Shape-memory heat engine (mechanical)

Matrix context

D = disequilibrium row · C = coupling family column. A cell reads the state of the atlas for that pair.

D.01 × C.09 · Temperature gradient × Caloric (magneto/electro/elasto)family: Caloric (magneto/electro/elasto)

Typed bounds on this route

Every limit the atlas holds for this route, as constraint records: reached through bounded_by claims on the route's own entities. Hard bounds (an upper bound or a formula) decide the thermodynamic-bound check above; benchmarks, constitutive relations and resource limits are listed and never decisive. No prose limit exists anywhere (pass 42).

• Carnot limit · formula-bound · hard, applies to this route
  η ≤ 1 − T_c/T_h for any heat engine between reservoirs at T_h and T_c

Steps

1. 01
   Temperature gradient —drives→ Thermal shape-memory effectestablishedclaim record

   thermal → mechanical · loss to thermal

   • a shape-memory alloy (NiTi) cycled between a hot reservoir above its austenite finish temperature and a cold one below its martensite finish temperature, under load

   solid · temperature gradient required

   refs [1] [2]
2. 02
   Thermal shape-memory effect —produces→ Mechanical motionestablishedclaim record

   mechanical → mechanical

   refs [2] [1]
3. 03
   Mechanical motion —converts into→ Mechanical workestablishedclaim record

   mechanical → mechanical · loss to thermal

   refs [3]

Evidence for the complete composition · 2

1. [1]
   K. Otsuka (ed.), C. M. Wayman (ed.). Shape Memory Materials (1998)

   Cambridge University Press · book, no DOI · record
2. [2]
   P. Kumar et al.. Shape memory alloy engine for high efficiency low-temperature gradient thermal to electrical conversion (2019)

   Applied Energy 251, 113277 · doi:10.1016/j.apenergy.2019.05.080 · crossref ✓ 2026-09-20 · record

Evidence for the constituent relations · 3

1. [1]
   K. Otsuka (ed.), C. M. Wayman (ed.). Shape Memory Materials (1998)

   Cambridge University Press · book, no DOI · record
2. [2]
   P. Kumar et al.. Shape memory alloy engine for high efficiency low-temperature gradient thermal to electrical conversion (2019)

   Applied Energy 251, 113277 · doi:10.1016/j.apenergy.2019.05.080 · crossref ✓ 2026-09-20 · record
3. [3]
   A. Bejan. Advanced Engineering Thermodynamics (4th ed.) (2016)

   Wiley · doi:10.1002/9781119245964 · crossref ✓ 2026-09-19 · record