Meaning
Numerical method for finding approximate solutions to complex engineering problems involving multiple physical phenomena that interact within a single geometric model. Applying finite element multi-physics enables the simulation of complex interactions such as the relationship between mechanical stress and thermal expansion. Modeling provides a detailed view of the internal state of a device under load.
Simulation Logic
Mathematical representations of heat transfer, structural mechanics, fluid dynamics and electrostatic forces are solved on a single mesh. This approach differs from single domain simulations that ignore the feedback loops between different physical phenomena. Interdependence is captured by using the output of one equation as the input for another within each element of the grid.
Manufacturing Optimization
Chinese fabrication facilities utilize these simulations to predict the warping of large silicon wafers during high temperature processing. Reducing the failure rate for domestic lithography steps is a priority under the Made in China 2025 industrial policy. Documentation demonstrating the use of multi-physics modeling can support applications for the High and New Technology Enterprise tax status (which offers a preferential corporate income tax rate).
Statutory Compliance
Accuracy of the simulation is limited by the precision of the mesh and the assumptions made at the contact interfaces between different materials. Coarse grids often fail to capture the high stress gradients at the corners of a package.
