02.8 / Embedded models & coupling

Explore the models.
Follow their connections.

The growing CDS model library, organized by physics and application. See what each formulation uses, what it calculates, and how its results connect to the next study.

FROM MATERIAL TO RESPONSE

See the models at work

Explore an architecture, build a laminate, and follow its response through a process.

Actual short-fiber GUI with orientation inputs and a spatially distributed fiber previewEnlarge ↗
01

Random short-fiber orientation

Cox shear-lag teaching setup with Fa = 0.15 and Fp = 0.35. The 3D illustration uses normalized fiber lengths; it is not a resolved RVE or a physical-scale micrograph.

Light-mode laminate ply editor, angle-colored live stack and ABD propertiesEnlarge ↗
02

Connected laminate workspace

A 16-ply laminate using a linked Micro recipe. The live stack is colored by ply angle, alongside the shared CLT properties.

Light-mode thick-laminate temperature field, heating history and through-thickness sectionEnlarge ↗
03

Thick-section thermal lag

A 64-mm, 16-layer teaching variation of the local T700 demo, with a heating-ramp cursor and through-thickness section. Conduction demonstration only: the GUI reports missing reaction-heating data. Not a NASA benchmark or a qualified cure cycle.

Actual Workbench interface captures · September 2026. Teaching setups illustrate the interface; they are not new validation runs. Controls may differ in later releases.

One material foundation. Several analysis paths.

Select a stage to jump to its model list. Connections require compatible models and the stated inputs.

CDS model connectionsMaterials feed micromechanics and laminate properties. Laminate properties feed process and structural studies. Compatible thermal and moisture histories can feed mechanics when enabled. Mechanical response supports failure and separate fatigue assessments. RF and tool release have separate prescribed or manual inputs.Enabled history mappingIntact stressesMaterialsConstituents & calibrationMicromechanicsArchitecture → ply propertiesLaminateLayup, stiffness & transportThermal · Cure · MoistureBoundary cycles & material lawsTemperature, state & moisture historiesStructural mechanicsLaminate + geometry + loadsDisplacement, stress & stabilityFailure & damageCriteria & supported progressive pathsFatigue & residual propertiesSeparate calibrated assessmentsSeparate study pathsDielectric mixture → RF layers · manual handoffPrescribed temperature / shrinkage → tool release

Structural and failure paths are formulation-specific. Fatigue does not automatically degrade the saved laminate; RF absorption does not automatically supply thermal heating. The coupling guide below gives the scope of each path.

42 model families · 78 listed model choices

These are the current released Workbench choices. Available selections depend on your package and license. Each formulation has its own assumptions and required calibration; related models do not necessarily run together in one solve.

How the models connect

Linked properties, coupled histories and separate assessments serve different purposes. These connections describe supported paths, not a universal multiphysics solver.

Linked properties

Constituents → Micro → Laminate

Constituent properties, reinforcement architecture and fractions produce reference ply properties used by linked laminate plies.

Supported coupled run

Thermal / cure → Mechanical

Compatible selected cases can map temperature and supported polymer-state histories into the mechanical calculation. Enable the required coupling and supply calibrated properties.

Supported coupled run

Moisture → Mechanical

A compatible moisture case supplies moisture history and an enabled swelling contribution. Boundary schedules and material diffusion data remain explicit inputs.

Specific layerwise path

Ply damage ↔ Delamination

The supported layerwise plate path couples ply damage and interface delamination. This does not apply to every plate, shell or joint formulation.

Separate assessment

Intact ply stresses → Fatigue

Calibrated S–N models assess life from intact stresses. Residual-property studies use separate fitted laws and do not automatically degrade the saved laminate.

Prescribed inputs

Cure shrinkage / temperature → Tool release

Free-release curvature and corner spring-in use prescribed thermal and post-gel shrinkage inputs; they do not automatically import the process history.

Manual handoff

Dielectric mixture → RF layers

Effective electrical properties can be entered into RF layer studies. RF absorption is not automatically coupled into thermal heating or mechanical response.

