkl_utils
  • Residual
  • chandle
• chandle
  • DiagNewmark
  • ExpNewmark
  • nl_inout
• Non linearities list
  • nl_inout
  • nl_contact
  • nl_modaldmp
• nl_inout
  • DofSet
  • Power
  • FuTable
  • K_t
  • MexIOa
  • SCLd
  • LRFu
  • slab sensor non-linearity
  • temp still undocumented
• Non linearities list (deprecated)
  • nl_maxwell (deprecated)
  • DofKuva
  • DofV
  • nl_spring
  • RotCenter
  • nl_rotCenter
  • rod1
  • nl_gapcyl
• Creating a new non linearity: nl_fun.m
• nl_solve
  • TimeOpt
  • Static
  • Mode
  • Post
  • TgtMdlBuild,Assemble
• nl_mesh
  • Conform
  • Contour
  • Cover
  • Hole[,Groups,Diff,Drill,Gen]
  • Replace
  • Rivet
  • GmshVol
  • ExtrudeLayer
  • StackClean
• spfmex_utils
  • OfactOptim
• nl_bset

• Bibliography
• Index