International Journal of Engineering Science最新文献

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Initially stressed strain gradient elasticity: A constitutive model incorporates size effects and initial stresses 初始应力应变梯度弹性:包含尺寸效应和初始应力的构成模型
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2024-10-30 DOI: 10.1016/j.ijengsci.2024.104166
Weiting Chen, Xianfu Huang, Quanzi Yuan, Ya-Pu Zhao
{"title":"Initially stressed strain gradient elasticity: A constitutive model incorporates size effects and initial stresses","authors":"Weiting Chen,&nbsp;Xianfu Huang,&nbsp;Quanzi Yuan,&nbsp;Ya-Pu Zhao","doi":"10.1016/j.ijengsci.2024.104166","DOIUrl":"10.1016/j.ijengsci.2024.104166","url":null,"abstract":"<div><div>Unlike ordinary solid materials, underground nano-materials such as kerogen, have relatively small dimensions and suffer from unavoidable in-situ stresses. The coexistence of size effects and initial stresses poses a great challenge to the constitutive modeling of deeply buried nano-inclusions. Despite the theories of strain gradient elasticity (SGE) and initially stressed elasticity (ISE) have been separately developed, the phenomenological model that fully considers the impact of the two ingredients remains unexplored. This paper proposes a strain gradient elasticity constitutive model for kerogen with size effects and in-situ stresses. Based on the decomposition of strains and strain gradients, the initially stressed strain gradient elasticity (ISSGE) framework is established. Then, a new form of the volumetric response function for kerogen is derived utilizing the density and porosity independence of the Poisson ratio. On this basis, we construct the corresponding hyperelastic and higher-order strain energy densities embedded with the given initial stress. The new constitutive model is applied to investigate the spherical pore contraction problem. Theoretical analysis and experimental results indicate that combining the in-situ stress and the size effect strengthens the elastic stiffness. Such enhancement cannot be comprehensively described by the existing theories. The model presented here provides the first constitutive relation of initially stressed strain gradient elasticity and lays the foundation for further incorporating more mechanical behaviors of underground nano-materials.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"205 ","pages":"Article 104166"},"PeriodicalIF":5.7,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142553425","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the effective properties of matrix composites: The role of geometric factors in relation to property contrast 基体复合材料的有效特性:几何因素在性能对比中的作用
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2024-10-21 DOI: 10.1016/j.ijengsci.2024.104156
Andrew Hollett, Mark Kachanov
{"title":"On the effective properties of matrix composites: The role of geometric factors in relation to property contrast","authors":"Andrew Hollett,&nbsp;Mark Kachanov","doi":"10.1016/j.ijengsci.2024.104156","DOIUrl":"10.1016/j.ijengsci.2024.104156","url":null,"abstract":"<div><div>The effective elastic and conductive properties of matrix composites depend on two geometric factors – inhomogeneity shapes and orientation distribution – and on the property contrast between the matrix and inhomogeneities. The roles of the two geometric factors are strongly coupled; both are also coupled with the role of the property contrast. These issues are examined, with particular attention paid to the case of preferential orientation with random scatter.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"205 ","pages":"Article 104156"},"PeriodicalIF":5.7,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142531177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlinear resonance of fractional order viscoelastic PET films under temperature loading 温度加载下分数阶粘弹性 PET 薄膜的非线性共振
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2024-10-18 DOI: 10.1016/j.ijengsci.2024.104153
Qiumin Wu , Chaoyue Lin , Jimei Wu , Mingyue Shao , Jiao Wu , Dingqiang Liu , Jiajuan Qing
{"title":"Nonlinear resonance of fractional order viscoelastic PET films under temperature loading","authors":"Qiumin Wu ,&nbsp;Chaoyue Lin ,&nbsp;Jimei Wu ,&nbsp;Mingyue Shao ,&nbsp;Jiao Wu ,&nbsp;Dingqiang Liu ,&nbsp;Jiajuan Qing","doi":"10.1016/j.ijengsci.2024.104153","DOIUrl":"10.1016/j.ijengsci.2024.104153","url":null,"abstract":"<div><div>The effects of oven temperature during printing on nonlinear vibration for fractional-order PET films are considered in this paper. The effect of temperature, fractional order modelling and some other parameters are analysed with respect to the response of the resonance. Fractional order kelvin-Voigt ontological relationship is used to describe the characteristics of viscoelastic materials. The differential equations for nonlinear vibrations are inferred according to the second law of Newton and the theory of von Karman. Discretization for nonlinear equations on locomotion using the Bubnov–Galerkin method. Forced co-oscillatory amplitude-frequency response equations for thin-films systems under temperature loading were calculated using the multiple scales method. Results of numeral results show that temperature, and fractional-order visco-elastic modelling influence the membrane's response to resonance. These results provide a basis for studying fractional-order visco-elastic films vibrations and identifying regions of stable operation in moving systems to prevent divergent instabilities for flexible electronic device manufacturing.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"205 ","pages":"Article 104153"},"PeriodicalIF":5.7,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142531184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hemodynamics past a dysfunctional bileaflet mechanical heart valve 双叶机械心脏瓣膜功能障碍后的血液动力学