1 model families

Materials & micromechanics

Design a ply or reinforced feedstock

Micromechanics

  • Halpin–Tsai
  • Rule of mixtures
  • Modified rule of mixtures
  • Chamis
  • Mori–Tanaka
  • Hashin–Rosen
  • Self-consistent scheme
  • Woven fabric bridging
  • Cox shear-lag elastic
Inputs
Constituents, architecture, fractions and calibrated modifiers
Results & connections
Reference ply properties for each linked laminate ply
Scope
One compatible homogenization model per Micro recipe. Use separate recipes for comparisons; they are not combined in a single ply.
4 model families

Heat, moisture & manufacturing

Cure, pultrusion, conditioning and tool release

Cure, crystallization & material transport

  • Kamal–Sourour autocatalytic
  • Kamal–Sourour with diffusion control
  • Nth-order Arrhenius
  • CHILE (degree of cure)
  • UV intensity-dependent cure
  • Nakamura–Avrami
  • Temperature-dependent tabular
  • 1D Fickian diffusion
Inputs
Calibrated kinetics, modulus or transport laws and material assignment
Results & connections
Material laws consumed by compatible Micro or transport calculations
Scope
Independent model records can be linked together through material inputs. A saved model must be assigned to a material before it contributes to a simulation.

Thermal transport

  • 1D transient heat transfer
  • 1D steady-state heat transfer
  • 1D pultrusion thermal cure
Inputs
Laminate transport properties, initial state and the thermal case’s own surface cycle
Results & connections
Temperature and supported polymer-state histories; mapped fields only when coupling is enabled
Scope
One transport formulation per thermal case. Select its laminate and configure its own initial conditions and surface cycle; pultrusion additionally requires a distance-based die schedule and pulling velocity.

Moisture transport

  • 1D transient moisture diffusion
  • 1D steady-state moisture diffusion
Inputs
Laminate diffusion properties, initial moisture and its own boundary schedule
Results & connections
Moisture history and enabled swelling contribution
Scope
One formulation per moisture analysis. Thermal and moisture analyses can both be linked in Simulation; each needs its own boundary conditions.

Tool-release shape

  • Free-release eigenstrain & spring-in
Inputs
Laminate and prescribed temperatures, CTE and effective post-gel shrinkage
Results & connections
Free-release CLT curvature and separate corner spring-in estimate; not an automatic process-history handoff
Scope
Free CLT release from prescribed ply-local shrinkage/thermal eigenstrains. Corner spring-in is a separate uniform-strain estimate. Stress-free temperature and effective post-gel shrinkage need calibration. No tool friction, cure kinetics or viscoelastic restraint history.
7 model families

Structural mechanics

Size plates, beams, shells, sandwich panels and joints

Plate · CLT & FSDT

  • CLT
  • FSDT
  • Static bending
  • Modal
  • Buckling
  • Buckling and modal
Inputs
Laminate stiffness, finite plate dimensions, supported edges and study choice
Results & connections
FSDT static bending or selected buckling / modal results; not progressive damage
Scope
Choose a formulation and study. Buckling and modal can be requested together; static bending requires FSDT. These are reference-elastic studies, separate from coupled process or progressive failure.

Cylinder

  • Linear thin-wall membrane
  • Layerwise thick-wall elasticity
Inputs
Laminate, cylinder dimensions and formulation-compatible pressure / axial loading
Results & connections
Thin-wall membrane response or layerwise radial fields, with distinct assumptions
Scope
Choose one cylinder formulation per case record. Geometry and plies remain shared; thick-wall radial results exclude torsion and process strains.

Membrane, bending & beam buckling

  • Linear static
  • Linear static with failure indices
  • Beam Euler buckling
Inputs
Laminate, compatible section and static or Euler load case
Results & connections
Membrane / bending response or separate Euler buckling result
Scope
Geometry and the case determine the membrane or beam-test interpretation. Euler buckling requires a compatible beam section and a separate reference-elastic study; it is not a strength or local-buckling pass.

