Daniel Peck , Gaspare Da Fies , Ivan Virshylo , Gennady Mishuris
{"title":"Peculiarities of hydraulic fracture propagation in media with heterogeneous toughness: The energy balance, elastic battery and fluid backflow","authors":"Daniel Peck , Gaspare Da Fies , Ivan Virshylo , Gennady Mishuris","doi":"10.1016/j.ijengsci.2025.104237","DOIUrl":"10.1016/j.ijengsci.2025.104237","url":null,"abstract":"<div><div>This paper investigates hydraulic fracture in a medium with periodic heterogeneous toughness. Results for the plane-strain (KGD) model are analysed. The energy distribution as the fracture propagates is examined, along with the evolution of the crack geometry. It is shown that the solid layer acts as an elastic battery, discharging to promote rapid propagation through weaker material layers. The limiting case of an infinite-length crack is discussed. The velocity of the fluid throughout the crack length is also considered. For fractures in high-toughness material it is shown that fluid backflow can occur, with its profile dependent on the toughness distribution. The implications of these findings are discussed.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"211 ","pages":"Article 104237"},"PeriodicalIF":5.7,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143583097","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}
Shahriar Dastjerdi , Mohammad Malikan , Masoud Tahani , Mehran Kadkhodayan , Amir Ameli
{"title":"On three-dimensional dynamics of smart rotating micro-disks","authors":"Shahriar Dastjerdi , Mohammad Malikan , Masoud Tahani , Mehran Kadkhodayan , Amir Ameli","doi":"10.1016/j.ijengsci.2025.104236","DOIUrl":"10.1016/j.ijengsci.2025.104236","url":null,"abstract":"<div><div>In this paper, three-dimensional (3D) dynamic analysis of a rotational smart piezomagnetic-flexomagnetic (PFM) multi-functional micro-disk has been investigated. In the mathematical modeling, an attempt has been made to develop a wide range of factors influencing the analyzed structure, which is intended to be used as a micro-sensor/actuator. The investigated smart micro-disk could have many sensitive and accurate applications, especially in the aerospace industry. The geometry is assumed to be an annular microscale structure. Flexomagnetic property, observable on the small scale, has been considered for the material of the analyzed disk, and is one of the principal factors influencing the present research. Due to the angular rotation of the annular micro-disk, it is possible to control the sensing process in delicate conditions, particularly in environments influenced by microgravity. A comprehensive dynamic simulation is performed according to the 3D elasticity, then the governing equations of the smart micro-disk are extracted using the energy method. The effect of several parameters on the numerical results has been thoroughly examined. The deformation results, based on the piezo-flexomagnetic effect of the analyzed structure, have been obtained, enabling the design of precise sensors/actuators for advanced technological applications. The presented theoretical model offers a suitable approach for extending experimental tasks. It should be noted that the equations presented in this paper are original and can serve as a benchmark reference in this field. In conclusion, we found that there is a direct link between the rotational speed of the micro-disk and the surrounding magnetic field, and high angular velocities can impede the influence of the magnetic-induced mechanical load.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"211 ","pages":"Article 104236"},"PeriodicalIF":5.7,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143563129","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}
{"title":"Compliances and resistances of cracks with multiple contacts between faces: An overview","authors":"A. Markov , S. Kanaun , M. Kachanov","doi":"10.1016/j.ijengsci.2025.104235","DOIUrl":"10.1016/j.ijengsci.2025.104235","url":null,"abstract":"<div><div>Partial contacts between faces are common in cracks. They produce strong stiffening effect, even if they are small. The cross-property connection implies that they produce a similar effect on the crack resistivity contributions. These effects lead to a substantial reduction of the “effective” crack density that controls the overall properties. The present work analyzes these issues in a systematic way, as functions of contact distributions. In particular, the effects of contact density and clustering are examined. The paper contains a critical review of the earlier works as well as new results.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"211 ","pages":"Article 104235"},"PeriodicalIF":5.7,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143563301","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}
{"title":"Critical remarks on the paper “Analytical solutions and case studies on stress-dependent corrosion in pressurized spherical vessels” by Liu & Lacidogna (2023)","authors":"Yulia G. Pronina","doi":"10.1016/j.ijengsci.2025.104238","DOIUrl":"10.1016/j.ijengsci.2025.104238","url":null,"abstract":"<div><div>Critical remarks on the paper “Analytical Solutions and Case Studies on Stress-Dependent Corrosion in Pressurized Spherical Vessels” published in <em>Metals</em>, 2023, vol. 13, are given. They concern serious errors in treating the problem, as well as incorrect treatment of works of other authors – in particular, article published in the International Journal of Engineering Science. Due to practical importance of the topic, these errors and inconsistencies need to be exposed.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"211 ","pages":"Article 104238"},"PeriodicalIF":5.7,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143551312","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}
