Jianpeng Zhang , Song Wei , Chao Shang , Yu Duan , Zhaoqiang He , Hua An , Xinge Yu , Zhengchun Peng
{"title":"Modeling and experimental analysis of piezoresistive behavior in conductive porous elastomer under significantly large deformation","authors":"Jianpeng Zhang , Song Wei , Chao Shang , Yu Duan , Zhaoqiang He , Hua An , Xinge Yu , Zhengchun Peng","doi":"10.1016/j.ijengsci.2024.104091","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104091","url":null,"abstract":"<div><p>Piezoresistive porous elastomers (<strong>PPEs</strong>) are gaining attention in the field of flexible electronics due to their unique properties including ultra softness, ultra lightness, and high sensitivity. These properties can be precisely adjusted through advanced material synthesis and micro/nanofabrication technologies that control the size, shape, and composition of the functional nanoparticles. Despite various theoretical models of porous materials developed to advance the design of these materials, issues such as reverse piezoresistive response and resistance overshooting remains to be unsolved. Using principles of elastic mechanics and electrical tunnel effects, the present study introduces an analytical model that considers the effects of multimodal buckling of the pore wall, pore closure, microcracks, and mismatch within the pore wall under large deformation. The proposed model achieves a 99.5 % accuracy rate in describing the piezoresistive response (stress and resistance) under 75 % compression deformation by incorporating electrical tunnel theory into the mechanical model. The study also uncovers the mechanism behind high resistance overshooting and its relevant influences, including factors such as loading speed and application temperature. These findings are expected to drive the development of better porous composites and pave the way for practical applications of PPEs in various fields of smart sensors.</p></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"201 ","pages":"Article 104091"},"PeriodicalIF":6.6,"publicationDate":"2024-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141096002","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}
Dongze He , Weicheng Li , Vahid Vaziri , Sumeet S. Aphale
{"title":"Thermo-electro-mechanical vibration analysis for piezoelectric plates under two-parameter elastic foundation with general boundary conditions","authors":"Dongze He , Weicheng Li , Vahid Vaziri , Sumeet S. Aphale","doi":"10.1016/j.ijengsci.2024.104057","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104057","url":null,"abstract":"<div><p>The thermo-electro-mechanical vibration characteristics of piezoelectric nanoplates using Kirchhoff and Mindlin plate theories under a two-parameter elastic foundation with general boundary conditions are investigated in this article. Utilizing nonlocal elastic theory, the governing equations of the analytical model, which account for external variable influences, are derived using Hamilton’s principle. In the benchmark case, a wave-based method is employed to analyze the vibration characteristics of the piezoelectric nanoplate with general boundary conditions. Additionally, a series of detailed numerical examples are provided to examine the impact of the nonlocal parameter, external electric voltage, temperature change, biaxial force, Winkler’s modulus parameter, and Pasternak’s modulus parameter on the vibration characteristics of the piezoelectric nanoplate restrained on a two-parameter elastic foundation with general boundary conditions. The accuracy of the calculations is verified, and several conclusions are drawn. This paper aims to expand the numerical analytical range of vibration analysis for nanoplate structures and provide theoretical data for the design of nano-electromechanical systems.</p></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"201 ","pages":"Article 104057"},"PeriodicalIF":6.6,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0020722524000417/pdfft?md5=5d5ad74ee60c7bfe38cba3a7b6a5cb7e&pid=1-s2.0-S0020722524000417-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141084317","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}
{"title":"Near-wall flow deconstruction via mapping and polynomial fit","authors":"Vahid Goodarzi Ardakani , Alberto M. Gambaruto","doi":"10.1016/j.ijengsci.2024.104090","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104090","url":null,"abstract":"<div><p>A mapping technique for enhancing the visualisation and analysis of the flow structure in regions near the wall is presented. After identifying a near-wall region of interest, the output of the proposed mapping technique is an analytical expression of the flow variables, satisfying the governing PDEs and boundary conditions, on a stencil of standardised morphology.