Evidence map›Paper›PMID 42513065›Full record

ArticleMicromachines2026

Semi-Theoretical Modeling and Experimental Validation of the Extrusion Swell Ratio of Highly Concentrated Silver Paste in Micro-Extrusion.

Zhijie Huang, Shixiong Wu, Zhichao Yuan, Zeyu Wang, Cuimin Sun, Hui You

Abstract read
In one paragraph

Article in Micromachines, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

6 authors.

Zhijie HuangSchool of Mechanical Engineering, Guangxi University, Nanning 530004, China.
Shixiong WuSchool of Chemistry and Chemical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China.
Zhichao YuanSchool of Mechanical Engineering, Guangxi University, Nanning 530004, China.
Zeyu WangSchool of Mechanical Engineering, Guangxi University, Nanning 530004, China.
Cuimin SunSchool of Computer and Electronic Information Engineering, Guangxi University, Nanning 530004, China.ORCID 0000-0003-4174-1094
Hui YouSchool of Mechanical Engineering, Guangxi University, Nanning 530004, China.ORCID 0000-0002-6821-6188

Funding

Guangxi Natural Science Foundation No. 2025GXNSFBA069278Guangxi Young Elite Scientist Sponsorship Program No. 2025014National Natural Science Foundation of China Grant No. 52565032 and No. 62304057
6 · The paper itself

Abstract

In micro-extrusion and direct ink writing, the nozzle outlet diameter is often used to estimate the deposited line width or free-filament diameter. However, highly loaded conductive silver pastes may exhibit pronounced extrusion swell after leaving the nozzle, resulting in a filament diameter larger than the nozzle inner diameter. To quantify this deviation, this study proposes a single-parameter semi-theoretical correction model based on radial force balance at the nozzle exit, integrating Herschel-Bulkley yield stress-shear-thinning rheology with a finite-deformation description. The exit radial stress is derived from pressure-driven circular tube flow, while the post-exit radial expansion is balanced against atmospheric constraint. A comprehensive correction force constant, C, is introduced to account for wall-induced energy dissipation, particle-structure rearrangement, residual elastic recovery, and model simplifications. After calibration using a transition-swelling nozzle, C was determined as 1.03 × 10

Indexed as

conductive silver pastedirect ink writingextrusion swellfree-filament size estimationHerschel–Bulkley modelmicro-extrusion printingnozzle length

Identifiers

PMID42513065
PMCPMC13414435

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.