Layerwise sections, joints & delamination

  • Layerwise x-z plane strain
  • Single-lap x-z plane strain
  • Coupled delamination growth
Inputs
Section or lap geometry, laminate, loads and calibrated interface properties
Results & connections
x–z fields; coupled ply damage and delamination only for the supported layerwise plate path
Scope
Coupled delamination is available only for the layerwise Plate section and needs calibrated interface and ply properties. Lap-shear uses its separate joint geometry and perfectly bonded elastic formulation.

Sandwich bending

  • Sandwich three-point bend
Inputs
Faces, core, dimensions and three-point-bend load
Results & connections
Deflection and separate face, core and nominal bond-shear screening
Scope
Dedicated sandwich screening. Check core, faces and nominal bond shear separately; peel, mixed-mode debonding and crack growth are not assessed.

Analytical bonded joint

  • Volkersen & Goland–Reissner joint
Inputs
Identical equivalent-elastic adherends, adhesive, overlap, width and tensile force
Results & connections
Volkersen shear and Goland–Reissner shear / peel; no debond growth
Scope
Identical equivalent-elastic adherends, long free arms and a thin elastic adhesive. Compare shear-only Volkersen with eccentric single-lap shear and peel. Not a debonding, plasticity or strength calculation.

Cylinder buckling

  • Donnell cylinder · axial buckling
Inputs
Thin specially orthotropic shell, radius, length, axial compression and prescribed knockdown
Results & connections
Ideal / knocked-down Donnell axial buckling and governing mode; no pressure or postbuckling
Scope
Simply supported, thin, specially orthotropic cylinder under uniform axial compression. Discrete Donnell modes; prescribed knockdown factor explores imperfection sensitivity, not a prediction from measured imperfection amplitude. No pressure, torsion, postbuckling or strength pass.
7 model families

Failure, durability & variability

Assess strength, service life and sensitivity

Failure & envelope comparison

  • Maximum stress
  • Maximum strain
  • Tsai–Hill
  • Tsai–Wu
  • Hashin
Inputs
Eligible CLT load case, strengths / strain limits and selected criterion
Results & connections
First-ply envelopes or supported progressive ply-damage histories; criteria are not blended
Scope
One primary failure criterion per load. In Response → Failure, compare all eligible theories or a custom selection in the envelope controls. Each theory runs independently; criteria are not blended.

Fatigue S–N

  • Kim–Zhang
  • Sendeckyj
  • Weibull S–N
  • Kohout–Vechet
  • Basquin
Inputs
Intact ply stresses, cyclic loads and measured S–N calibration
Results & connections
Separate life assessment; no automatic laminate degradation
Scope
Select calibrated S–N curves for each material, direction and stress sign in Fatigue. Different sources can use different models. S–N life does not define residual stiffness or strength.

Open-hole strength

  • Whitney–Nuismer open-hole tension
Inputs
Specially orthotropic laminate, hole radius, unnotched strength and calibrated distances
Results & connections
Point / average stress strength screening and radial stress profile
Scope
Infinite-width, specially orthotropic tension screening. Point and average stress distances must be calibrated independently for this laminate. Not compression, bearing or a joint allowable.

Creep & stress relaxation

  • Generalized Maxwell · axial Prony
Inputs
Laminate Ex, Prony fractions / times and held stress or strain at calibration temperature
Results & connections
Separate axial creep and relaxation curves with time-refinement safeguards
Scope
Linear uniaxial response at the calibration temperature. Reference Ex is the instantaneous modulus. Three Maxwell branches; creep is solved from stress equilibrium, not the reciprocal relaxation modulus. No thermal shifting or nonlinear creep.

