A NONSTANDARD SYMMETRY-BREAKING PHENOMENON IN SHEET-METAL STRETCHING

Citation
Ca. Hall et al., A NONSTANDARD SYMMETRY-BREAKING PHENOMENON IN SHEET-METAL STRETCHING, International journal of engineering science, 32(9), 1994, pp. 1381-1397
Citations number
10
Categorie Soggetti
Engineering
ISSN journal
00207225
Volume
32
Issue
9
Year of publication
1994
Pages
1381 - 1397
Database
ISI
SICI code
0020-7225(1994)32:9<1381:ANSPIS>2.0.ZU;2-3
Abstract
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.