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Coupled Constitutive Modelling of Ho...

Richards, Melissa Carole.

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Coupled Constitutive Modelling of Homogeneously Deforming Porous Sandstone.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Coupled Constitutive Modelling of Homogeneously Deforming Porous Sandstone./
Author:	Richards, Melissa Carole.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2021,
Description:	180 p.
Notes:	Source: Dissertations Abstracts International, Volume: 83-01, Section: B.
Contained By:	Dissertations Abstracts International83-01B.
Subject:	Mechanical engineering. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28258212
ISBN:	9798516927928

Coupled Constitutive Modelling of Homogeneously Deforming Porous Sandstone.
Richards, Melissa Carole.

Coupled Constitutive Modelling of Homogeneously Deforming Porous Sandstone. - Ann Arbor : ProQuest Dissertations & Theses, 2021 - 180 p.

Source: Dissertations Abstracts International, Volume: 83-01, Section: B.

Thesis (Ph.D.)--Clarkson University, 2021.

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

Accurate field-scale deformation models require use of a constitutive model that is capable of representing material behavior, able to be calibrated using available mechanical response data and is mathematically tractable. Experimentalists report that for high porosity sandstones, accounting for the evolution of the elastic moduli with stress and plastic strain, and elastic-plastic coupling are essential to properly representing deformation response. However, accounting for all three attributes is a complex task; thus, researchers often make simplifying assumptions at the expense of accuracy.By employing hyperplasticity, this study developed an improved elastic constitutive model for high porosity sandstone that incorporates elastic moduli dependence on stress and plastic strain and elastic-plastic coupling. The resulting formulation was calibrated using a true triaxial mechanical data set on Castlegate sandstone.Through systemic curve fitting analyses of stress-strain unloading data during both hydrostatic and deviatoric loading regimes, mathematically tractable expressions for total volume strain and total shear strain were defined. Total strains were partitioned into four elastic components (terms A through D) plus plastic strain. The four elastic strain components are strain due to: A, linear elastic response at constant moduli; B, moduli degradation due to accumulated plastic strain; C, the nonlinear mean stress dependence of the moduli; and, D, the coupled effect of stress and plastic strain, where plastic strain is modified by the nonlinear stress dependence.A discussion of the impact on moduli evolution from different apparent plastic strain predictions due to neglecting the various strain terms, A through D, is presented. The key findings are that for combined hydrostatic and deviatoric loading, including the linear + nonlinear elastic + elastic-plastic coupling terms generates an improved elastic constitutive model and provides a notable improvement in the prediction of plastic volume strain accumulated during hydrostatic loading. During deviatoric loading, the linear + nonlinear elastic + plastic shear strain terms are sufficient to represent accumulated shear strain.The key outcome of this work is a hyperplastic constitutive model and separation partitioning technique that are mathematically tractable and capable of capturing the elastic moduli stress and plastic strain dependences and the elastic-plastic coupling observed of high porosity sandstones.

ISBN: 9798516927928Subjects--Topical Terms:

649730
Mechanical engineering.
Subjects--Index Terms:

Constitutive modeling

Coupled Constitutive Modelling of Homogeneously Deforming Porous Sandstone.
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020 $a 9798516927928
035 $a (MiAaPQ)AAI28258212
035 $a AAI28258212
040 $a MiAaPQ $c MiAaPQ
100 1 $a Richards, Melissa Carole. $3 3561074
245 1 0 $a Coupled Constitutive Modelling of Homogeneously Deforming Porous Sandstone.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2021
300 $a 180 p.
500 $a Source: Dissertations Abstracts International, Volume: 83-01, Section: B.
500 $a Advisor: Issen, Kathleen A.;Ingraham, Mathew D.
502 $a Thesis (Ph.D.)--Clarkson University, 2021.
506 $a This item must not be sold to any third party vendors.
520 $a Accurate field-scale deformation models require use of a constitutive model that is capable of representing material behavior, able to be calibrated using available mechanical response data and is mathematically tractable. Experimentalists report that for high porosity sandstones, accounting for the evolution of the elastic moduli with stress and plastic strain, and elastic-plastic coupling are essential to properly representing deformation response. However, accounting for all three attributes is a complex task; thus, researchers often make simplifying assumptions at the expense of accuracy.By employing hyperplasticity, this study developed an improved elastic constitutive model for high porosity sandstone that incorporates elastic moduli dependence on stress and plastic strain and elastic-plastic coupling. The resulting formulation was calibrated using a true triaxial mechanical data set on Castlegate sandstone.Through systemic curve fitting analyses of stress-strain unloading data during both hydrostatic and deviatoric loading regimes, mathematically tractable expressions for total volume strain and total shear strain were defined. Total strains were partitioned into four elastic components (terms A through D) plus plastic strain. The four elastic strain components are strain due to: A, linear elastic response at constant moduli; B, moduli degradation due to accumulated plastic strain; C, the nonlinear mean stress dependence of the moduli; and, D, the coupled effect of stress and plastic strain, where plastic strain is modified by the nonlinear stress dependence.A discussion of the impact on moduli evolution from different apparent plastic strain predictions due to neglecting the various strain terms, A through D, is presented. The key findings are that for combined hydrostatic and deviatoric loading, including the linear + nonlinear elastic + elastic-plastic coupling terms generates an improved elastic constitutive model and provides a notable improvement in the prediction of plastic volume strain accumulated during hydrostatic loading. During deviatoric loading, the linear + nonlinear elastic + plastic shear strain terms are sufficient to represent accumulated shear strain.The key outcome of this work is a hyperplastic constitutive model and separation partitioning technique that are mathematically tractable and capable of capturing the elastic moduli stress and plastic strain dependences and the elastic-plastic coupling observed of high porosity sandstones.
590 $a School code: 0049.
650 4 $a Mechanical engineering. $3 649730
650 4 $a Geophysics. $3 535228
650 4 $a Theoretical mathematics. $3 3173530
653 $a Constitutive modeling
653 $a Coupled elasticity
653 $a High porosity sandstone
653 $a Hyperplasticity
653 $a Nonlinear elasticity
653 $a Theoretical rock mechanics
690 $a 0548
690 $a 0373
690 $a 0642
690 $a 0467
710 2 $a Clarkson University. $b Mechanical Engineering. $3 2093980
773 0 $t Dissertations Abstracts International $g 83-01B.
790 $a 0049
791 $a Ph.D.
792 $a 2021
793 $a English
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28258212