Which analysis is unsuitable for modeling the breaking of glass?

Linear static analysis is unsuitable for modeling the breaking of glass due to its inherent limitations in addressing non-linear behavior and material failure. Glass exhibits brittle failure, meaning it can shatter or break under stress without significant plastic deformation. Linear static analysis assumes that materials behave elastically and does not account for the complexities of material yielding, cracking, and eventual failure that occur in such scenarios.

In contrast, dynamic analysis can capture the effects of loads that vary with time, which is useful in understanding the impact forces that can lead to breakage. Non-linear analysis allows for the simulation of materials that do not follow a linear stress-strain relationship, making it possible to model the complex behavior of glass when it cracks or breaks. Thermal analysis, while not directly related to mechanical failure, is used to understand the effects of temperature changes on materials, which can contribute to failure under certain conditions.

Thus, linear static analysis falls short in providing an accurate representation of the breaking behavior of glass, making it the correct choice for this question.