Fusion Guide
intermediate8 min read

Thermal and Thermal Stress Studies

Compute steady-state temperature distribution and the stresses caused by thermal expansion; thermal loads, contacts, stress-free temperature and results.

Overview#

A Thermal study calculates the steady-state temperature distribution and resulting heat flow in a design, given thermal loads. A Thermal Stress study combines that temperature field with mechanical loads and constraints to give the stresses caused by nonuniform thermal expansion. Autodesk states that Fusion thermal simulations are steady state: loads and constraints must be independent of time, and the solution is the state after an infinite amount of time. There is no transient (time-dependent) thermal study in the Fusion study list.

Use thermal studies for heat sinks, radiators and electronics (Autodesk's examples). Use thermal stress when a part is constrained while heating, or when temperature gradients or different expansion characteristics produce stress. Autodesk's examples are electronics and automotive parts.

Licensing: Thermal and Thermal Stress are basic studies that cost 3 tokens per solve, or are covered by the Fusion Simulation Extension; only Linear Static Stress cloud solves are covered by the subscription. The Solve dialog shows the live cost. Personal-use availability is not stated in the Simulation help.

Where to find it#

  • Simulation workspace > Setup tab > Study panel > New Simulation Study, then Study Type Thermal or Thermal Stress (or the New Study dialog).
  • Setup tab > Loads panel > Thermal Loads, then choose the Type: Applied Temperature, Heat Source, Convection, Radiation or Internal Heat. Thermal Stress studies also use Structural Constraints and the structural loads.
  • Settings (Setup tab > Manage panel > Settings): Global Initial Temperature (thermal) and Default Stress-free Temperature (thermal stress).
  • Results in the browser: Temperature, Heat Flux and Thermal Gradient (plus the structural results in thermal stress).

Step by step#

Thermal study:

  1. Create a Thermal study.
  2. Check materials: the material must have thermal conductivity, and a temperature difference must exist for heat transfer to occur.
  3. Define heat input with Heat Source (a specific power passing through faces, edges or vertices) or Internal Heat (power added to or removed from a body, in W, J/s or Btu/s; optionally per unit volume or as a curve versus temperature).
  4. Define heat removal and a temperature reference. At least one temperature-based load is required: Applied Temperature, Convection (film coefficient and ambient temperature) or Radiation (emissivity from 0 to 1 and surrounding temperature).
  5. Review contacts. Thermal studies support only Bonded and Offset Bonded contact. A bonded contact is perfectly conductive unless you enter a Thermal Conductance in W/(m^2 K); blank means infinite conductance.
  6. Optionally set the Global Initial Temperature. Because the solver is steady state, it only chooses a starting point and does not change the end result; a good guess may improve solve time.
  7. Generate the mesh if you want to inspect it, run Pre-check, and Solve.
  8. Review Temperature, Heat Flux and Thermal Gradient.

Thermal stress study:

  1. Create a Thermal Stress study.
  2. Apply materials, structural constraints, thermal loads and mechanical loads. All contact types except Free are supported, and Thermal Conductance applies here too.
  3. Check Default Stress-free Temperature in Settings (default 20 C).
  4. Solve. Results combine static stress and thermal results: Safety Factor (default), Stress, Displacement, Reactions, Strain, Temperature, Heat Flux, Thermal Gradient, Contact pressure and Contact force.

Options reference#

Thermal loadApplies toNotes
Applied TemperatureFaces, edges, vertices (K, C, F, R)Locks the entity to a temperature, with unlimited heat generated or removed
Heat SourceFaces, edges, vertices (W, Btu/s, J/s)Specific power passing through the entity; Unit Area option for per-area input
ConvectionFacesFilm coefficient and ambient fluid temperature; Autodesk quotes 5 to 25 W/m^2 K as a typical natural convection range for air
RadiationFacesEmissivity/absorptivity 0 to 1 and surroundings temperature; view factor of 1 is assumed and only exchange with the environment is modelled, not surface to surface
Internal HeatBodiesConstant or temperature-dependent; also available in electronics cooling

Other settings: Global Initial Temperature (thermal), Default Stress-free Temperature (thermal stress, default 20 C), Thermal Conductance on contacts. Adaptive Mesh Refinement is available for both studies, with Heat Flux or Temperature as baseline results.

Tips and pitfalls#

Warning: A temperature load cannot share an entity with other thermal loads (temperature, convection, radiation, surface heat); the software prevents it. Adjacent faces are allowed, but where they meet the vertex is overconstrained and shows artificially low nearby temperatures. Autodesk suggests a small chamfer or splitting a face to separate the loads.

Warning: A source with no means of removing heat gives an infinite temperature; energy in must equal energy out. A model with no temperature-based load fails to solve and the Solve dialog shows warnings (click Repair).

