Meaning
A numerical method finds solutions to physical equations by dividing a large structure into many smaller components connected at vertices. Engineers utilize finite element modeling to predict the mechanical strength and thermal distribution of complex multi-layer chip packages. The solver calculates force and motion at every corner of every small part to provide a complete picture of internal stress.
Computational limits arise when the number of elements exceeds the available hardware memory.
Domain Decomposition
Geometrical files are converted into a grid of tiny triangles or squares. During finite element modeling, the shapes adapt to follow the curves of metal interconnects. Smaller parts are used in narrow regions to capture high-pressure spots.
Matrix Computation
Equations describing the connections are solved simultaneously across the entire grid. The output of finite element modeling yields color-coded maps of heat and physical displacement. Data from these maps identify where the package is most likely to crack during solder reflow.
Structural Assessment
Designers verify that the proposed architecture survives the rapid heating of a manufacturing assembly line. Results from finite element modeling lead to adjustments in material choices or thickness levels. A finalized report serves as proof that the design meets the safety margins required for volume production.
