Finite Element Method
Finite elements method is quite easy in comparison with analytical methods, , however if the user misuse it the outcome will be inaccurate or even wrong. As a result, any numerical model must be verified by experiments or field measurements. Only then the model is acceptable for use.
Since there is no specific guidelines for numerical modeling, and few managers who understand well enough to regulate modeling, the newly users usually search on internet and copy some of very bad analysis being performed by others. Talking personally, I have seen more then enough modelings containing obvious mistakes, which makes me come to believe that without gaining insight no modeling can be immune of mistakes. A brief summary of FEM modeling has been described below:
Finite element concepts
The basic idea of finite element method is to divide a whole domain into simpler parts, called elements. For each element partial equations are estimated. In addition to dividing the part into elements, the boundary and initial conditions of the original problem is applied to the finite element model and will be compiled to mathematical terms. This approach brings several advantages including :
- Simplification of complex geometries
- Providing an accurate point of view about the material
- The ability of tracking local effects
FEM applications
Finite element method covers a wide range of engineering projects including : Civil engineering, structural analysis, fluid flow, heat transfer, electromagnetic fields, soil mechanics, acoustics and biomechanics
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