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Capturing Rate-Dependent Shear Local...

Margraf, Jonathan David.

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Capturing Rate-Dependent Shear Localization Using a Traction Balance Mixed Zone Closure Model and a Shear Band Insertion Mechanism.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Capturing Rate-Dependent Shear Localization Using a Traction Balance Mixed Zone Closure Model and a Shear Band Insertion Mechanism./
作者:	Margraf, Jonathan David.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2019,
面頁冊數:	148 p.
附註:	Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Contained By:	Dissertations Abstracts International81-04B.
標題:	Materials science. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=13811660
ISBN:	9781085794725

Capturing Rate-Dependent Shear Localization Using a Traction Balance Mixed Zone Closure Model and a Shear Band Insertion Mechanism.
Margraf, Jonathan David.

Capturing Rate-Dependent Shear Localization Using a Traction Balance Mixed Zone Closure Model and a Shear Band Insertion Mechanism. - Ann Arbor : ProQuest Dissertations & Theses, 2019 - 148 p.

Source: Dissertations Abstracts International, Volume: 81-04, Section: B.

Thesis (Ph.D.)--University of California, Davis, 2019.

This item must not be sold to any third party vendors.

True stress equilibrium between distinct materials cohabiting a single finite element has been achieved through an iterative traction balance algorithm. Legacy mixed zone mechanisms control the material evolution through partitioning of the material strain increments to satisfy various definitions of consistency between component materials through a time step. These traditional methods typically disregard the material interface, therefore could suffer in accuracy when material strength is of significance. In such cases the behavioral response is better captured by instead requiring a balance of forces across a material interface by means of equilibrating the respective traction vectors. The proposed method has universal material applicability, in that it is compatible with all forms of material models. Current methodology, however, limits the number of associated zonal materials to two; a restriction that could certainly be lifted in future adaptations.Improved modeling capabilities for materials known to exhibit shear banding failure modes, characterized by highly localized layers of unstable accumulation of strain, is a strong motivator for the iterative traction balance solver. As an alternative to mesh resolving such band behavior, a coarser mesh integrated with mixed zones containing the developing high strain material as a sub-region is proposed. The traction balance methodology will solve the appropriate compatibility and stress equilibrium conditions between the weaker shear band and the bulk material within the element. The local high-strain response will thus have an effect on the macroscopic behavior of the zone without the need to fully discretize the shear band.Paramount to capturing the onset of a shear band, the code must be able to detect elements that are approaching the inception conditions for the formation of a shear band, and then predict the birth of these bands without the mesh having fully resolved them. To accommodate this task, a novel shear band insertion tool has been developed to analyze the field data of local elements and assess the likelihood and orientation of a shear band. If certain prerequisites are met, the shear band is embedded into an element, thus creating a mixed environment in a zone that would otherwise be pure material.With the insertion criterion and traction balance requirement working harmoniously, the end goal of this work is to mitigate the mesh dependent nature of predicting and capturing the onset and development of shear localization within the general finite element framework.

ISBN: 9781085794725Subjects--Topical Terms:

543314
Materials science.
Subjects--Index Terms:

Finite element method

Capturing Rate-Dependent Shear Localization Using a Traction Balance Mixed Zone Closure Model and a Shear Band Insertion Mechanism.
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520 $a True stress equilibrium between distinct materials cohabiting a single finite element has been achieved through an iterative traction balance algorithm. Legacy mixed zone mechanisms control the material evolution through partitioning of the material strain increments to satisfy various definitions of consistency between component materials through a time step. These traditional methods typically disregard the material interface, therefore could suffer in accuracy when material strength is of significance. In such cases the behavioral response is better captured by instead requiring a balance of forces across a material interface by means of equilibrating the respective traction vectors. The proposed method has universal material applicability, in that it is compatible with all forms of material models. Current methodology, however, limits the number of associated zonal materials to two; a restriction that could certainly be lifted in future adaptations.Improved modeling capabilities for materials known to exhibit shear banding failure modes, characterized by highly localized layers of unstable accumulation of strain, is a strong motivator for the iterative traction balance solver. As an alternative to mesh resolving such band behavior, a coarser mesh integrated with mixed zones containing the developing high strain material as a sub-region is proposed. The traction balance methodology will solve the appropriate compatibility and stress equilibrium conditions between the weaker shear band and the bulk material within the element. The local high-strain response will thus have an effect on the macroscopic behavior of the zone without the need to fully discretize the shear band.Paramount to capturing the onset of a shear band, the code must be able to detect elements that are approaching the inception conditions for the formation of a shear band, and then predict the birth of these bands without the mesh having fully resolved them. To accommodate this task, a novel shear band insertion tool has been developed to analyze the field data of local elements and assess the likelihood and orientation of a shear band. If certain prerequisites are met, the shear band is embedded into an element, thus creating a mixed environment in a zone that would otherwise be pure material.With the insertion criterion and traction balance requirement working harmoniously, the end goal of this work is to mitigate the mesh dependent nature of predicting and capturing the onset and development of shear localization within the general finite element framework.
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