Notes on Finite Element Modeling
Abstract: It is important to make a clear distinction between numerical simulation and finite element modeling: 1. In numerical simulation an idea of a physical reality is precisely stated in the form of mathematical equations. Model form errors, uncertainties in input data, and the errors of numerical approximation are estimated and controlled separately. This is possible only if the underlying mathematical problem (such as a problem of continuum mechanics) is well posed and the numerical problem satisfies the requirements of consistency and stability. 2. In finite element modeling, on the other hand, a numerical problem is constructed by piecing together elements from the element library of a finite element analysis (FEA) software product without providing evidence that the underlying mathematical problem is well posed and the numerical problem satisfies the requirements of consistency and stability. Therefore, we cannot assume that numerical convergence will exist, or that a numerical error can be computed.
Related ESRD Resources
Looking for Resources?
Recent News & Events
“At DST Group, we have effectively used StressCheck® over the last 10 years to determine accurate stress intensity factors. The results have been used to improve our residual strength and structural life estimates for aircraft in service with the Royal Australian Airforce, including C-130, P-3C and F/A-18 A/B. We have found it to be extremely easy to use and a very versatile code with which to create parametric models.
We have recently used StressCheck® to obtain improved stress intensity factor solutions (Improved stress intensity factors for selected configurations in cracked plates and Improved stress intensity factors for a single corner crack at a loaded fastener hole) for five key generic configurations. These transferable parametric results have been published externally. One specific example is the non-linear contact analysis of a cracked, filled fastener hole, with both fastener and remote plate loading.”
Dr. Manfred Heller, HeadStructural & Damage Mechanics, DST Group