横向各向同性对层状盐在约束压力下蠕变行为的影响

IF 2.1 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING
Kanya Kraipru, Kittitep Fuenkajorn, Thanittha Thongprapha
{"title":"横向各向同性对层状盐在约束压力下蠕变行为的影响","authors":"Kanya Kraipru,&nbsp;Kittitep Fuenkajorn,&nbsp;Thanittha Thongprapha","doi":"10.1007/s11043-024-09695-3","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we investigate the role of transverse isotropy on the creep behavior of bedded salt. We conducted a series of triaxial creep tests on prismatic specimens subjected to confining pressures (<span>\\(\\sigma _{3}\\)</span>) of up to 24 MPa and a constant octahedral shear stress (<span>\\(\\tau _{\\mathrm{o}}\\)</span>) of 9 MPa. The specimens were oriented with their bedding planes at various angles (<span>\\(\\beta \\)</span>) to the major principal axis to simulate transverse isotropic conditions. Our findings reveal that both instantaneous and creep deformations are most significant when <span>\\(\\beta = 0^{\\circ }\\)</span>, decreasing progressively to a minimum at <span>\\(\\beta = 90^{\\circ }\\)</span> across all confining pressures. The discrepancy in deformations between these intrinsic angles narrows with increasing <span>\\(\\sigma _{3}\\)</span>. Creep deformations for intermediate angles (<span>\\(0^{\\circ} &lt; \\beta &lt; 90^{\\circ }\\)</span>) follow the elliptical equations. Utilizing the Burgers creep model, we observed that the instantaneous, viscoelastic moduli, and viscoplastic coefficients escalate with <span>\\(\\beta \\)</span>. The degree of anisotropy declines sharply as confining pressures increase, reaching an isotropic state under <span>\\(\\tau _{\\mathrm{o}} = 9\\text{ MPa}\\)</span> and <span>\\(\\sigma _{3}\\)</span> around 40 MPa, beyond which transient creep ceases, indicating a transition to Maxwell-material behavior. Employing linear viscoelastic theory, we derived an equation for time-dependent deformation under varying octahedral shear stresses. This enables the formulation of governing equations for Burgers-model parameters, considering bedding plane orientations, loading durations, and the interactions between shear and confining stresses.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 4","pages":"2879 - 2897"},"PeriodicalIF":2.1000,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The effect of transverse isotropy on the creep behavior of bedded salt under confining pressures\",\"authors\":\"Kanya Kraipru,&nbsp;Kittitep Fuenkajorn,&nbsp;Thanittha Thongprapha\",\"doi\":\"10.1007/s11043-024-09695-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we investigate the role of transverse isotropy on the creep behavior of bedded salt. We conducted a series of triaxial creep tests on prismatic specimens subjected to confining pressures (<span>\\\\(\\\\sigma _{3}\\\\)</span>) of up to 24 MPa and a constant octahedral shear stress (<span>\\\\(\\\\tau _{\\\\mathrm{o}}\\\\)</span>) of 9 MPa. The specimens were oriented with their bedding planes at various angles (<span>\\\\(\\\\beta \\\\)</span>) to the major principal axis to simulate transverse isotropic conditions. Our findings reveal that both instantaneous and creep deformations are most significant when <span>\\\\(\\\\beta = 0^{\\\\circ }\\\\)</span>, decreasing progressively to a minimum at <span>\\\\(\\\\beta = 90^{\\\\circ }\\\\)</span> across all confining pressures. The discrepancy in deformations between these intrinsic angles narrows with increasing <span>\\\\(\\\\sigma _{3}\\\\)</span>. Creep deformations for intermediate angles (<span>\\\\(0^{\\\\circ} &lt; \\\\beta &lt; 90^{\\\\circ }\\\\)</span>) follow the elliptical equations. Utilizing the Burgers creep model, we observed that the instantaneous, viscoelastic moduli, and viscoplastic coefficients escalate with <span>\\\\(\\\\beta \\\\)</span>. The degree of anisotropy declines sharply as confining pressures increase, reaching an isotropic state under <span>\\\\(\\\\tau _{\\\\mathrm{o}} = 9\\\\text{ MPa}\\\\)</span> and <span>\\\\(\\\\sigma _{3}\\\\)</span> around 40 MPa, beyond which transient creep ceases, indicating a transition to Maxwell-material behavior. Employing linear viscoelastic theory, we derived an equation for time-dependent deformation under varying octahedral shear stresses. This enables the formulation of governing equations for Burgers-model parameters, considering bedding plane orientations, loading durations, and the interactions between shear and confining stresses.</p></div>\",\"PeriodicalId\":698,\"journal\":{\"name\":\"Mechanics of Time-Dependent Materials\",\"volume\":\"28 4\",\"pages\":\"2879 - 2897\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2024-04-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics of Time-Dependent Materials\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11043-024-09695-3\",\"RegionNum\":4,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, CHARACTERIZATION & TESTING\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Time-Dependent Materials","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1007/s11043-024-09695-3","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
引用次数: 0

