06.3.1 / CDS Training Manual

Predict T700/PR520
effective lamina properties.

A bottom-up micromechanics study using constituent values and three fiber-volume regions published for a NASA triaxial-braid model.

06.1 Manuals · read online, preview or download →

Current Workbench, reference editions and downloads

Use the online User Guide for current controls, the released model directory for selectable models and compatibility, and the Training Manual for connected exercises. Wider theory references do not mean every formulation is enabled in Workbench.

Screenshots and download editions carry revision dates; consult the current chapter for updated Workbench instructions. Find the overview PDF, guides and exercise databases in Your CDS library.

Exercise workflow · Open full-size map ↗

All blocks keep the CREATE / DISCOVER / SIMULATE positions, with Equipment below Geometry; unused records remain disconnected. This changes the view only, not the exercise records.

Predict T700/PR520 effective lamina properties. · Fixed layout with all supplied blocks · not solved results
∑ Used models & submodels

Only models assigned to records used by this exercise are listed here. The full-layout option preserves the supplied starter records; no Workbench records are changed.

Halpin–Tsai · T700 / EP180 UD · Unidirectional lamina

One compatible homogenization model per Micro recipe. Separate recipes compare models; their predictions are not blended.

∑ Theory & assumptions
Data travelling between blocks

Materials → Micro
Constituent stiffness, strength, density and thermal / moisture properties.

Models → Micro
Applied model assignment: Halpin–Tsai. Model parameters and formulation are used by Micro.

Reference validation · 2026-09-20

Not benchmark validated

No matched quantitative reference comparison completed for the full exercise.

Recorded baseline only—not a certification of the current database, edited inputs, or every output. Analytical agreement is not experimental material or failure validation.

Source validation, comparisons and tested inputs

Execution: Completed (not validation)

The copied T700/EP180 database is a connected starter, not T700/PR520. Complete the constituent setup below before comparing with NASA.

Tested inputs

Input SHA-256: 98f09a9b013eb9fdb5252ce3245d15829776d94ac0390f4c85b46c581c424865
Solver source SHA-256: 21b57ba5585334998ad98a0b2bac916764c93739a20e81f92e8e37cd50006f4a

  • Constituent-to-lamina screening only. The NASA braid subcells, calibrated LS-DYNA damage and coupon validation are not reproduced.
Separate published-data fixture: Benchmark discrepancy

Source-matched constituent fixture compared with NASA MAC/GMC, 1% exploratory equivalence criterion declared before running. A different homogenization model need not match; mismatch is retained, not fitted away.

Acceptance: absolute error ≤ absolute tolerance + relative tolerance × |reference|.
QuantityCDSReferenceError %Tolerance (relative + absolute)Result
E1 at Vf=0.375 (GPa)88.7588.50.28248591% + 0.00002 GPaPass
E2 at Vf=0.375 (GPa)5.517246.22-11.298391% + 0.00002 GPaDiscrepancy
G12 at Vf=0.375 (GPa)2.232562.6-14.132311% + 0.00002 GPaDiscrepancy
E1 at Vf=0.733 (GPa)169.658169.50.093215341% + 0.00002 GPaPass
E2 at Vf=0.733 (GPa)8.649279.9-12.633641% + 0.00002 GPaDiscrepancy
G12 at Vf=0.733 (GPa)4.704457-32.793571% + 0.00002 GPaDiscrepancy
E1 at Vf=0.8 (GPa)184.8184.70.054141851% + 0.00002 GPaPass
E2 at Vf=0.8 (GPa)9.6774210.9-11.216331% + 0.00002 GPaDiscrepancy
G12 at Vf=0.8 (GPa)5.934076-1.0988331% + 0.00002 GPaDiscrepancy
Fixture inputs
{
  "fiber": {
    "E1": 230,
    "E2": 15,
    "G12": 27,
    "nu12": 0.2
  },
  "matrix": {
    "E": 4,
    "G": 1.44,
    "nu": 0.38
  },
  "volumeFractions": [
    0.375,
    0.733,
    0.8
  ],
  "voidFraction": 0,
  "model": "Rule of mixtures"
}
Separate published-data fixture: Benchmark discrepancy

Source-matched constituent fixture compared with NASA MAC/GMC, 1% exploratory equivalence criterion declared before running. A different homogenization model need not match; mismatch is retained, not fitted away.

