Ca. Hall et al., A NONSTANDARD SYMMETRY-BREAKING PHENOMENON IN SHEET-METAL STRETCHING, International journal of engineering science, 32(9), 1994, pp. 1381-1397
Mathematical models for stamping of metal blanks are based upon the ph
ysical principles of equilibrium of forces, material constitutive laws
and constraints resulting from contact between the blank and the pres
s itself. We investigate singularities in the differential algebraic e
quation (DAE) resulting from one such model. In particular, the inabil
ity of numerical integrators to preserve anticipated symmetries in its
solution as time advances is shown to be due to singularities on or c
lose to the solution curve.