A Nonlinear Viscous Model for Sn-Whisker Growth

Fuqian Yang

doi:10.1007/s11661-016-3530-7

A Nonlinear Viscous Model for Sn-Whisker Growth

Fuqian Yang

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Based on the mechanism of the grain boundary fluid flow, a nonlinear viscous model for the growth of Sn-whiskers is proposed. This model consists of two units, one with a stress exponent of one and one with a stress exponent of n⁻¹. By letting one of the constants be zero in the model, the constitutive relationship reduces to a linear flow relation or a power–law relation, representing the flow behavior of various metals. Closed-form solutions for the growth behavior of a whisker are derived, which can be used to predict the whisker growth and the stress evolution.

Original language	English
Pages (from-to)	5882-5889
Number of pages	8
Journal	Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science
Volume	47
Issue number	12
DOIs	https://doi.org/10.1007/s11661-016-3530-7
State	Published - Dec 1 2016

Bibliographical note

Publisher Copyright:
© 2016, The Minerals, Metals & Materials Society and ASM International.

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Metals and Alloys

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10.1007/s11661-016-3530-7

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abstract = "Based on the mechanism of the grain boundary fluid flow, a nonlinear viscous model for the growth of Sn-whiskers is proposed. This model consists of two units, one with a stress exponent of one and one with a stress exponent of n−1. By letting one of the constants be zero in the model, the constitutive relationship reduces to a linear flow relation or a power–law relation, representing the flow behavior of various metals. Closed-form solutions for the growth behavior of a whisker are derived, which can be used to predict the whisker growth and the stress evolution.",

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AB - Based on the mechanism of the grain boundary fluid flow, a nonlinear viscous model for the growth of Sn-whiskers is proposed. This model consists of two units, one with a stress exponent of one and one with a stress exponent of n−1. By letting one of the constants be zero in the model, the constitutive relationship reduces to a linear flow relation or a power–law relation, representing the flow behavior of various metals. Closed-form solutions for the growth behavior of a whisker are derived, which can be used to predict the whisker growth and the stress evolution.

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A Nonlinear Viscous Model for Sn-Whisker Growth

Abstract

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