What units should I use for CTE?

Enter CTE values in ppm per degree C. The calculator converts them to strain internally.

What does the stress estimate assume?

It is a simple elastic estimate using the entered modulus. It does not model plasticity, relaxation, or geometry.

Where is this useful?

It is useful for coatings, ceramics, electronics, composites, and teaching examples.

ToolsConductScience tool

Thermal ExpansionFree in-browser calculator

Thermal Expansion Mismatch Calculator.

Compare two coefficient-of-thermal-expansion values across a temperature change. For materials research, education, and protocol documentation only. Not a certified inspection, compliance, asset-integrity, or final acceptance tool.

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Validated2026-05-24

CitableMethods and citation included

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Try it out

Load example cte mismatch data to see the full workflow

CTE Mismatch inputs

Material A CTE

ppm/C

Material B CTE

ppm/C

Temperature change

Reference length

Elastic modulus

GPa

Results

Mismatch strain

1875 microstrain

Length mismatch

93.75 um

Elastic stress

131.25 MPa

A CTE

B CTE

Mismatch

1875

Review notes

Elastic stress is a screening estimate only; boundary conditions and relaxation dominate real assemblies.

Methods note

Mismatch strain equals delta alpha times delta temperature. Length mismatch equals strain times original length.

Scope and limitations

For materials research, education, and protocol documentation only. Not a certified inspection, compliance, asset-integrity, or final acceptance tool.

Results are deterministic calculations from the values entered here. Review units, assumptions, and measurement quality before using outputs in reports or protocols.

Method

Uses the tool-specific formulas and assumptions shown in the calculator output.

Validated

Last validated 2026-05-24. Calculations are designed for planning and documentation support; verify procurement decisions against manufacturer specifications or institutional SOPs.

How to cite

How to Cite

Thermal Expansion Mismatch Calculator (1.2.0). ConductScience, Inc. 2026. Available at: https://conductscience.com/tools/thermal-expansion-mismatch-calculator

For materials research, education, and protocol documentation only. Not a certified inspection, compliance, asset-integrity, or final acceptance tool.

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