LaRC04 failure initiation

  • LaRC04 · linear shear
Inputs
Laminate, membrane / bending resultants and calibrated effective ply strengths
Results & connections
Linear-shear LaRC04 initiation indices at ply faces; no progressive degradation
Scope
NASA LaRC04 linear-shear specialization, evaluated at both faces of every ply under membrane and bending loads. Supplied ply strengths are effective/in-situ values; no automatic thin-ply enhancement. Initiation only, not degradation or nonlinear-shear instability.

Fatigue residual properties

  • Calibrated residual-property fatigue
Inputs
Modulus, independently fitted stiffness / strength retention laws, life and elapsed cycles
Results & connections
Residual-property curves for the specified constant-amplitude calibration; saved laminate is unchanged
Scope
Prescribed power-law retention fitted to constant-amplitude tests at a fixed stress ratio, amplitude and temperature. Stiffness and strength have independent coefficients. S–N life alone cannot calibrate either. Does not modify the saved laminate.

Uncertainty & sensitivity

  • Seeded laminate uncertainty
Inputs
Laminate, bounded modulus / thickness / angle variations, seed and axial load
Results & connections
ABD axial-strain percentiles and signed correlations; not certified reliability
Scope
Seeded independent uniform sampling of shared modulus, ply-thickness and angle offsets. Recomputes laminate ABD for each sample. Bounds are assumptions, not measured distributions. Percentiles and sensitivity are exploratory, not reliability certification.
10 model families

Virtual test lab

Explore specimen behavior and calibration

D6641 · Compression coupon

  • Virtual test · compression coupon
Inputs
Linked laminate and explicit specimen, load or measured calibration inputs
Results & connections
Uniform small-strain compression using linked laminate Ex and thickness. Measured compressive strength supplies a screening ratio; fixture, tabs, buckling and failure evolution are not simulated.
Scope
Uniform small-strain compression using linked laminate Ex and thickness. Measured compressive strength supplies a screening ratio; fixture, tabs, buckling and failure evolution are not simulated.

D5379 / D7078 · Shear coupon

  • Virtual test · nominal shear coupon
Inputs
Linked laminate and explicit specimen, load or measured calibration inputs
Results & connections
Uniform nominal shear between notches using linked laminate Gxy and thickness. Not a notch/fixture stress field or nonlinear shear solution. Gauge length is the effective shear deformation length, not crosshead travel.
Scope
Uniform nominal shear between notches using linked laminate Gxy and thickness. Not a notch/fixture stress field or nonlinear shear solution. Gauge length is the effective shear deformation length, not crosshead travel.

D5528 · DCB opening

  • Virtual test · DCB beam compliance
Inputs
Linked laminate and explicit specimen, load or measured calibration inputs
Results & connections
Ideal Euler–Bernoulli DCB with equal homogeneous 0° arms, each half the linked laminate thickness. No root rotation, shear, large displacement or cohesive growth. Critical load is an initiation estimate from supplied GIc.
Scope
Ideal Euler–Bernoulli DCB with equal homogeneous 0° arms, each half the linked laminate thickness. No root rotation, shear, large displacement or cohesive growth. Critical load is an initiation estimate from supplied GIc.

D7905 · ENF sliding

  • Virtual test · ENF beam compliance
Inputs
Linked laminate and explicit specimen, load or measured calibration inputs
Results & connections
Ideal equal-arm, homogeneous 0° ENF beam; support span is twice the half-span. Crack must be shorter than the half-span. No shear/root correction or unstable crack growth. GIIc is supplied, not fitted automatically.
Scope
Ideal equal-arm, homogeneous 0° ENF beam; support span is twice the half-span. Crack must be shorter than the half-span. No shear/root correction or unstable crack growth. GIIc is supplied, not fitted automatically.

D6671 · Mixed-mode fracture envelope

  • Virtual test · BK mixed-mode envelope
Inputs
Linked laminate and explicit specimen, load or measured calibration inputs
Results & connections
Benzeggagh–Kenane envelope from calibrated GIc, GIIc and exponent. Supplied GI/GII are energy-release rates from a separate test reduction or analysis. This does not resolve the MMB lever fixture or propagate a crack.
Scope
Benzeggagh–Kenane envelope from calibrated GIc, GIIc and exponent. Supplied GI/GII are energy-release rates from a separate test reduction or analysis. This does not resolve the MMB lever fixture or propagate a crack.

