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Stress Localization and Strength Optimization of Frame Material with Periodic Microstructure by Fabian Lipperman; Moshe B. Fuchs; Michael Ryvkin is a Engineering article available to read on EtoBox.

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Stress localization for an elastic material with periodic microstructure is applied to the optimal design of rigid-jointed cellular material. The discretized form of localization was published some 20 years ago but was primarily used for strain localization (and stiffness homogenization). The stress localization aspect did not receive much attention in the past and even more so for materials modeled as rigid-or pinjointed lattices. With the present minimization of the maximum local stress under a macroscopic stress state efficient stress localization was a major concern and it has therefore received due consideration in this paper. A ground-structure approach was used for the optimal design where in addition to topological variables for the unit cell geometric variables determine the coordinates of two internal nodes and the overall shape of the representative volume element. In a first instance the material was subjected to a uniaxial and a pure shear macroscopic state of stress of arbitrary orientation. Three regular shapes emerged from the optimization: a square crossed by diagonals, an equilateral triangle and the Kagomé. The three figures, which exhibit predominant axial modes

Who reads Stress Localization and Strength Optimization of Frame Material with Periodic Microstructure?

Author

Fabian Lipperman; Moshe B. Fuchs; Michael Ryvkin

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0045-7825)

Published

2008

Language

EN

Field

Engineering (Physical Sciences)