The Importance of Checking Equilibrium in FEA
Abstract: Satisfaction of equilibrium of nodal forces in the h- and p-versions of the finite element method is a property of the displacement formulation and is unrelated to the quality or reliability of the finite element solution.
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“Accurate and reliable stresses and Stress Intensity Factors are required for determination of static and residual strength and for crack growth analyses in analysis tools such as AFGROW. For some geometries, industry solutions are either insufficient or nonexistent. The geometry, applied forces, and crack shapes and dimensions must be modeled reasonably well to obtain useful engineering data. The p-version finite element software StressCheck® (ESRD, Inc., St. Louis, Missouri, USA) is used to demonstrate how accurate finite element solutions can lead to good quality engineering analysis.”