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2024-10-11 DOI: 10.1016/j.ijengsci.2024.104154
A. Chauhan, C. Sasmal
{"title":"Hemodynamics past a dysfunctional bileaflet mechanical heart valve","authors":"A. Chauhan,&nbsp;C. Sasmal","doi":"10.1016/j.ijengsci.2024.104154","DOIUrl":"10.1016/j.ijengsci.2024.104154","url":null,"abstract":"<div><div>A mechanical heart valve, an essential prosthetic for managing valvular heart disease, consists of a metal frame housing two or three leaflets (depending on the design) that control blood flow within the heart. However, leaflet dysfunction can impede their movement, leading to valve defects. This study extensively investigates the hemodynamics of such a bileaflet mechanical heart valve with dysfunctions of various extents with the help of direct numerical simulations (DNS) under both steady inflow and pulsatile flow conditions. The results are presented and discussed in terms of spatial variations of velocity magnitude, Reynolds stresses, and surface and time-averaged clinically important parameters such as wall shear stress (WSS), pressure drop, and blood damage. Under steady inflow conditions, the flow field becomes unsteady and turbulent even at a modest Reynolds number of 750 when the valve has 50% defective conditions, in contrast to a steady and laminar flow for a fully functional heart valve with 0% defect condition. The values of WSS also increase by around 50%, and net pressure drops by more than 200% with these defective conditions, which further increase as the defective condition increases. On the other hand, the same trend is also seen under pulsatile flow conditions, with maximum values of wall shear stress and blood damage seen during the peak systolic stage of the cardiac cycle, increasing by more than 200% as the defect condition increases from 0% to 50% for the latter parameter. Furthermore, the present study also investigates the effect of blood rheological behaviors such as shear-thinning and yield stress on hemodynamics past this dysfunctional heart valve. It is seen that blood rheological behavior has a substantial influence on hemodynamics at low Reynolds numbers, diminishing as the Reynolds number increases. Under pulsatile flow conditions, blood exhibiting non-Newtonian characteristics such as shear-thinning shows higher values of wall shear stress and blood damage values compared to Newtonian ones. Therefore, the present study highlights the importance of accounting for blood rheology in clinical assessments. However, this study simulates the cases where both valve leaflets are fixed in position, thereby excluding fluid–structure interaction (FSI) from the present simulations. Such conditions are representative of common occurrences in dysfunctional heart valves. All in all, the in-depth analysis and information obtained from this study are expected to facilitate early detection of valve leaflet dysfunction, thereby contributing to improved clinical management of patients with valvular heart disease.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"205 ","pages":"Article 104154"},"PeriodicalIF":5.7,"publicationDate":"2024-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142418657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On elastic wave propagation in piezoelectric semiconductors with coupled piezoelectric and semiconductor properties 论具有压电和半导体耦合特性的压电半导体中的弹性波传播
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2024-10-10 DOI: 10.1016/j.ijengsci.2024.104160
Wanli Yang , Lingyun Guo , Songliang Zhang, Yuantai Hu
{"title":"On elastic wave propagation in piezoelectric semiconductors with coupled piezoelectric and semiconductor properties","authors":"Wanli Yang ,&nbsp;Lingyun Guo ,&nbsp;Songliang Zhang,&nbsp;Yuantai Hu","doi":"10.1016/j.ijengsci.2024.104160","DOIUrl":"10.1016/j.ijengsci.2024.104160","url":null,"abstract":"<div><div>Coupling of piezoelectric and semiconducting properties can stimulate a field-particle coupling wave (FPCW) between electric field and charge carriers on an elastic wave-front (EWF) propagating in a piezoelectric semiconductor. The wave velocity of a FPCW is usually greater than the EWF as vibration frequency rises such that carrier behavior on and in front of the EWF will be disturbed in advance. This interaction between two waves can stimulate a few novel dynamic features which are of obvious significance for the research and development of innovative piezoelectric electronic devices. Hence, we firstly established a dynamic model on the propagation processes of elastic waves in piezoelectric semiconductors and developed an alternately iterative algorithm between piezoelectric and semiconducting properties in this paper. Then, the propagation behavior of an elastic wave in an n-type ZnO rod was taken as an example to elucidate the dispersion and dissipation arising from the coupling between electric field and charge carriers. It was found that the action of a FPCW on the EWF can stir up previously undiscovered bizarre features