</p><p>The approach firstly involves selecting a local surface region of interest from the computational domain to be mapped. Subsequently a structured mesh of arbitrary height on top of the cropped surface is generated, thus forming the target volume region, which is termed the <em>physical space</em>. The solution data comprising of flow properties such as velocity and pressure from the computational domain is interpolated onto the physical space. The physical space and the data are consequently mapped onto an unwrapped domain with standard shape, termed the <em>mapped space</em>. For simplicity, the mapped space is chosen here to be a cuboid. Finally, the data is expressed as a best fit polynomial, satisfying the governing PDEs and boundary conditions.</p><p>The method is validated by direct pointwise comparison and from the velocity streamlines mapped from the physical space, for a set of test problems. The mapping technique effectiveness is demonstrated firstly on a 90 degree bend pipe as a benchmark investigation and subsequently on a nasal cavity anatomy. For the latter, three scenarios covering different flow structures in the near-wall region are scrutinised, demonstrating the ability of the techniques proposed to uncover the details of the near-wall flow in complex physiological flows. The regions of interest can be identified using near-wall measures such as wall shear stress, shear lines, and wall shear stress critical points.</p><p>The mapping technique has potential applications in the fields of fluid dynamics and specifically near-wall flows, as the interface region describing the dynamics of exchanges. It is furthermore capable of inferring the velocity field from reduced data available to enhance the use of deep learning or regression methods.</p></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"201 ","pages":"Article 104090"},"PeriodicalIF":6.6,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0020722524000740/pdfft?md5=4f31e7f643b7eccec65b2c5b8d31c7a1&pid=1-s2.0-S0020722524000740-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141078323","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}
{"title":"A homogenization method incorporating surface effect for thin metamaterial structure","authors":"Shuo Li, Li Li","doi":"10.1016/j.ijengsci.2024.104093","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104093","url":null,"abstract":"<div><p>Strong surface elasticity has been only found in nanoscale materials due to their large surface-to-volume ratio. In this paper, at the macroscale, the strong surface elasticity is revealed in thin metamaterial structures. Moreover, the metamaterial structures filled with complex microstructures often need computationally prohibitive resources if the fully-resolved microstructures are modeled using high-fidelity approaches. Based on the revealed surface elasticity, a surface-based efficient yet accurate homogenization method is developed for thin metamaterial structures. This study explores the role that microstructure plays in determining the macroscopic properties of a metamaterial continuum and reveals the occurrence of the size-dependent surface effect that is strictly related to the microstructure configuration. The contribution of surface elasticity to the mechanical properties of thin metamaterial structures cannot be neglected, particularly when the size of microstructures is comparable to their thickness. The coupling effect of intrinsic length determined by microstructure and extrinsic length (the thickness) on surface elasticity is investigated using the homogenization method. The intrinsic length can be calibrated by the size-dependent effective elasticity tensor. The strength of surface elasticity is determined by the intrinsic length with a specific thickness. The contribution of surface elasticity to the effective elasticity tensor can be determined by the difference between intrinsic length and extrinsic length. Finally, a simple yet representative metamaterial truss under tension is used to illustrate the application of the homogenization method. Our findings not only provide mechanical insights into metamaterial structures but also offer a surface-based computational method for metamaterial structures filled with complex microstructures.</p></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"201 ","pages":"Article 104093"},"PeriodicalIF":6.6,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141068773","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}
Mahdi Zeidi , Suprabha Islam , Chul B. Park , Chun Il Kim
