MinMaxDM Distribution Family for Analysis of the Tensile Strength of a Unidirectional Composite

Mechanics of Composite Materials 2010
Jurijs Paramonovs, Jānis Andersons, Mārtiņš Kleinhofs, Ilmārs Blumbergs

An analysis of the tensile strength of some fiber or fiber bundle specimens is presented. The specimens are modeled as chains of links consisting of longitudinal elements (LEs) with different cumulative distribution functions of strength, corresponding to the presence and absence of defects. Each link is considered as a system of parallel LEs a part of which can have defects. In the simplest case, the strength of defective elements is assumed equal to zero. The strength of a link is determined by the maximum average stress the link can sustain under a growing load. To calculate the stress, the randomized Daniels model or the theory of Markov chains is used. The strength of specimens is determined by the minimum strength of links. The concept of MinMaxDM family of distribution functions is introduced. A numerical example of processing experimental results for a monolayer of carbon bundles is presented.

Keywords
composite materials fiber strength
DOI
10.1007/s11029-010-9145-y
Hyperlink
http://link.springer.com/article/10.1007/s11029-010-9145-y

Paramonovs, J., Andersons, J., Kleinhofs, M., Blumbergs, I. MinMaxDM Distribution Family for Analysis of the Tensile Strength of a Unidirectional Composite. Mechanics of Composite Materials, 2010, Vol.46, Iss.3, pp.275-286. ISSN 0191-5665. e-ISSN 1573-8922. Available from: doi:10.1007/s11029-010-9145-y

Publication language
English (en)