Public evidence

materials.thermal.linear_expansion

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

Open calculator API Capability Download JSON CVP Manifest MCP Review policy

CVP status

Free one-dimensional expansion; no material lookup, constraints, or α(T) integration.

Declared partition coverage: PASS · 5/5 declared partitions (forward, final-length, coefficient, temperature, invalid-domain)
Versions: Calculation 1.0.0 · CVP protocol 1.0.0-proposed
CVP identity: 0/0 property · digest 3511c5999fb0

Verification

Legacy regression suite: 7/7 calculation tests · Production surface contract 6/6

Three distinct suites: educational examples on the calculator page, this legacy regression count (7/7 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Calculation version 1.0.0. CVP 1.0.0-proposed. 5/5 golden · 2/2 CVP boundary · 7/7 invalid · 2/2 cross-interface · 6/6 CVP contract. digest 3511c5999fb0.

Golden (oracle-backed) 5 / 5
CVP boundary 2 / 2
Invalid input 7 / 7
Cross-interface 2 / 2
CVP contract 6 / 6
Interfaces PASS · UI (SSR) / REST / MCP
Interface claim ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only.
Assurance Engineering

release artifacts aligned PASS
schema output required declared PASS
schema valid input executes PASS
engine success output validates schema PASS
schema rejects incomplete input PASS
rest success payload validates schema PASS

Fingerprint sha256:071fcb6d82566601eb79e27d896205c51543e914cbd6dabf884fcfa92d87e5b8

Input schema sha256:6fa39817fe602bc48d760da25732c45976e52cb17da0e237972714fcfd90f723 · Output schema sha256:9bc4a37e665c7c4be6e2aca837381a25b64ec5fefef2f57582cddf8aa2e16027 · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool: linear-thermal-expansion
Engine: linear-thermal-expansion
Engine build: 2026-09-29
Evidence core: 2026-09-29T08:26:16.743Z
Rendered: 2026-09-29T08:28:05.159Z
Last reviewed: —

Assumptions

Constant mean linear expansion coefficient over the entered temperature interval
Free, unconstrained expansion
One-dimensional isotropic response along the measured direction
No material-property database or automatic coefficient selection
Not thermal stress, volumetric expansion, phase transformation, creep, or temperature-dependent integration

Limitations

Constant mean alpha over the entered interval
Free one-dimensional expansion; no thermal stress
No material-property database or automatic coefficient selection

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

ISO 80000-5:2019 — Quantities and units — Thermodynamics — Thermodynamic quantities and units
Supports: Names, symbols, definitions, and units for thermodynamic quantities
ASTM E228-22 — Linear Thermal Expansion of Solid Materials — Scope and significance
Supports: Linear expansion uses measured length change and temperature change; coefficient applicability depends on the material and interval
NIST — Effects of Temperature, Humidity, and Pressure — Thermal expansion
Supports: ΔL/L is related to α and ΔT

Legacy published checks

Golden and boundary cases from the legacy Evidence JSON. CVP property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the Manifest — including SKIP when a suite has no vectors.

ID	Kind	Status	Detail
`expand-two-metres`	golden	pass	Expected delta_length_m=0.0012 · final_length_m=2.0012 · Actual mode=delta_length · model=constant_coefficient_free_linear_expansion · length_m=2 · alpha_per_K=0.000012 · delta_temperature_K=50 · thermal_strain=0.0006000000000000001 · delta_length_m=0.0012000000000000001 · final_length_m=2.0012
`cooling-signed-change`	golden	pass	Expected delta_length_m=-0.0012 · final_length_m=1.9988 · Actual mode=delta_length · model=constant_coefficient_free_linear_expansion · length_m=2 · alpha_per_K=0.000012 · delta_temperature_K=-50 · thermal_strain=-0.0006000000000000001 · delta_length_m=-0.0012000000000000001 · final_length_m=1.9988
`solve-coefficient`	golden	pass	Expected alpha_per_K=0.000012 · Actual mode=coefficient · model=constant_coefficient_free_linear_expansion · length_m=2 · alpha_per_K=0.000011999999999999999 · delta_temperature_K=50 · thermal_strain=0.0006 · delta_length_m=0.0012 · final_length_m=2.0012
`solve-temperature-change`	golden	pass	Expected delta_temperature_K=-50 · Actual mode=temperature_change · model=constant_coefficient_free_linear_expansion · length_m=2 · alpha_per_K=0.000012 · delta_temperature_K=-49.99999999999999 · thermal_strain=-0.0006 · delta_length_m=-0.0012 · final_length_m=1.9988
`boundary-zero-length`	boundary	pass	Expected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
`boundary-zero-temperature-span-for-coefficient`	boundary	pass	Expected DIVISION_BY_ZERO · Actual DIVISION_BY_ZERO
`boundary-unknown-mode`	boundary	pass	Expected INVALID_MODE · Actual INVALID_MODE