Dmitry A. Petrov , Mikhail Yu. Gutkin , Anna L. Kolesnikova , Alexey E. Romanov
{"title":"Edge dislocation in an elastic sphere","authors":"Dmitry A. Petrov , Mikhail Yu. Gutkin , Anna L. Kolesnikova , Alexey E. Romanov","doi":"10.1016/j.ijengsci.2025.104226","DOIUrl":"10.1016/j.ijengsci.2025.104226","url":null,"abstract":"<div><div>For the first time, an analytical solution is derived for the boundary-value problem in the theory of elasticity for a straight edge dislocation axially piercing an elastic sphere. The solution is given by the sum of the well-known stress fields of the dislocation placed in an infinite elastic medium and the image stress fields caused by the presence of the sphere free surface. To get the second term, a classical method of solving the boundary-value problems in elastic sphere is used. It is based on the Trefftz representation of the displacement vector and implies finding vector and scalar harmonic functions. Here these functions are found and expressed analytically in terms of infinite series with Legendre and associated Legendre polynomials. The results are visualized with stress-field maps in different cross sections of the sphere. It is shown that the free surface significantly changes the stress fields with respect to the infinite case and introduces the following new features: the anti-plane shear stress components, the change of the stress sign near the surface, new singularities at the points where the dislocation crosses the surface. The dislocation strain energy in the system is also provided and discussed in detail.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"210 ","pages":"Article 104226"},"PeriodicalIF":5.7,"publicationDate":"2025-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143454166","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}
{"title":"A variationally-consistent phase-field cohesive zone model for mixed-mode fracture with directional energy decomposition scheme and modified-G criterion","authors":"Pei-Liang Bian , Hai Qing , Siegfried Schmauder , Tiantang Yu","doi":"10.1016/j.ijengsci.2025.104223","DOIUrl":"10.1016/j.ijengsci.2025.104223","url":null,"abstract":"<div><div>Under complex stress-states, mixed-mode fracture is critical to the crack propagation. Additionally, in quasi-brittle materials, the toughness and strength can differ across fracture modes. Therefore, to analyze mixed-mode fracture behaviors under different stress conditions, we developed a new phase-field cohesive zone model (PF-CZM). A directional strain energy decomposition scheme with anisotropic constitution is applied to better describe the mechanical behaviors of damaged materials. A mixed-mode ratio is introduced to describe the relative contribution of mode I and mode II fracture to the crack propagation. Thus, the phase-field governing equation can be still derived by taking variation to the potential energy with respect to the phase-field. The crack orientation for propagation is assumed to be the direction that results in the maximum increase in crack area, which is demonstrated to be consistent with the modified G-criterion. The mode II crack orientation is determined using a deformation gradient-assistant approach. We also propose a new numerical frozen mechanism to take into account the interaction between the existing and incremental crack. Several numerical examples are provided to validate the current PF-CZM. The current study addresses when and how a crack will propagate in complex scenarios and significantly broadens the PFM’s applicability range for mixed-mode fracture, making it suitable for usage with a variety of materials.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"210 ","pages":"Article 104223"},"PeriodicalIF":5.7,"publicationDate":"2025-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143454858","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}
{"title":"Field solution and uniformity condition in heterogeneous materials for linear multi-physical problems","authors":"Wei Ye","doi":"10.1016/j.ijengsci.2025.104227","DOIUrl":"10.1016/j.ijengsci.2025.104227","url":null,"abstract":"<div><div>For linear physical problems of equilibrium or steady-state phenomena in uncoupled and coupled cases, their fundamental equations are essentially similar so they can be treated on an equal footing. This work provides a unified formulation of the field solution in heterogeneous materials for linear multi-physical problems. Based on a modified Eshelby's equivalent inclusion model, the fields in the whole domain of the two-phase heterostructure are expressed by a non-uniform multi-physical Eshelby tensor for the inhomogeneity of a general shape. It is found that uniform fields could be created by applying eigenfields and boundary loads under a uniformity condition, which is also derived by an inverse approach. Furthermore, the uniformity condition for multi-phase heterogeneous materials is also found without restrictions on the constituent geometry and statistical homogeneity. This might be helpful for the design and fabrication of heterogeneous materials that could lead to some novel applications in certain scenarios.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"210 ","pages":"Article 104227"},"PeriodicalIF":5.7,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143436675","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}
