Different Conservation Laws Constructed on Warpage Analyses for Bimaterial Plates With Temperature-Dependent PropertiesSource: Journal of Electronic Packaging:;2011:;volume( 133 ):;issue: 004::page 41006Author:Chih-Sung Chen
DOI: 10.1115/1.4005293Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Polymeric material has been applied in electronic product extensively, especially for packaging applications, thus thermomechanical analyses for encapsulated structure are frequently encountered. However, modulus and thermally induced strain of polymeric material are not constant, but time- and temperature-dependence. For simplification of the stress constitutive models, particularly for applications on electronic packaging can be found in literature, the time-dependent behavior could be neglected. Otherwise, the property only considered as a function of temperature can achieve time saving and cost down, but to the best of the author’s knowledge, the thermomechanical analysis based on different conservation laws so far has not been studied indeed. Most of the relative studies published in literature are in strain conservation law, and recently strain–stress conservation law was formulated, so-called force-displacement incremental solution. This study has developed a stress-based conservation law regardless of derived strain and strain–stress based conservation laws for stress constitutive models applied in thermomechanical analysis; meanwhile, incorporated cross-link induced residual strain from polymer forming. Furthermore, the nonincrement approach is implemented by a concept of force and moment equilibrium on the flexural stiffness of final stage, and derived for efficiency enhancing. On the other hand, analytical solutions based on different conservation laws for bimaterial plate were utilized to compare with experimental measurements. The results indicate that warpage analysis based on stress conservation law with temperature-dependent property can be more realistically predicted over a range of temperature, whereas a large error can be caused by using approximated CTE or nonconsidering residual strain, especially for temperature above Tg .
keyword(s): Temperature , Stress , Warping AND Force ,
|
Collections
Show full item record
contributor author | Chih-Sung Chen | |
date accessioned | 2017-05-09T00:43:06Z | |
date available | 2017-05-09T00:43:06Z | |
date copyright | December, 2011 | |
date issued | 2011 | |
identifier issn | 1528-9044 | |
identifier other | JEPAE4-26319#041006_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/145768 | |
description abstract | Polymeric material has been applied in electronic product extensively, especially for packaging applications, thus thermomechanical analyses for encapsulated structure are frequently encountered. However, modulus and thermally induced strain of polymeric material are not constant, but time- and temperature-dependence. For simplification of the stress constitutive models, particularly for applications on electronic packaging can be found in literature, the time-dependent behavior could be neglected. Otherwise, the property only considered as a function of temperature can achieve time saving and cost down, but to the best of the author’s knowledge, the thermomechanical analysis based on different conservation laws so far has not been studied indeed. Most of the relative studies published in literature are in strain conservation law, and recently strain–stress conservation law was formulated, so-called force-displacement incremental solution. This study has developed a stress-based conservation law regardless of derived strain and strain–stress based conservation laws for stress constitutive models applied in thermomechanical analysis; meanwhile, incorporated cross-link induced residual strain from polymer forming. Furthermore, the nonincrement approach is implemented by a concept of force and moment equilibrium on the flexural stiffness of final stage, and derived for efficiency enhancing. On the other hand, analytical solutions based on different conservation laws for bimaterial plate were utilized to compare with experimental measurements. The results indicate that warpage analysis based on stress conservation law with temperature-dependent property can be more realistically predicted over a range of temperature, whereas a large error can be caused by using approximated CTE or nonconsidering residual strain, especially for temperature above Tg . | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Different Conservation Laws Constructed on Warpage Analyses for Bimaterial Plates With Temperature-Dependent Properties | |
type | Journal Paper | |
journal volume | 133 | |
journal issue | 4 | |
journal title | Journal of Electronic Packaging | |
identifier doi | 10.1115/1.4005293 | |
journal fristpage | 41006 | |
identifier eissn | 1043-7398 | |
keywords | Temperature | |
keywords | Stress | |
keywords | Warping AND Force | |
tree | Journal of Electronic Packaging:;2011:;volume( 133 ):;issue: 004 | |
contenttype | Fulltext |