Meaning
Mathematical representation of the three-dimensional deformation of a material resulting from a change in temperature. The thermal strain tensor describes how a body expands or contracts in different directions, accounting for both normal and shear components of the deformation. In manufacturing, this tensor is used to predict the dimensional changes of a part during heat treatment, welding, sintering or injection molding.
Precise knowledge of these values allows engineers to design molds and fixtures that compensate for the movement of the material as it cools to room temperature.
Dimensional Stability
Expansion coefficients vary across the axes of anisotropic materials like fiber-reinforced polymers or single crystals. When a part undergoes a thermal cycle, the thermal strain tensor provides the data needed to calculate the final shape and internal stress distribution. This analysis is a requirement for moving from a pilot design to a production run where tolerances are tight.
If the tensor is not accurately modeled, the parts may not fit into their assemblies or may develop cracks over time.
Mechanical Audit
Stress testing confirms that the predicted deformations match the actual performance of the manufactured part. A production yield depends on the ability to replicate the thermal history of each unit consistently. When the measured strain deviates from the predicted thermal strain tensor, it often indicates a problem with the material composition or the cooling system.
Technicians use strain gauges and digital image correlation to verify the tensor components during the first article inspection.
Material Property
Symmetry within the lattice reduces the number of independent variables needed to define the tensor.