Battery knowledge · Thermal management and heat transfer
Thermal stress
Mechanical stress caused by a temperature change when a part cannot expand freely or is joined to a material that expands differently. A fully restrained aluminium bar warmed by 50 K would carry about 80 MPa. Repeated cycles fatigue welds, solder joints and adhesive bonds, which is what thermal shock testing sets out to provoke.
- Unit
- Pa
- Relationship
- σ = E·α·ΔT
Example
Compare free and constrained expansion
An illustrative fully constrained linear elastic material with E = 2 GPa, expansion coefficient 50×10⁻⁶/K and ΔT = 20 K has EαΔT = 2 MPa. A freely expanding part does not develop this stress from uniform heating alone.
Explore the graph
A fully restrained linear elastic bar develops stress proportional to temperature change.
A 50 K change gives 80.5 MPa in this ideal fully restrained model.
|σ| = E α |ΔT| for full uniaxial restraint
Illustrative model. Constant E and α, small strain, no yielding or relaxation. Heating creates compression and cooling tension in a fully restrained bar.
Use in Lemonergy
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This is a reference concept. No executable Lemonergy block has been verified for this term.
References & further reading
Further reading on this topic
These sources provide broader context; they are not presented as citations for every statement in this entry.
- A General Energy Balance for Battery Systems
Dawn Bernardi, Ellen Pawlikowski, John Newman · Journal of The Electrochemical Society · 1985
Topic background · Battery energy balance and irreversible and reversible heat contributions. Reduced thermal models require explicit assumptions and current-sign conventions.
- University Physics Volume 2, §1.6: Mechanisms of Heat Transfer
OpenStax, Rice University
Topic background · Conduction, convection, radiation and thermal resistance.