Acceptance: absolute error ≤ absolute tolerance + relative tolerance × |reference|.
QuantityCDSReferenceError %Tolerance (relative + absolute)Result
E1 at Vf=0.375 (GPa)88.7588.50.28248591% + 0.00002 GPaPass
E2 at Vf=0.375 (GPa)6.622526.226.4713831% + 0.00002 GPaDiscrepancy
G12 at Vf=0.375 (GPa)2.904062.611.694621% + 0.00002 GPaDiscrepancy
E1 at Vf=0.733 (GPa)169.658169.50.093215341% + 0.00002 GPaPass
E2 at Vf=0.733 (GPa)10.477619.95.8344441% + 0.00002 GPaDiscrepancy
G12 at Vf=0.733 (GPa)7.0001170.0015714291% + 0.00002 GPaPass
E1 at Vf=0.8 (GPa)184.8184.70.054141851% + 0.00002 GPaPass
E2 at Vf=0.8 (GPa)11.4366210.94.9231191% + 0.00002 GPaDiscrepancy
G12 at Vf=0.8 (GPa)8.80865646.810831% + 0.00002 GPaDiscrepancy
Fixture inputs
{
  "fiber": {
    "E1": 230,
    "E2": 15,
    "G12": 27,
    "nu12": 0.2
  },
  "matrix": {
    "E": 4,
    "G": 1.44,
    "nu": 0.38
  },
  "volumeFractions": [
    0.375,
    0.733,
    0.8
  ],
  "voidFraction": 0,
  "model": "Halpin–Tsai model"
}

Download source-validation results (JSON) · Full 138-exercise study

Objective

Predict how T700/PR520 effective ply stiffness changes across the three local fiber-volume regions used in NASA’s absorbed-matrix braid model.

CDS scope

CDS reproduces a constituent-to-lamina comparison. It does not reproduce the report’s complete braid subcell, LS-DYNA damage calibration, or coupon validation.

Published basis

1 primary source
NASA/TM—2015-218814Experimental and Numerical Analysis of Triaxially Braided Composites Utilizing a Modified Subcell Modeling Approach

Tables 3 and 4 provide T700 and PR520 constituent properties and MAC/GMC effective-ply values for Vf = 37.5%, 73.3% and 80%.

Starting data

Enter in the displayed units
VariableValueHow it is used
T700 density1.80 g/cm³Fiber physical property
T700 E1 / E2230 / 15 GPaFiber axial and transverse modulus
T700 ν12 / G120.20 / 27 GPaFiber coupling and shear
PR520 density1.25 g/cm³Matrix physical property
PR520 E / ν / G4.0 GPa / 0.38 / 1.44 GPaIsotropic matrix elasticity
Fiber volume fractions37.5%, 73.3%, 80.0%Three separate micromechanics evaluations

Review checkpoints

Comparison, not certification
ResultPublished referenceInterpretation
Vf 37.5%: E1 / E2 / G1288.5 / 6.22 / 2.60 GPaB-braider effective ply
Vf 73.3%: E1 / E2 / G12169.5 / 9.90 / 7.00 GPaA/C-braider effective ply
Vf 80.0%: E1 / E2 / G12184.7 / 10.9 / 6.00 GPaA-axial effective ply

138 exercises, examples and case studies → · Your CDS library: overview, manuals and database downloads →

01

Create traceable constituent records

Duplicate the nearest carbon-fiber and thermoset records so the library baselines remain unchanged.

Step-by-step instructions · 3 steps
  1. Name the records T700 — NASA case study and PR520 — NASA case study.
  2. Enter the density and elastic values from the starting-data table. For the isotropic matrix, use E = 4.0 GPa, ν = 0.38 and G = 1.44 GPa.
  3. Add the NASA report as the source, mark the values as published research inputs, and leave unsupported strength or transport terms visibly incomplete.
03

Sweep the three published fiber fractions

Use Lamina / Micro optimization or three duplicated model records to evaluate Vf = 37.5%, 73.3% and 80.0%.

Step-by-step instructions · 3 steps
  1. Hold all other inputs fixed and evaluate each volume fraction.
  2. Plot Vf against E1, E2 and G12; use a line view for the trend and the table for exact values.
  3. Save one optimization snapshot or export one comparison table containing all three cases.
04

Compare the effective lamina response

Compare CDS output with NASA’s MAC/GMC values in the checkpoint table. Expect the longitudinal trend to be strongest and model-dependent differences in transverse and shear response.

Step-by-step instructions · 3 steps
  1. Calculate percent difference as 100 × (CDS − reference) / reference for each modulus.
  2. Inspect the selected model’s assumptions before attributing differences to input data.
  3. Repeat with another supported homogenization model to show model-form sensitivity.
05

Save the predicted lamina for downstream work

Create a new lamina material from the selected prediction and retain the model and source links.

Step-by-step instructions · 3 steps
  1. Choose the fiber fraction appropriate to the intended region rather than averaging the three NASA subcells without justification.
  2. Save the generated material with Prediction status.
  3. Open the new record and verify that its provenance identifies both constituents and the micromechanics model.