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Design optimization of non‐linear structures with rate‐dependent and rate‐independent constitutive models
Author(s) -
Jao S. Y.,
Arora J. S.
Publication year - 1993
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.1620361609
Subject(s) - viscoplasticity , constitutive equation , viscoelasticity , yield surface , mathematics , sensitivity (control systems) , material properties , surface (topology) , nonlinear system , engineering design process , materials science , finite element method , structural engineering , geometry , mechanical engineering , engineering , composite material , physics , quantum mechanics , electronic engineering
A design optimization process for non‐linear structures with history‐dependent materials modelled using the endochronic constitutive theory is described. This constitutive model does not use the concept of a yield surface and describes plastic, viscoplastic and viscoelastic behaviour with one set of equations. Therefore, development of the yield surface is not traced in numerical calculations, simplifying the implementation of response and sensitivity analyses. The total Lagrangian formulation incorporating both geometric and material non‐linear effects is used. Shape, non‐shape and material design parameters are treated simultaneously using the control volume concept, and static and dynamic problems are treated. A simple structure is optimized for several cases of static and impact loading conditions to demonstrate the procedure. Plastic and viscoplastic material behaviour as well as shape and non‐shape design parameters are treated in the example problems.