摘要

本文研究了横向各向同性对盐层蠕变行为的影响。我们对棱柱体试样进行了一系列三轴蠕变试验,试样承受的约束压力(\(\sigma _{3}\))高达24兆帕,八面体恒定剪应力(\(\tau _{/mathrm{o}}\)为9兆帕。为模拟横向各向同性条件,试样的基底面与主要主轴成不同角度(\(\beta \))。我们的研究结果表明,当 \(\beta = 0^{\circ }\ 时,瞬时变形和蠕变变形都是最显著的,在所有约束压力下,当 \(\beta = 90^{\circ }\ 时逐渐减小到最小。这些固有角度之间的变形差异随着 \(\sigma _{3}\) 的增加而缩小。中间角度(0^{\circ} < \beta < 90^{\circ })的蠕变变形遵循椭圆方程。利用布尔格斯蠕变模型,我们观察到瞬时系数、粘弹性模量和粘塑性系数随着 \(\beta \) 的增大而增大。随着约束压力的增加,各向异性程度急剧下降,在\(\tau _{\mathrm{o}} = 9\text{ MPa}\) 和 \(\sigma _{3}\) 40 MPa 左右达到各向同性状态,超过该状态后瞬态蠕变停止,表明向麦克斯韦材料行为过渡。利用线性粘弹性理论,我们推导出了在变化的八面体剪切应力作用下随时间变化的变形方程。这使得我们能够在考虑了垫层平面方向、加载持续时间以及剪应力和约束应力之间的相互作用的情况下,制定布尔格斯模型参数的控制方程。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

The effect of transverse isotropy on the creep behavior of bedded salt under confining pressures

The effect of transverse isotropy on the creep behavior of bedded salt under confining pressures

The effect of transverse isotropy on the creep behavior of bedded salt under confining pressures

In this paper, we investigate the role of transverse isotropy on the creep behavior of bedded salt. We conducted a series of triaxial creep tests on prismatic specimens subjected to confining pressures (\(\sigma _{3}\)) of up to 24 MPa and a constant octahedral shear stress (\(\tau _{\mathrm{o}}\)) of 9 MPa. The specimens were oriented with their bedding planes at various angles (\(\beta \)) to the major principal axis to simulate transverse isotropic conditions. Our findings reveal that both instantaneous and creep deformations are most significant when \(\beta = 0^{\circ }\), decreasing progressively to a minimum at \(\beta = 90^{\circ }\) across all confining pressures. The discrepancy in deformations between these intrinsic angles narrows with increasing \(\sigma _{3}\). Creep deformations for intermediate angles (\(0^{\circ} < \beta < 90^{\circ }\)) follow the elliptical equations. Utilizing the Burgers creep model, we observed that the instantaneous, viscoelastic moduli, and viscoplastic coefficients escalate with \(\beta \). The degree of anisotropy declines sharply as confining pressures increase, reaching an isotropic state under \(\tau _{\mathrm{o}} = 9\text{ MPa}\) and \(\sigma _{3}\) around 40 MPa, beyond which transient creep ceases, indicating a transition to Maxwell-material behavior. Employing linear viscoelastic theory, we derived an equation for time-dependent deformation under varying octahedral shear stresses. This enables the formulation of governing equations for Burgers-model parameters, considering bedding plane orientations, loading durations, and the interactions between shear and confining stresses.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Mechanics of Time-Dependent Materials
Mechanics of Time-Dependent Materials 工程技术-材料科学:表征与测试
CiteScore
4.90
自引率
8.00%
发文量
47
审稿时长
>12 weeks
期刊介绍: Mechanics of Time-Dependent Materials accepts contributions dealing with the time-dependent mechanical properties of solid polymers, metals, ceramics, concrete, wood, or their composites. It is recognized that certain materials can be in the melt state as function of temperature and/or pressure. Contributions concerned with fundamental issues relating to processing and melt-to-solid transition behaviour are welcome, as are contributions addressing time-dependent failure and fracture phenomena. Manuscripts addressing environmental issues will be considered if they relate to time-dependent mechanical properties. The journal promotes the transfer of knowledge between various disciplines that deal with the properties of time-dependent solid materials but approach these from different angles. Among these disciplines are: Mechanical Engineering, Aerospace Engineering, Chemical Engineering, Rheology, Materials Science, Polymer Physics, Design, and others.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信