Tip: Convection coefficient dominates results. Vary it to see sensitivity. Autodesk notes that fans raise h and liquids give higher h than gases.

Warning: Thermal stress with an over-constrained part exaggerates stress compared with a real compliant joint.

Tip: Set the stress-free temperature to the temperature at which the part was assembled or made stress-free; Autodesk notes residual stress may accumulate when operating far below it.

Tip: Radiation can dominate when temperature differences are high or flow is low, because the equation uses temperature to the fourth power.

Warning: Fusion's thermal study has no fluid flow; convection coefficients are inputs. For airflow around electronics, Autodesk offers an Electronics Cooling study (Tech Preview).

Practice exercise#

Model a 60 x 60 x 3 mm aluminium plate (illustrative size) and apply 20 W Heat Source on a 10 x 10 mm patch with Convection on the other faces at an assumed h of 10 W/(m^2 K) and 25 C ambient. Because convection counts as a temperature-based load, no extra Applied Temperature is needed. Compare maximum temperature for a flat plate and a finned version. Expected result: the finned version runs cooler because of the larger convective area. Then create a Thermal Stress study with one edge fixed and observe the distortion.

Worked example: a power transistor on an aluminium plate#

The power, dimensions, h and conductivity below are illustrative assumptions; the formula is standard heat transfer. A regulator dissipates 8 W on a 60 x 60 x 3 mm aluminium plate (k about 167 W/mK) with both faces in still air at 25 C, h = 10 W/m^2K.

  1. Convective area: two faces of 0.0036 m^2 plus edges of 0.00072 m^2, about 0.0079 m^2.
  2. Average temperature rise: dT = P / (h A) = 8 / (10 x 0.0079) = 101 K, so about 126 C average.
  3. Fusion check: 8 W Heat Source on the mounting patch, Convection h = 10 at 25 C on the other faces. The plate should be nearly uniform with a hot spot at the transistor.
  4. Remedies: h = 50 gives dT = 8 / (50 x 0.0079) = 20 K; ten times the area at the same h gives about 10 K. Re-run to confirm.

Estimating h#

Autodesk gives only the 5 to 25 W/m^2 K natural-convection range for air. For other conditions use a heat transfer reference or measurements; run the study at h, 2h and h/2 and, if the maximum temperature moves a lot, the boundary condition dominates and you should measure.

Thermal stress numbers#

General physics, not Autodesk data: free expansion strain = alpha x dT. Aluminium alpha is about 23e-6 /K; with dT = 100 K, strain = 0.0023 and a 60 mm plate grows about 0.138 mm. If fully constrained, sigma = E x alpha x dT = 68900 x 23e-6 x 100 = 158 MPa (typical E). Differential expansion matters: a steel screw (alpha about 12e-6) in aluminium changes preload by roughly 22 micrometres over a 20 mm clamp length for 100 K.

CaseThermal stress behavior
Free to expand uniformlyNearly zero stress, only displacement
Constrained at both endsCompressive stress E alpha dT
Uniform temperature but different materials bondedStress at the interface
Gradient through thicknessBending distortion and stress

Heat sources and sinks: practical settings#

  • Internal Heat on a body takes total power (W) unless Unit Volume is checked; electronics boards from the Design workspace import THERMALLOSS attributes as Internal Heat loads.
  • Applied Temperature idealizes an infinite heat sink; heat flow depends on the mesh near that face.
  • Do not apply Applied Temperature and another thermal load to the same face.
  • Heat Source can model friction heating, for example on a brake pad face.

Failure modes and fixes#

SymptomCauseFix
Solve fails with warningsNo temperature-based load, or only a heat sourceAdd Applied Temperature, Convection or Radiation; use Repair
Temperature is exactly ambientZero power or load on a suppressed bodyCheck the load list
Very high peak at the sourceSmall source area, high power densityCheck mesh and source area
Thermal stress is hugeOver-constrained or wrong stress-free temperatureFree the part; adjust the stress-free temperature
Overcooled node at a face junctionTemperature and convection on adjacent faces share a vertexAdd a chamfer or split a face
Heat does not cross a jointConductance set too low, or no contactCheck Thermal Conductance and the contact set

Practice exercise#

  1. Hand estimate: steady rise of 101 K for h = 10 and 20 K for h = 50 (illustrative values above).
  2. Model the plate with 8 W Heat Source on a 10 x 10 mm patch and Convection on other faces. Solve for both h values and compare mean and peak temperature.
  3. Add a Thermal Stress study with one edge fixed and the plate free elsewhere; record displacement and stress.
  4. Fix the plate on opposite edges and observe the stress rise toward the constrained-expansion estimate of about 158 MPa.
  • Contacts
  • Static Stress Study
  • Cloud Solve and Credits

Sources

Checked against these Autodesk help topics (opens autodesk.com):

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