Rapid Computation of Statistically Stable Particle/Feature Ratios for Consistent Substrate Stresses in Printed Flexible Electronics

Abstract

This paper develops a statistically based computational method to rapidly determine stresses in flexible substrates during particle printing processes. Specifically, substrate stresses due to multiple surface particle contact sites are statistically computed by super posing point load solutions for different random particle realizations (sets of random loading sites) within a fixed feature boundary. The approach allows an analyst to rapidly determine the number of particles in a surf,ace feature needed to produce repeatable sub strate stresses, thus minimizing the deviation from feature to feature and ensuring con sistent production. Three-dimensional examples are provided to illustrate the technique.The utility o f the approach is that an analyst can efficiently ascertain the number of par ticles needed within a feature, without resorting to computationally intensive numerical procedures, such as the finite element method.

Direct Printing and Electrical Characterization of Conductive Micro-Silver Tracks by Alternating Current-Pulse Modulated Electrohydrodynamic Jet Printing

“…Despite its wide applications, the minimum dimension of droplets of traditional acoustic or thermal inkjet printing is limited (10-60 lm in diameter as sphere) [14][15][16]. The final ink spot will be two to four times the droplet dimension in most cases for aqueous ink droplet falling onto substrates [17].…”

On the thermal response of a surface deposited laser-irradiated powder particle

“…We refer the reader to Duran [28], Pö schel and Schwager [29], Onate et al [30][31][32], Rojek et al [33,34], Carbonell et al [35], Labra and Onate [36], Leonardi et al [37], Cante et al [38], Bolintineanu et al [39], Avci and Wriggers [40] and Zohdi [41][42][43][44][45][46][47][48][49][50][51] for more computationallyoriented techniques aligned with manufacturing processes involving particles.…”