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Structural analysis and optimization modelling including fracture conditions
Author(s) -
Eschenauer H. A.,
Kobelev V. V.
Publication year - 1992
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.1620340312
Subject(s) - fracture (geology) , tension (geology) , fourier series , fourier transform , stress (linguistics) , series (stratigraphy) , optimization problem , materials science , structural engineering , mathematics , mathematical analysis , mathematical optimization , engineering , composite material , geology , ultimate tensile strength , paleontology , linguistics , philosophy
This paper introduces a model of a woven monolayer composed of two orthogonal fibres and describes an optimization technique including a fracture condition. The first fracture behaviour of the material containing a local break is analysed. The description of the stress‐state in the local break vicinity is reduced to the determination of a special form of the Green function for simultaneous finite‐difference equations. The problem allows the analytical solution for unknown functions in terms of Fourier series. The solution of the problem shows that the fracture behaviour of the material depends on the presence of stabilizing tension of fibres parallel to the crack direction. The model is used for establishing an optimization model and for applying an optimization procedure including strength conditions.