Interesting analysis. I am thinking that the way FEA is currently used changed a lot over the past years (now used a lot for 'real-time' simulation, generative design, etc). So it would not be surprising if there are new alternative methods in the future for some applications. Thank you for your...
Discrete derivatives with FDM lead to a grid with nodes periodically spaced (see picture). A grid may not be as good at describing shapes as a mesh, but a grid has some advantages. For example, using Fourier Transform to solve equations in Fourier space, which is very fast (you don’t inverse a...
This is based on this original method (https://www.sciencedirect.com/science/article/pii/S0045782597002181) that I improved during my PhD.
It involves the same equations as the ones used by FEA (mechanical equilibrium and linear elasticity from continuous mechanics). The difference is from the...
I have started to develop a structural analysis tool (linear elastic response) using an alternative method to FEA, and I am wondering if the tool would be useful. The method uses a regular grid rather than a mesh. So it is less accurate for sharp shapes but seems to be very fast. Since I am not...