{"title":"A pseudoelastic response of hyperelastic composites reinforced with nonlinear elastic fibrous materials: Continuum modeling and analysis","authors":"Mahdi Zeidi , Suprabha Islam , Chul B. Park , Chun Il Kim","doi":"10.1016/j.ijengsci.2024.104092","DOIUrl":"10.1016/j.ijengsci.2024.104092","url":null,"abstract":"<div><p>The present study aims to develop a continuum-based model to predict the pseudoelastic behavior of biological composites subjected to finite plane elastostatics. The proposed model incorporates a hyperelastic matrix material reinforced with nonlinear fibers, addressing challenges such as irreversible softening responses, large deformations, and nonlinear stress–strain responses. The kinematics of reinforcing fibers are formulated via the first and second gradient of continuum deformations and, more importantly, damage function and damage variables of Ogden–Roxburgh and Weibull type are integrated into the model to assimilate the various aspects of damage mechanisms present in soft tissues. Adopting the framework of variational principles and a virtual work statement, the Euler equation and admissible boundary conditions are obtained. The proposed model successfully predicts the Mullins effect observed in the human aorta and the Manduca muscle. Experimental validation with elastomeric composites demonstrates its utility to replicate softening and fiber damage phenomena, including deformation profiles. Further, the proposed molecular dynamics scheme offers an enhanced understanding of polymer chain entanglement processes, thereby facilitating the quantification of permanent damage in elastomeric composites. The obtained results may provide valuable insight toward understanding and modeling the mechanical behavior of soft biological tissues with practical implications for the design and analysis of biofabricated composites aimed at mimicking biological tissues.</p></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"201 ","pages":"Article 104092"},"PeriodicalIF":6.6,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0020722524000764/pdfft?md5=1a3531b5f2ac696ea40059889a47c1d0&pid=1-s2.0-S0020722524000764-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141064231","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}
{"title":"Representing implicit elasticity from a residually stressed reference","authors":"Soumya Mukherjee","doi":"10.1016/j.ijengsci.2024.104079","DOIUrl":"10.1016/j.ijengsci.2024.104079","url":null,"abstract":"<div><p>Implicit elasticity presents the general response of materials without imposing assumptions at the fundamental level. A popular implausible assumption of continuum mechanics is that the reference configuration is stress-free, since residual stress is ubiquitous in Nature. This paper develops large and small deformation implicit elasticity frameworks using residually stressed reference configurations. The general forms of constitutive relations, in finite deformations, are obtained by <em>pull-back</em> or <em>push-forward</em> of all the associated tensors to the same (Eulerian or Lagrangian) configuration. These general forms are used to study the relationship between “residual stress and material symmetry” for implicit elasticity. Further, we use a <em>virtual</em> stress-free body, which is implicit elastic, to exactly determine the response of an initially stressed reference configuration. A number of such exact implicit relations are presented for residually stressed reference configurations, which are further simplified through interesting tensor analysis. The simplified implicit relations directly evaluates strain from a given Cauchy stress and residual stress tensor. One of these constitutive relations are employed for investigating the finite inflation of a residually-stressed, thick sphere. Finally, a small deformation implicit theory is attained by linearizing the developed relations for small strain and small rotation. To represent the small <em>strain</em> from a stressed reference, we need to invert a fourth order tensor. The closed-form inverse is determined in a new approach presented in the paper.</p></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"201 ","pages":"Article 104079"},"PeriodicalIF":6.6,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141064232","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":"Adhesive sliding with a nominal point contact: Postpredictive analysis","authors":"I.I. Argatov , I.A. Lyashenko , V.L. Popov","doi":"10.1016/j.ijengsci.2024.104055","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104055","url":null,"abstract":"<div><p>Quasi-static sliding contact of an axisymmetric convex rigid solid with an adhesive incompressible polymer layer bonded to a rigid base is considered. As generalizations of the state-of-the-art theories of interplay between adhesion and friction, the JKR (Johnson–Kendall–Roberts)-type so-called peeling and sliding models are developed and applied for analyzing a set of experimental data for spherical indenters of various radii, which is available in the literature. A special focus is placed on the acquisition of the model parameters from experimental data in the case of a nominal point contact. The postpredictive analysis of the obtained scaled results indicates the existence of a three-stage adhesive attachment-stick/peeling/sliding periodic instability.</p></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"200 ","pages":"Article 104055"},"PeriodicalIF":6.6,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0020722524000399/pdfft?md5=1dbade3462b5f0ae0f480373f12a710f&pid=1-s2.0-S0020722524000399-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140951643","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}
