Extended CycleTemporal BoundaryFatigue Dissipation

Fatigue Energy Dissipation in PP via Untreated CaCO₃

Calcium carbonate is admissible as a fatigue-stabilizing inclusion only if cyclic loading results in delayed crack initiation through energy dissipation and crack deflection rather than accelerated brittle failure.

Core Doctrine

Fatigue resistance is admissible only if repeated cyclic loading delays crack initiation through cumulative energy dissipation. Earlier crack formation or reduced cycle life renders the claim non-admissible.

Boundary Summary
Valid only if

Cycles to crack initiation increase meaningfully relative to neat polypropylene under identical loading.

Invalid when

Crack initiation occurs earlier or fatigue life decreases, indicating accelerated damage accumulation.

Governing variable

Cycles-to-failure and crack initiation timing under repeated low-strain loading.

Tested Assumption

Mineral fillers reduce fatigue life

The assumption under test is that mineral fillers uniformly reduce fatigue life in polypropylene by increasing brittleness and accelerating crack formation.

This page asks whether untreated calcium carbonate instead redistributes cyclic stress through crack deflection and localized energy dissipation, delaying failure over extended loading history.

Why This Matters

Fatigue dominates real-world failure

Commodity plastics are typically evaluated under static tensile or impact conditions, while real-world failure is governed by repeated sub-critical loading.

Fatigue behavior is often inferred rather than directly measured, leaving a major failure domain structurally under-characterized.

Why This Is Extended Cycle

Damage accumulates, not appears

This is not a short-cycle strength question. The governing issue is whether repeated low-strain loading accumulates damage or dissipates it over time.

Entry into this branch is justified because fatigue failure emerges only after large numbers of cycles, not immediate loading events.

Experimental Regime

Minimal admissible test

Injection mold polypropylene containing 15 wt% untreated calcium carbonate and subject samples to low-strain cyclic flexural fatigue.

  • Material: PP + 15 wt% untreated CaCO₃
  • Mode: cyclic flexural fatigue
  • Range: 10⁵–10⁶ cycles
  • Primary readout: cycles to crack initiation

No compatibilizers, coatings, or surface treatments are admissible.

Governing Variable

Cycle-resolved crack initiation

The governing variable is the number of cycles required for crack initiation relative to neat polypropylene.

  • Delayed initiation = candidate energy dissipation
  • Earlier initiation = accelerated failure pathway
  • No change = non-admissible improvement

Static strength or stiffness changes are non-admissible if fatigue behavior does not improve.

Failure Signature

What breaks the claim

  • Earlier crack initiation than neat PP
  • Reduced total fatigue life

In Extended Cycle, early fatigue failure is the decisive falsification signal.

Pass Criterion

What counts as temporal survival

The claim passes only if cycles to crack initiation increase by at least 30% relative to neat polypropylene.

This threshold establishes meaningful delay, not marginal variation.

Below the Edge

What conventional filler logic may miss

  • Brittleness is not the only governing fatigue mechanism
  • Particle interfaces may deflect or arrest cracks
  • Energy dissipation pathways may emerge only under cyclic loading

This does not prove universal improvement. It defines a valid fatigue boundary question.

Status

Current cycle state

Final · Mid-Cycle

PASS

≥30% increase in cycles to crack initiation relative to neat PP.

FAIL

Earlier crack initiation or reduced fatigue life.

Fatigue resistance is admissible only if it survives repetition.

A material is not fatigue-resistant because it is strong once. It is fatigue-resistant only if repeated loading does not progressively break the claim.