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Lesson 9 of 10 15 min

Material Selection Methods

Knowing material properties is necessary but not sufficient. The real engineering challenge is selecting the right material for a specific application — balancing performance, manufacturability, cost, weight, and environmental requirements. This lesson covers the systematic approaches used in industry.

The Material Selection Process

Material selection follows a funnel: start with all possible materials (~160,000 engineering materials) and narrow down through screening, ranking, and detailed evaluation.

  • Translation — Define the function, constraints, objectives, and free variables
  • Screening — Eliminate materials that can't meet non-negotiable constraints (Tmax, corrosion environment, conductivity requirement)
  • Ranking — Use material indices and Ashby charts to rank survivors by performance-per-cost or performance-per-weight
  • Supporting information — Manufacturability, availability, recycling, company experience, supply chain

Ashby Material Property Charts

Developed by Professor Michael Ashby at Cambridge, these charts plot one material property against another on logarithmic axes. Each material class occupies a characteristic region (a "bubble"), making it easy to see trade-offs and identify candidates.

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Key Ashby Charts

Young's Modulus vs. Density (E–ρ)

This chart reveals specific stiffness. Lines of constant E/ρ (specific modulus) are diagonal — materials above and to the left are stiffer per unit weight.

  • Steels, Ti, Al all have roughly the same E/ρ (~25 MN·m/kg)
  • CFRP is 2–4× better in specific stiffness
  • Wood and foams appear in the low-density, moderate-stiffness region
Ashby Chart — Young's Modulus vs. Density on log-log axes. Material families shown as bubbles. Hover for details.
Strength vs. Density (σy–ρ)

Reveals specific strength. CFRP and high-strength titanium dominate the upper-left corner.

  • Mild steel: high density, moderate strength
  • Al 7075-T6: moderate density, high strength
  • Ti-6Al-4V: moderate density, very high strength
  • CFRP: low density, very high strength
Fracture Toughness vs. Strength (KIC–σy)

Reveals the strength-toughness trade-off. Most materials follow a falling trend: higher strength means lower toughness. Materials in the upper-right corner (high strength AND high toughness) are premium — steels like 300M, titanium alloys.

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Strength vs. Temperature (σy–T)

Shows which materials maintain strength at temperature. Polymers drop off above 200°C. Aluminum drops above 200°C. Titanium is useful to ~540°C. Nickel superalloys carry load to ~700°C (with cooling, higher).

Material Indices

A material index is a combination of properties that maximizes performance for a specific structural function. Derived from the objective function and constraints.

Common Material Indices

FunctionObjectiveConstraintMaterial Index (maximize)
Tie rod (tension)Minimize massFixed load capacityσy/ρ
Beam (bending)Minimize massFixed stiffnessE^(1/2)/ρ
Beam (bending)Minimize massFixed strengthσy^(2/3)/ρ
Panel (bending)Minimize massFixed stiffnessE^(1/3)/ρ
SpringMaximize stored energyNo yieldingσy²/E
Thermal insulationMinimize heat lossFixed thickness1/λ (thermal conductivity)

How to Use Material Indices

Example: Lightest stiff beam

Objective: minimize mass for a beam of given length carrying a bending load with a maximum deflection constraint.

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The derivation (from beam bending theory) gives: Material Index = E^(1/2)/ρ

MaterialE (GPa)ρ (g/cm³)E^(1/2)/ρRank
Steel2007.851.805
Aluminum702.703.103
Titanium1104.432.374
CFRP (QI)701.555.402
CFRP (0° dominant)1401.557.631
Wood (spruce)120.457.701
Wood ranks surprisingly well for stiffness-per-weight in bending — which is why it was the original aircraft material and remains competitive for light aircraft.

Guidelines for Material Index Lines on Ashby Charts

On a log-log plot of E vs. ρ, lines of constant E^(1/2)/ρ are straight lines with slope 2. Moving the line to the upper-left captures better materials. The best candidates are those closest to the upper-left corner, above the line.

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Weighted Decision Matrix (Pugh Matrix)

After screening and ranking narrow the field to 3–5 candidates, a weighted decision matrix makes the final selection by incorporating factors that Ashby charts don't capture: cost, manufacturability, availability, environmental impact, and company experience.

How to Build One

  • List criteria — All factors that matter for the decision
  • Assign weights — Each criterion gets a weight (0–10 or percentage) reflecting its importance. Weights must be agreed upon by the design team BEFORE scoring.
  • Score each material — Rate each candidate on each criterion (1–5 or 1–10)
  • Calculate weighted scores — Multiply score × weight for each cell, sum across all criteria
  • Compare totals — Highest weighted total is the recommended material

Example: Automotive Hood Panel Material Selection

Criteria and weights:
CriterionWeight
Specific strength8
Formability7
Material cost ($/kg)9
Part cost (including tooling)8
Corrosion resistance5
Joinability (to steel body)6
Recyclability4
Dent resistance6
Scoring (1–5):
CriterionWtMild SteelAHSS (BH210)Al 6016-T4CFRP
Specific strength82345
Formability75432
Material cost95431
Part cost85432
Corrosion52245
Joinability65532
Recyclability45552
Dent resistance63434
Weighted Total213205178158

In this scenario, mild steel wins on cost-driven criteria despite being heaviest. For a luxury or performance vehicle where weight matters more, the weights shift and aluminum or CFRP can win.