{"title":"On a class of implicit constitutive relations for nonlinear elastic bodies","authors":"M.H.B.M. Shariff , R. Bustamante","doi":"10.1016/j.ijengsci.2024.104089","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104089","url":null,"abstract":"<div><p>If an elastic body is defined as one that does not dissipate energy into heat, the classes of elastic bodies not only include the Green elastic solid, but also some types of implicit constitutive relations recently presented in the literature. In this paper one of such new implicit relations is studied in detail, wherein the energy function depend on the second Piola–Kirchhoff stress tensor and the Green Saint-Venant strain tensor. It is assumed that the function is anisotropic having two directions of anisotropy, thus the case of a transversely isotropic body and an isotropic body are special cases of the above function. Spectral invariants are used and explicit expressions for some second derivatives of the energy function are found. Such second derivatives appear in the implicit constitutive relation.</p></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"200 ","pages":"Article 104089"},"PeriodicalIF":6.6,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140914535","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":"Does the conventional reciprocal theorem break down in strain gradient elasticity?","authors":"Xiao-Jian Xu , Zi-Chen Deng","doi":"10.1016/j.ijengsci.2024.104076","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104076","url":null,"abstract":"<div><p>The force method and displacement method on the basis of the reciprocal theorem play an important role in the field of structural mechanics and have been successfully applied in structural mechanics. However, it is interestingly found that the unexpected paradox exists when the authors attempt to apply it to problems of deformations of strain gradient beams. The reciprocal relation between higher order stresses and higher order strains within the framework of linear elastic strain gradient elasticity is proposed with a view toward studying the physical nature of this paradoxical phenomenon, and it is then used to prove the updated reciprocal theorem. At the same time, the reciprocal theorem of any gradients of any second-order symmetric stress tensors and their corresponding gradients of displacements are derived according to the proposed reciprocal relation. The results show that the essential reason for the failure of the conventional reciprocal theorem is that the effect of higher order surface forces and surface stresses that are produced by strain gradients contributes to the reciprocal work. When the strain gradients work-conjugating to stress gradients are considered, they satisfy the local reciprocal relation that cannot be degenerated to the conventional reciprocal theorem in the form of body forces and inertial forces. The theory developed in this paper may have an increasingly profound effect on continuum mechanics and is expected to be a helpful tool for the mechanics of cellular structures homogenized by strain gradient elasticity.</p></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"200 ","pages":"Article 104076"},"PeriodicalIF":6.6,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140879171","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":"Radially transverse isotropic inclusions in isotropic elastic media: Local fields, neutral inclusions, effective elastic properties","authors":"S. Kanaun","doi":"10.1016/j.ijengsci.2024.104078","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104078","url":null,"abstract":"<div><p>Radially transverse isotropic inclusions in homogeneous isotropic elastic host media are considered. Mellin transform method is used for solution of the volume integral equation of the problem for an isolated inclusion subjected to a constant external stress (strain) field. The tensor structure of the solution is revealed with precision to three scalar functions of the radial coordinate, and the system of ordinary differential equations for these functions is derived. For multilayered radially transverse isotropic inclusions with constant elastic coefficients inside layers, explicit solution of these equations is obtained. An efficient numerical algorithm of solution for inclusions with an arbitrary number of the layers is proposed. Neutral inclusions that do not disturb homogeneous external fields applied to the medium are considered. It is shown that an inclusion with an isotropic core and radially transverse isotropic external layer can be weak neutral by appropriate choice of the layer elastic constants. The effective field method is used for determination of the effective elastic stiffness tensor of a homogeneous isotropic medium containing a random set of radially transverse isotropic inclusions.</p></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"200 ","pages":"Article 104078"},"PeriodicalIF":6.6,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140879367","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}