Abstract
Multicomponent systems are commonly used in nano-scale technology. Specifically, arrays of nanopillars are encountered in electro-mechanical sense devices. Under a growing load weak pillars crush. When the load exceeds a certain critical value the system fails completely. In this work we explore distributions of such a critical load in overloaded arrays of nanopillars with identically distributed random strength-thresholds (\(\sigma _{th}\)). Applying a Fibre Bundle Model with so-called local load transfer we analyse how statistics of critical load are related to statistics of pillar-strength-thresholds. Based on extensive numerical experiments we show that when the \(\sigma _{th}\) are distributed according to the Weibull distribution, with shape and scale parameters k, and \(\lambda = 1\), respectively, then the critical load can be approximated by the same probability distribution. The corresponding, shape and scale, parameters K and \(\varLambda \) are functions of k.
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Derda, T., DomaĆski, Z. (2019). Statistics of Critical Load in Arrays of Nanopillars on Nonrigid Substrates. In: Ao, SI., Gelman, L., Kim, H. (eds) Transactions on Engineering Technologies. WCE 2017. Springer, Singapore. https://doi.org/10.1007/978-981-13-0746-1_2
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DOI: https://doi.org/10.1007/978-981-13-0746-1_2
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