Premium
A simple algorithm for the analysis of axisymmetric thin shell metal forming
Author(s) -
Gavriushin S. S.,
Zienkiewicz O. C.
Publication year - 1986
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.1620230613
Subject(s) - rotational symmetry , simple (philosophy) , creep , algorithm , boundary value problem , shell (structure) , numerical analysis , mathematics , mathematical analysis , materials science , geometry , engineering , mechanical engineering , composite material , philosophy , epistemology
A numerical method for analysing large elasto‐visco‐plastic deformations of thin axisymmetric metal shells is presented. The formulation is based on membrane shell theory, using the total Lagrangian description and simple constitutive relations, which include elastic, plastic and creep effects. The method of lines is used in the computational algorithm to separate variables. The algorithm involves two steps: first the initial value problem in load‐time is considered, then the boundary problem is solved by finite differences. A numerical procedure to study the inverse metal forming problem is developed. The effectiveness of the proposed algorithm is illustrated by several examples.