in the following two aspects. One is the energy transfer between different frequency wave components from low-order to high-order vibration modes implemented by the flow of charge carriers, where the transfer process bears a resemblance story to the ‘vacated room’ operation in Hilbert's paradox of the Grand Hotel. The other more intriguing one is that when a tensile/compressive deformation signal is input, an opposite phase signal will be induced at the leading edge of the EWF by the FPCW through the inverse piezoelectric effect, meaning the appearance of a compressive/tensile signal in front of the input tensile/compressive one. The reason to appear such a phenomenon is that the electric field phase of the FPCW is precisely opposite to the one on the corresponding EWF. Evidently, the present studies will advance the integration and development of elastic dynamics and semiconductor physics, thereby providing valuable guidance for the research and development of new electronic devices.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"205 ","pages":"Article 104160"},"PeriodicalIF":5.7,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142418653","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analytical solutions for thermoelastic stress-focusing in cylindrical and spherical solids 圆柱形和球形固体热弹性应力聚焦的解析解
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2024-10-10 DOI: 10.1016/j.ijengsci.2024.104157
Suman Dutta, C.S. Jog
{"title":"Analytical solutions for thermoelastic stress-focusing in cylindrical and spherical solids","authors":"Suman Dutta,&nbsp;C.S. Jog","doi":"10.1016/j.ijengsci.2024.104157","DOIUrl":"10.1016/j.ijengsci.2024.104157","url":null,"abstract":"<div><div>This work deals with finding the analytical displacements and stresses in thermoelasticity problems involving solid isotropic cylinders and spheres with an emphasis on stress-focusing phenomena relevant to the nuclear industry and high-temperature engineering. The study considers solid spheres and infinitely long solid cylinders with three different types of thermal loading: prescribed outer surface temperature, prescribed surface heat flux, and volumetric heat source. Both continuous and discontinuous thermal loading conditions are considered. It is shown that discontinuous loading, such as abrupt changes in prescribed surface temperature or heat flux prescriptions, results in unbounded stresses along the axis (in the case of an infinite cylinder) and the center (in the case of a solid sphere), while with continuous loading, we obtain finite stresses within the domains at all times.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"205 ","pages":"Article 104157"},"PeriodicalIF":5.7,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142418654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mesoscale models for effective elastic properties of carbon-black/ultra-high-molecular-weight-polyethylene nanocomposites 碳黑/超高分子量聚乙烯纳米复合材料有效弹性性能的中尺度模型
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2024-10-08 DOI: 10.1016/j.ijengsci.2024.104159
Stanislav Buklovskiy , Kateryna Miroshnichenko , Igor Tsukrov , Rebecca J. Thomson , Peder C. Solberg , Douglas W. Van Citters
{"title":"Mesoscale models for effective elastic properties of carbon-black/ultra-high-molecular-weight-polyethylene nanocomposites","authors":"Stanislav Buklovskiy ,&nbsp;Kateryna Miroshnichenko ,&nbsp;Igor Tsukrov ,&nbsp;Rebecca J. Thomson ,&nbsp;Peder C. Solberg ,&nbsp;Douglas W. Van Citters","doi":"10.1016/j.ijengsci.2024.104159","DOIUrl":"10.1016/j.ijengsci.2024.104159","url":null,"abstract":"<div><div>In this paper, we apply mesoscale numerical modeling to predict the effective elastic properties of conductive carbon-black/ultra-high-molecular-weight-polyethylene nanocomposites. The models are based on X-ray microcomputed tomography images. The images show that for the considered range of carbon additive weight fractions, the conductive carbon black (CB) particles are distributed around the ultra-high-molecular-weight-polyethylene (UHMWPE) granules forming a carbon-containing layer of a thickness on the order of 1–2 <span><math><mrow><mi>μ</mi><mi>m</mi></mrow></math></span>.</div><div>Finite element models of representative volume elements (RVE), incorporating the CB-containing layer, are developed. The RVEs are generated based on the size and shape statistics extracted from processed microcomputed tomography images with further incorporation of the CB-containing layer by a custom image processing code. The layer is modeled analytically as a 2-phase composite consisting of spherical CB inclusions distributed in the UHMWPE matrix. Elastic moduli predicted in the models are compared to experimental data. Results show that the numerical simulations predict effective elastic moduli within the confidence intervals of the experimental measurements up to 7.5 wt % of CB inclusions.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"205 ","pages":"Article 104159"},"PeriodicalIF":5.7,"publicationDate":"2024-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142418652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the refined boundary condition at the edge of a thin elastic strip supported by a Winkler-type foundation under antiplane shear deformation 关于反平面剪切变形下由温克勒型地基支撑的弹性薄带边缘的细化边界条件
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2024-10-05 DOI: 10.1016/j.ijengsci.2024.104152
