Adaptive stochastic finite element procedure of electronic packaging problems using disturbed state concept

Persistent Link:
http://hdl.handle.net/10150/282373
Title:
Adaptive stochastic finite element procedure of electronic packaging problems using disturbed state concept
Author:
Zhang, Wu
Issue Date:
1997
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
Complex engineering problems need appropriate constitutive laws such as Disturbed State Concept (DSC), as well as robust accurate computational analysis methods such as adaptive and stochastic finite element methods (FEM). DSC provides a unified basis for constitutive modeling including elastic, plastic and creep deformations, microcracking, damage and softening, stiffening, and cyclic fatigue under thermomechanical loading. It includes intrinsical regularization, localization, characteristic dimension and avoidance of spurious mesh dependence. It also leads to new procedures for adaptive FEM and stochastic FEM. Adaptive FEM is a method to adapt or guide itself to better subsequent computation by use of previous computational information so as to achieve prescribed accuracy. It's a powerful procedure for analyzing deformation of special problems such as interfaces and joints and shear bands, and complex materials with both hardening and softening. An adaptive finite element procedure with combined Disturbance-Hybrid stress error estimator/remeshing indicator is proposed and tested by comparing with some published results, and the corresponding user-interactive unified DSC finite element program with more than 10 options is developed and applied to thermal analysis of electronic packaging problems. Unlike deterministic analysis methods, stochastic FEM approach further considers the random variations of involved parameters to further make the deterministic constitutive and numerical modeling more realistic in a statistical manner. Traditional stochastic FEM is reviewed and a new efficient DSC stochastic FEM is formulated for reliability analysis of electronic packaging problems. The computer visualization and animation are applied to display the computed results for the purpose of easier use and interpretation of the results, which will be one of major trends for engineering application of computational methods. In this dissertation, combined study is carried out from a comprehensive (computational and constitutive) viewpoint, and the practical and academic values of the adaptive and stochastic DSC finite element procedures for electronic packaging problems will be demonstrated.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Applied Mechanics.; Engineering, Civil.; Engineering, Electronics and Electrical.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Civil Engineering and Engineering Mechanics
Degree Grantor:
University of Arizona
Advisor:
Desai, C. S.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleAdaptive stochastic finite element procedure of electronic packaging problems using disturbed state concepten_US
dc.creatorZhang, Wuen_US
dc.contributor.authorZhang, Wuen_US
dc.date.issued1997en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractComplex engineering problems need appropriate constitutive laws such as Disturbed State Concept (DSC), as well as robust accurate computational analysis methods such as adaptive and stochastic finite element methods (FEM). DSC provides a unified basis for constitutive modeling including elastic, plastic and creep deformations, microcracking, damage and softening, stiffening, and cyclic fatigue under thermomechanical loading. It includes intrinsical regularization, localization, characteristic dimension and avoidance of spurious mesh dependence. It also leads to new procedures for adaptive FEM and stochastic FEM. Adaptive FEM is a method to adapt or guide itself to better subsequent computation by use of previous computational information so as to achieve prescribed accuracy. It's a powerful procedure for analyzing deformation of special problems such as interfaces and joints and shear bands, and complex materials with both hardening and softening. An adaptive finite element procedure with combined Disturbance-Hybrid stress error estimator/remeshing indicator is proposed and tested by comparing with some published results, and the corresponding user-interactive unified DSC finite element program with more than 10 options is developed and applied to thermal analysis of electronic packaging problems. Unlike deterministic analysis methods, stochastic FEM approach further considers the random variations of involved parameters to further make the deterministic constitutive and numerical modeling more realistic in a statistical manner. Traditional stochastic FEM is reviewed and a new efficient DSC stochastic FEM is formulated for reliability analysis of electronic packaging problems. The computer visualization and animation are applied to display the computed results for the purpose of easier use and interpretation of the results, which will be one of major trends for engineering application of computational methods. In this dissertation, combined study is carried out from a comprehensive (computational and constitutive) viewpoint, and the practical and academic values of the adaptive and stochastic DSC finite element procedures for electronic packaging problems will be demonstrated.en_US
dc.description.noteDigitization note: p. 33 and p. 111 are missing from paper original; appears to be pagination errors rather than missing content.en
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectApplied Mechanics.en_US
dc.subjectEngineering, Civil.en_US
dc.subjectEngineering, Electronics and Electrical.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineCivil Engineering and Engineering Mechanicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorDesai, C. S.en_US
dc.identifier.proquest9738948en_US
dc.identifier.bibrecord.b37467451en_US
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