For these locations of the mid nodes, the Jacobian becomes singular at the corner node thus making displacement derivatives infinite and stresses and strains become infinite as well.
The McGehee transformation was introduced by Richard McGehee to study the triple collision singularity in the n-body problem.
In mathematics, Motz's problem is a problem which is widely employed as a benchmark for singularity problems to compare the effectiveness of numerical methods.
Solutions which are singular in the sense that the initial value problem fails to have a unique solution need not be singular functions.
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A singular solution ys(x) of an ordinary differential equation is a solution that is singular or one for which the initial value problem (also called the Cauchy problem by some authors) fails to have a unique solution at some point on the solution.
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