D5229 · Moisture uptake calibration

  • Virtual test · Fickian uptake calibration
Inputs
Linked laminate and explicit specimen, load or measured calibration inputs
Results & connections
Homogeneous slab, initially dry, both faces held at equilibrium moisture. Fits diffusivity from two early uptake measurements (both ≤50% saturation) using the square-root-time approximation. Edge ingress and temperature dependence are excluded. Does not overwrite material properties.
Scope
Homogeneous slab, initially dry, both faces held at equilibrium moisture. Fits diffusivity from two early uptake measurements (both ≤50% saturation) using the square-root-time approximation. Edge ingress and temperature dependence are excluded. Does not overwrite material properties.

D5961 · Bearing / bypass screening

  • Virtual test · bearing bypass screening
Inputs
Linked laminate and explicit specimen, load or measured calibration inputs
Results & connections
Single-pin nominal bearing, net-section and shear-out checks with independent measured allowables. Bypass tension is added to net-section load only. No contact, bolt preload, load redistribution or validated bearing–bypass interaction envelope.
Scope
Single-pin nominal bearing, net-section and shear-out checks with independent measured allowables. Bypass tension is added to net-section load only. No contact, bolt preload, load redistribution or validated bearing–bypass interaction envelope.

D6484 · Open-hole compression

  • Virtual test · measured open-hole compression
Inputs
Linked laminate and explicit specimen, load or measured calibration inputs
Results & connections
Nominal gross/net stress and demand relative to measured open-hole compressive strength for this geometry and layup. This is test-data screening, not an uncalibrated notch-strength prediction. No local buckling or kink-band simulation.
Scope
Nominal gross/net stress and demand relative to measured open-hole compressive strength for this geometry and layup. This is test-data screening, not an uncalibrated notch-strength prediction. No local buckling or kink-band simulation.

D6742 · Filled-hole comparison

  • Virtual test · measured filled-hole comparison
Inputs
Linked laminate and explicit specimen, load or measured calibration inputs
Results & connections
Compares user-measured open- and filled-hole compressive strengths using gross-section stress. Use matched layup, hole, environment and fastener condition. Filling a hole does not automatically recover strength; no fastener contact/preload model is applied.
Scope
Compares user-measured open- and filled-hole compressive strengths using gross-section stress. Use matched layup, hole, environment and fastener condition. Filling a hole does not automatically recover strength; no fastener contact/preload model is applied.

D7136 / D7137 · Impact & CAI assessment

  • Virtual test · measured impact and CAI
Inputs
Linked laminate and explicit specimen, load or measured calibration inputs
Results & connections
Incident energy from measured impact velocity; residual compressive strength from measured peak CAI force. Rebound energy estimates energy not returned to the striker, NOT damage energy. No impact/contact solver, damage-area prediction or energy-to-strength extrapolation.
Scope
Incident energy from measured impact velocity; residual compressive strength from measured peak CAI force. Rebound energy estimates energy not returned to the striker, NOT damage energy. No impact/contact solver, damage-area prediction or energy-to-strength extrapolation.
13 model families

Electromagnetics & RF

Design dielectric mixtures, shielding and periodic layers

Wiener series and parallel

  • EM · Wiener series and parallel
Inputs
Explicit host/inclusion electrical properties and fractions
Results & connections
Effective permittivity; manual handoff to an RF layer, not an automatic mechanical-property update
Scope
Positive lossless dielectric bounds; complex directional estimates.

Looyenga / Landau–Lifshitz–Looyenga

  • EM · Looyenga / Landau–Lifshitz–Looyenga
Inputs
Explicit host/inclusion electrical properties and fractions
Results & connections
Effective permittivity; manual handoff to an RF layer, not an automatic mechanical-property update
Scope
One cube-root mixing law, not two independent models.

