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# Common terminologies related to Finite Element Method (FEM) ---------------------------------------------------------------------------------------------------------------------------

1. Finite Element: A small, simple shape that represents a portion of a complex structure in FEM analysis.

2. Mesh: The process of dividing a complex structure into smaller finite elements.

3. Nodal Points: Points where multiple finite elements connect in the mesh.

4. Shape Function: A mathematical function used to interpolate values within each finite element based on nodal values.

5. Degrees of Freedom (DOF): The number of independent displacements or rotations at each nodal point.

6. Global Stiffness Matrix: A matrix that represents the stiffness relationships between all nodes and DOFs in the entire structure.

7. Boundary Conditions: Constraints applied to specific nodes or DOFs to simulate real-world support or constraints.

8. Load Vector: A vector that represents the external forces or loads applied to the structure.

9. Solver: The computational algorithm used to solve the system of equations in FEM analysis.

10. Static Analysis: FEM analysis to determine the response of a structure under static (unchanging) loads.

11. Dynamic Analysis: FEM analysis to study the behavior of a structure under dynamic (changing) loads or vibrations.

12. Transient Analysis: FEM analysis to study the behavior of a structure over time.

13. Material Properties: The mechanical characteristics of the material used in the structure, such as Young's modulus, Poisson's ratio, and density.

14. Stress Analysis: FEM analysis to calculate the stresses and strains in a structure under various loads.

15. Deformation: The change in shape or displacement experienced by the structure under loads.

16. Convergence: The process of refining the mesh and re-analyzing until the results stabilize and become more accurate.

17. Post-processing: Analyzing and interpreting the results obtained from the FEM simulation.

18. Adaptive Analysis: Adjusting the mesh during analysis to concentrate computational resources in regions where the solution is changing rapidly.

19. Optimization: Using FEM to iteratively modify and improve the design to meet certain criteria or objectives.

20. Von Mises Stress: A scalar value used to predict yielding or failure in materials under complex loading conditions.

21. Buckling Analysis: FEM analysis to study the behavior of structures under compressive loads to determine the critical buckling load.

22. Modal Analysis: FEM analysis to determine the natural frequencies and mode shapes of a structure.

23. Heat Transfer Analysis: FEM analysis to study the distribution of heat within a structure.

24. Contact Analysis: FEM analysis to model the interaction between different parts of a structure.

25. Nonlinear Analysis: FEM analysis that considers large deformations or material nonlinearities.

These are just some of the commonly used terms in the realm of Finite Element Method. Understanding these concepts is essential for engineers and analysts working with FEM to accurately model and analyze complex structures and systems.

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