The weights reflect the design intent, not absolute truth. A cost-focused program (economy car) weights cost heavily; a performance program (sports car) weights specific strength heavily.

Case Studies

Case 1: Automotive B-Pillar

Function: Protect occupants in side impact (absorb energy, maintain survival space) Constraints:
  • Must resist intrusion under FMVSS 214 / Euro NCAP pole impact
  • Must connect to roof rail and rocker panel
  • Production volume: 200,000+ units/year
Screening: Need σu > 1,000 MPa, good energy absorption, weldable to steel body, high-volume compatible. Candidates: AHSS DP980, PHS 22MnB5, CFRP Selection: PHS 22MnB5 (hot-stamped boron steel) — 1,500 MPa UTS, formable when hot, spot-weldable, cost-effective at volume. CFRP would be lighter but 5–10× more expensive at this volume. DP980 doesn't quite reach the strength needed for the thinnest gauge. Result: Nearly every modern car uses PHS 22MnB5 for the B-pillar. Some have tailored properties (soft zones at top for folding, hard zones at center for intrusion resistance) achieved by differential heating/cooling in the hot-stamping die.

Case 2: Jet Engine Fan Blade

Function: First rotating stage — ingests air, accelerates it into the compressor. Must survive bird strike (4 lb bird at takeoff speed). Constraints:
  • Maximum tip speed ~450 m/s (centrifugal loads proportional to density)
  • Bird impact tolerance (FAA certification requires continued operation after ingesting a 4 lb bird)
  • Fatigue life: 20,000+ flight cycles
  • FOD (foreign object damage) tolerance
  • Operating temperature: ambient to ~150°C
Screening: Need high specific strength, excellent fatigue, damage tolerance, FOD resistance. Candidates: Ti-6Al-4V (forged, hollow), CFRP (woven, with titanium leading edge)
PropertyTi-6Al-4VCFRP + Ti LE
Weight per blade~25 kg~15 kg
Bird strike toleranceExcellentGood (with Ti LE)
FOD toleranceExcellentModerate
FatigueExcellentExcellent
Manufacturing costHighVery high
Weight savings (full set)Baseline~40%
Selection: The trend is moving from titanium (GE90, CFM56) to CFRP with titanium leading edge (GE9X, LEAP). The 40% blade weight reduction cascades — lighter blades mean a lighter disc, lighter containment case, lighter bearings. Total engine weight savings from composite fan blades can be 200–300 kg.

Case 3: Bicycle Frame

Function: Primary structure carrying rider loads through pedaling, road vibrations, and impacts. Constraints:
  • Rider weight up to ~120 kg
  • Fatigue life: 10+ years of varied loading
  • Stiffness for efficient power transfer
  • Comfort (vibration damping)
  • Production volume varies: 100 (high-end) to 100,000+ (mass market)
Candidates: 4130 steel, Al 6061-T6, Ti-3Al-2.5V, CFRP
Property4130 SteelAl 6061-T6Ti-3Al-2.5VCFRP
Frame weight~2.0 kg~1.4 kg~1.5 kg~0.9 kg
Ride qualityExcellentHarshExcellentTunable
FatigueInfinite life (below Se)No endurance limit — must overdesignInfinite lifeExcellent if designed properly
RepairabilityWeldableWeldable (but weakens HAZ)Weldable (specialized)Difficult
Cost (frame)~200 USD~300 USD~1,500 USD~500–5,000 USD
Selection: Depends on market segment. Mass market → Al 6061-T6 (light, cheap). Enthusiast → CFRP (lightest, tunable ride, premium feel). Touring/lifetime → Steel or titanium (fatigue immunity, repairability, ride comfort).

Common Material Selection Mistakes

  • Optimizing one property in isolation — Selecting the strongest material without considering formability, joinability, or cost. Strength is necessary but not sufficient.
  • Ignoring manufacturing constraints — A material that's perfect in a datasheet but can't be formed, welded, or machined to required tolerances is useless.
  • Not accounting for the full system — Replacing a steel bracket with aluminum saves weight on that part but may require thicker sections (lower modulus), new fasteners (galvanic corrosion), and new joining processes.
  • Applying room-temperature data to elevated-temperature applications — Aluminum loses 50% of its strength by 200°C. Polymers lose stiffness above Tg. Always check properties at the actual service temperature.
  • Ignoring fatigue for cyclic applications — Static yield strength is irrelevant if the part fails by fatigue at 50% of yield after 10⁶ cycles.

Key Takeaways

  • Ashby charts are the screening tool — plot property combinations on log-log axes to identify candidate material classes
  • Material indices (σy/ρ, E^(1/2)/ρ, etc.) quantify which material gives the best performance for a specific structural function
  • Weighted decision matrices incorporate cost, manufacturability, and other non-technical factors for final selection
  • The "best" material depends entirely on the weighting of criteria — there is no universally optimal material
  • Always consider the full system: joining, corrosion compatibility, manufacturing process, supply chain, and end-of-life
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