Maxwell–Garnett

  • EM · Maxwell–Garnett
Inputs
Explicit host/inclusion electrical properties and fractions
Results & connections
Effective permittivity; manual handoff to an RF layer, not an automatic mechanical-property update
Scope
Dilute subwavelength spherical inclusions in a host.

Normal-incidence laminate TMM

  • EM · Normal-incidence laminate TMM
Inputs
Explicit dielectric A/B layers, thicknesses, repetition, frequency and supported polarization
Results & connections
Reflection, transmission, absorption and shielding spectra; no mechanical coupling
Scope
Coherent isotropic nonmagnetic layers between air half-spaces.

Bruggeman symmetric EMT

  • EM · Bruggeman symmetric EMT
Inputs
Explicit host/inclusion electrical properties and fractions
Results & connections
Effective permittivity; manual handoff to an RF layer, not an automatic mechanical-property update
Scope
Two positive-permittivity phases; no explicit contact network.

EM Mori–Tanaka

  • EM · EM Mori–Tanaka
Inputs
Explicit host/inclusion electrical properties and fractions
Results & connections
Effective permittivity; manual handoff to an RF layer, not an automatic mechanical-property update
Scope
Scalar principal-axis ellipsoidal field approximation.

EM self-consistent

  • EM · EM self-consistent
Inputs
Explicit host/inclusion electrical properties and fractions
Results & connections
Effective permittivity; manual handoff to an RF layer, not an automatic mechanical-property update
Scope
Scalar principal-axis self-consistency; spherical case equals Bruggeman.

Differential effective medium

  • EM · Differential effective medium
Inputs
Explicit host/inclusion electrical properties and fractions
Results & connections
Effective permittivity; manual handoff to an RF layer, not an automatic mechanical-property update
Scope
Incremental mixing with time-step refinement check.

Coated sphere and interphase

  • EM · Coated sphere and interphase
Inputs
Explicit host/inclusion electrical properties and fractions
Results & connections
Effective permittivity; manual handoff to an RF layer, not an automatic mechanical-property update
Scope
Concentric subwavelength coated spheres; no dynamic Mie scattering.

Generalized multiphase EMT

  • EM · Generalized multiphase EMT
Inputs
Explicit host/inclusion electrical properties and fractions
Results & connections
Effective permittivity; manual handoff to an RF layer, not an automatic mechanical-property update
Scope
Spherical multiphase Bruggeman with convergence checks.

Oblique polarized laminate TMM

  • EM · Oblique polarized laminate TMM
Inputs
Explicit dielectric A/B layers, thicknesses, repetition, frequency and supported polarization
Results & connections
Reflection, transmission, absorption and shielding spectra; no mechanical coupling
Scope
TE or TM waves; scalar isotropic layers, no polarization conversion.

1D transmission line matrix

  • EM · 1D transmission line matrix
Inputs
Explicit dielectric A/B layers, thicknesses, repetition, frequency and supported polarization
Results & connections
Reflected and transmitted pulse histories and spectra; mesh and energy checks
Scope
Normal-incidence lossless delay-line mesh with pulse decay, energy and mesh-refinement safeguards. Explicit Run required; not a 3D solver.

1D Floquet–Bloch periodic layers

  • EM · 1D Floquet–Bloch periodic layers
Inputs
Explicit dielectric A/B layers, thicknesses, repetition, frequency and supported polarization
Results & connections
Periodic-cell eigenvalues, folded Bloch phase and stop-band decay
Scope
Lossless isotropic A/B unit-cell eigenvalues, folded Bloch phase and stop-band attenuation at normal incidence. Not arbitrary-cell homogenization.

Choose the models for your work

Explore packages and pricing · View the connected workflow · Workbench model locations and release scope

The wider theory library also covers reference and research formulations. Their presence in the manual does not make them an embedded Workbench capability.