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About the numerical simulation of the sheet metal stamping process
Author(s) -
Gontier C.
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620370408
Subject(s) - sheet metal , tangent , yield surface , stamping , yield (engineering) , displacement (psychology) , basis (linear algebra) , instability , bending , structural engineering , mathematics , engineering , finite element method , mechanical engineering , geometry , materials science , mechanics , constitutive equation , physics , composite material , psychology , psychotherapist
The following is a summary of several years' research work devoted to the development of a sheet metal forming computer program. A few aspects of the membrane formulation are discussed, leading to the conclusion that instability problems cannot be avoided. Then a complete formulation including bending, based on the large‐displacement equations of plates, is developed. An expression for the tangent matrix is obtained. Elastic behaviour, yield equation and the plastic flow rule are reformulated in a suitable basis. A reliable method for stress projection on the yield surface, based on a ‘dichotomic’ algorithm, is presented. Many other features of the simulation problem are discussed: contact and frictional effects, thickness updating and geometry definitions. Finally, three illustrative test cases are presented.