Thermal / materials engineering

Real layered materials don’t have one conductivity number — they have a tensor.

Free calculators give you a single averaged k. Full CAE platforms are custom-quoted and built for multiphysics workflows. This tool sits in the gap: enter your constituent conductivities and geometry, get k∥ (along the structure), k⊥ (across it), and the anisotropy ratio — in under a minute, in your browser.

Try the free calculator below ↓ Get Tier 1 — $67 one-time

Free lifetime updates · One-time payment · Instant access

The gap

Single-formula calculators can’t see structure. Full CAE is overkill for one answer.

Free tools (Engineers Edge, TrueGeometry, and similar) apply one mixing-rule formula — series or parallel — to a volume fraction and two conductivities, and hand back one isotropic number. That’s fine for a sanity check, but it’s wrong for anything with structure: layered PCB stacks, freeze-cast ceramics, battery jelly-rolls, aerospace composite panels, nacre-like brick-and-mortar architectures, aligned-fiber reinforcements. Those materials conduct heat differently along different axes — sometimes by 10× or more.

The other option is a full CAE platform, custom-quoted and scoped around thousands of core-hours — built for engineers running full multiphysics workflows, not for someone who needs one directional k-tensor answer today. This tool answers that one question directly, with the method shown, not a black box.

Try it free

Laminate, brick-and-mortar, or aligned-fiber — pick your microstructure

Runs entirely in your browser — nothing is uploaded. This is the same physics validated in R&D against a full finite-volume homogenization solver (see the method note under each result).

Laminate
Brick & mortar
Aligned fiber
Fiber preset uses a square-packed array (max solid fraction ≈ 0.785); no aspect-ratio input needed.
k∥ (parallel)
k⊥ (perpendicular)
Anisotropy ratio
How it works

Three steps, no CAE license

1

Pick a preset

Laminate, brick-and-mortar (nacre-like), or aligned-fiber (square-packed).

2

Enter your numbers

Two constituent conductivities and a solid volume fraction (plus aspect ratio for brick).

3

Get k∥, k⊥, and the anisotropy ratio

Every result ships with a method note — what’s exact, what’s a validated bound or approximation, and its known accuracy range.

Tier 1
$67
One-time payment — no subscription, ever
Three presetsLaminate, brick-and-mortar, aligned-fiber — parametric, no upload required.
Runs in your browserSelf-contained — the same file works offline once downloaded.
Method shown, not a black boxEvery result states whether it’s exact, a validated bound, or an effective-medium approximation, with its accuracy range.
Print/PDF reportOne click turns any result into a page you can attach to a design doc or datasheet.
Get Tier 1 — $67

Free lifetime updates · One-time payment · Instant access

Not the right fit? Email raijin@sovereignagentics.io and we’ll comp you a one-time swap for any other tool in the catalog of equal or lesser value. No cash refunds.