Ludmila Prikazchikova , Evgeniya Nolde , Wiktoria Miszuris , Julius Kaplunov
{"title":"On the refined boundary condition at the edge of a thin elastic strip supported by a Winkler-type foundation under antiplane shear deformation","authors":"Ludmila Prikazchikova ,&nbsp;Evgeniya Nolde ,&nbsp;Wiktoria Miszuris ,&nbsp;Julius Kaplunov","doi":"10.1016/j.ijengsci.2024.104152","DOIUrl":"10.1016/j.ijengsci.2024.104152","url":null,"abstract":"<div><div>The derivation of the boundary conditions is the most challenging part of the asymptotic techniques underlying low-dimensional models for thin elastic structures. At the moment, these techniques do not take into consideration the effect of the environment, e.g., a Winkler foundation, when tackling boundary conditions, and have to be amended. In this paper as an example we consider an antiplane problem for a thin elastic strip contacting with a relatively compliant Winkler foundation. Refined boundary conditions at an edge loaded by prescribed stresses are established using a properly adjusted Saint-Venant’s principle. They appear to be useful for advanced structure modelling including analysis of the static equilibrium under self-equilibrated loading.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"205 ","pages":"Article 104152"},"PeriodicalIF":5.7,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142418648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effects of interfacial sliding on anti-plane waves in an elastic plate imperfectly attached to an elastic half-space 界面滑动对不完全附着于弹性半空间的弹性板中反面波的影响
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2024-10-05 DOI: 10.1016/j.ijengsci.2024.104158
Gennadi I. Mikhasev , Victor A. Eremeyev
{"title":"Effects of interfacial sliding on anti-plane waves in an elastic plate imperfectly attached to an elastic half-space","authors":"Gennadi I. Mikhasev ,&nbsp;Victor A. Eremeyev","doi":"10.1016/j.ijengsci.2024.104158","DOIUrl":"10.1016/j.ijengsci.2024.104158","url":null,"abstract":"<div><div>We study the anti-plane shear waves in a domain consisting of an elastic layer (plate) with a coating attached to an elastic half-space (substrate). We assume an imperfect contact between the layer and the half-space, allowing some sliding. We also assume some elastic bonds between the layer and the substrate. On the free top surface we apply the compatibility conditions within the Gurtin–Murdoch surface elasticity. We found two different solutions: (i) the transversely exponential–transversely exponential (TE–TE) regime with amplitudes decaying exponentially from the free top surface and the interface in both the plate and the half-space, and (ii) the transversely harmonic–transversely exponential (TH–TE) regime with harmonic wave behaviour in the transverse direction in the plate and exponential decay in the half-space. The TE regime of anti-plane waves in an elastic half-space with non-perfect contact is also considered as a special case. A detailed analysis of the derived dispersion relations reveals a crucial influence of the interface stiffness on the phase velocities of anti-plane waves. This effect consists in the decrease of the phase velocities when the interfacial bonds are weakened. The strongest effect of the interfacial sliding on the phase velocities was observed for the long-length waves belonging to the TE–TE regime. Based on the derived lower bounds for the wave numbers from which the TE–TE regime of anti-plane waves exists, we have developed the theoretical background and methodology for assessing the bond stiffness of thin plates imperfectly bonded to an elastic substrate.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"205 ","pages":"Article 104158"},"PeriodicalIF":5.7,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142418649","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The energy balance of a hydraulic fracture at depth 深层水力压裂的能量平衡
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2024-09-28 DOI: 10.1016/j.ijengsci.2024.104151
Carlo Peruzzo, Andreas Möri, Brice Lecampion
{"title":"The energy balance of a hydraulic fracture at depth","authors":"Carlo Peruzzo,&nbsp;Andreas Möri,&nbsp;Brice Lecampion","doi":"10.1016/j.ijengsci.2024.104151","DOIUrl":"10.1016/j.ijengsci.2024.104151","url":null,"abstract":"<div><div>We detail the energy balance of a propagating hydraulic fracture. Using the linear hydraulic fracture model which combines lubrication flow and linear elastic fracture mechanics, we demonstrate how different propagation regimes are related to the dominance of a given term of the power balance of a growing hydraulic fracture. Taking an energy point of view allows us to offer a physical explanation of hydraulic fracture growth behaviours, such as, for example, the transition from viscosity to toughness dominated growth for a radial geometry, fracture propagation after the end of the injection or transition to self-buoyant elongated growth. We quantify the evolution of the different power terms for a series of numerical examples. We also discuss the order of magnitudes of the different terms for a industrial-like hydraulic fracturing treatment accounting for the additional dissipation in the injection line.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"205 ","pages":"Article 104151"},"PeriodicalIF":5.7,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142330003","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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