{"title":"Spring-membrane models to study Love-type surface wave in smart composite structure: A comparative analysis","authors":"Richa Kumari , Santan Kumar","doi":"10.1016/j.ijengsci.2025.104225","DOIUrl":"10.1016/j.ijengsci.2025.104225","url":null,"abstract":"<div><div>This work delves into modelling and analysis of Love-type (LT) wave propagation in imperfectly bonded piezomagnetic stratum to a piezoelectric substrate under the influence of mass loading (ML) by developing three distinct models, viz. spring interface model (SIM), membrane interface model (MIM) and spring-membrane interface model (SMIM). Each of these models accounts to the presence of interfacial imperfection between stratum-substrate configuration. Variable separable approach is employed to establish dispersion relations corresponding to aforementioned models in view of associated magneto-electric boundary and continuity conditions. The established dispersion relations, when deduced as special case, concur well with the results existing in literature. With aid of numerical computation, effects of affecting parameters, viz. magneto-mechanical and electro-mechanical coupling parameters, spring interface parameters, membrane interface density parameter, mass loading sensitivity and wave number, on phase velocity of LT wave are traced out graphically. The computational results manifest prominent influence of interfacial imperfections on the attributes of propagating wave. A comparative analysis for dispersion curves with and without mass loading and for sensitivity due to mass loading pertaining to considered models is also demonstrated. The outgrowth of this study may be applied in the design of surface acoustic wave devices (SAWD) such as Love wave sensor.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"209 ","pages":"Article 104225"},"PeriodicalIF":5.7,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143422330","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}
{"title":"Addendum to: “Dynamics of incompressible fluids with incompatible distortion rates” [International Journal of Engineering Science 168C (2021)]","authors":"Roger Fosdick , Eliot Fried","doi":"10.1016/j.ijengsci.2024.104162","DOIUrl":"10.1016/j.ijengsci.2024.104162","url":null,"abstract":"<div><div>Fosdick and Fried (2021) proposed a generalized Navier–Stokes theory for studying the dynamics of incompressible fluids which, under certain flow conditions, may support incompatible distortion rates. Herein, we complete the development of a comprehensive boundary condition, at a fixed wall, for the incompatibility tensor <span><math><mi>G</mi></math></span> of that theory; we clarify the physical conditions which express the presence of incompatibility at a wall and, thus, its transmission into the adjacent fluid. The final condition incorporates a constitutively prescribed threshold <span><math><msub><mrow><mi>τ</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> for the magnitude of the shear stress vector <span><math><mi>s</mi></math></span> at the wall. For <span><math><mrow><mrow><mo>|</mo><mi>s</mi><mo>|</mo></mrow><mo><</mo><msub><mrow><mi>τ</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span>, <span><math><mrow><mi>G</mi><mo>=</mo><mi>O</mi></mrow></math></span>. For <span><math><mrow><mrow><mo>|</mo><mi>s</mi><mo>|</mo></mrow><mo>≥</mo><msub><mrow><mi>τ</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span>, <span><math><mrow><mi>G</mi><mo>=</mo><mi>γ</mi><mrow><mo>(</mo><mi>1</mi><mo>−</mo><mi>t</mi><mo>⊗</mo><mi>t</mi><mo>)</mo></mrow><mo>+</mo><msub><mrow><mi>G</mi></mrow><mrow><mi>n</mi><mi>t</mi></mrow></msub><mi>n</mi><mo>⊗</mo><mi>t</mi></mrow></math></span>, where <span><math><mi>γ</mi></math></span> is a material constant, <span><math><mi>t</mi></math></span> and <span><math><mi>n</mi></math></span> are appropriately defined orthonormal tangent vectors to the wall and <span><math><msub><mrow><mi>G</mi></mrow><mrow><mi>n</mi><mi>t</mi></mrow></msub></math></span> is a possibly non-zero component of <span><math><mi>G</mi></math></span> at the wall.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"209 ","pages":"Article 104162"},"PeriodicalIF":5.7,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143402632","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}
{"title":"A configuration-driven nonlocal model for functionally graded lattices","authors":"Shuo Li , Ke Duan , Yonglyu He , Li Li","doi":"10.1016/j.ijengsci.2025.104222","DOIUrl":"10.1016/j.ijengsci.2025.104222","url":null,"abstract":"<div><div>Existing nonlocal models cannot accurately capture the size-dependent mechanical behavior of functionally graded lattices because they assume constant intrinsic length, which oversimplifies the nonlocal effects of varying lattice topology microstructures. In this paper, we unveil that the intrinsic length obeys a gradient law determined by the configuration of the functionally graded lattices. Based on the unveiled gradient law, a configuration-driven nonlocal model is developed to predict the size-dependent mechanical behavior of axially graded lattices. An offline dataset of the intrinsic length is constructed based on the gradient law and the high-throughput simulations. With the help of the offline dataset, the configuration-driven nonlocal model can be used to accurately and efficiently analyze the mechanical behaviors of the functionally graded lattices online. The configuration-driven nonlocal model improves the accuracy of the classic micromechanics homogenization method and reduces the computational cost of the high-resolution finite element method. The developed model not only guides the design of functionally graded lattices but also offers an effective multiscale approach for their performance prediction.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"209 ","pages":"Article 104222"},"PeriodicalIF":5.7,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143378434","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}