Pub Date : 2024-12-25DOI: 10.1016/j.ijengsci.2024.104199
Xue Zhao, Zhengcheng Zhou, Yichao Zhu
Most plate models in use are hypothesis-based, which struggle to resolve the internal stress distribution resulted from plate microstructural heterogeneities, making the strength prediction of such plates still a challenging issue nowadays. To this end, exemplified by fibre-reinforced laminates, the asymptotic behaviour of three-dimensional full-resolution models of microstructural plates is studied. Without containing any phenomenological parameters but merely the information about the isotropic constituting materials and the microstructural geometry, the derived (leading-order) asymptotic plate model is able, not only to reproduce the quantities indexing the homogenised properties of a microstructural plate, such as its stiffness coefficients and vibration modes, but also to predict the locally heterogeneous stress distribution. For fibre-reinforced laminates, the internal stress distribution can be calculated in a semi-analytical manner, and the relative error in stress prediction is shown to be lower than 8.5% for an arbitrarily oriented laminate bearing a slenderness of 0.08. The predictability of the introduced asymptotic plate model is also demonstrated over methods based on the concept of representative volume.
{"title":"Predictions of local stress heterogeneities within fibre-reinforced laminated plates","authors":"Xue Zhao, Zhengcheng Zhou, Yichao Zhu","doi":"10.1016/j.ijengsci.2024.104199","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104199","url":null,"abstract":"Most plate models in use are hypothesis-based, which struggle to resolve the internal stress distribution resulted from plate microstructural heterogeneities, making the strength prediction of such plates still a challenging issue nowadays. To this end, exemplified by fibre-reinforced laminates, the asymptotic behaviour of three-dimensional full-resolution models of microstructural plates is studied. Without containing any phenomenological parameters but merely the information about the isotropic constituting materials and the microstructural geometry, the derived (leading-order) asymptotic plate model is able, not only to reproduce the quantities indexing the homogenised properties of a microstructural plate, such as its stiffness coefficients and vibration modes, but also to predict the locally heterogeneous stress distribution. For fibre-reinforced laminates, the internal stress distribution can be calculated in a semi-analytical manner, and the relative error in stress prediction is shown to be lower than 8.5% for an arbitrarily oriented laminate bearing a slenderness of 0.08. The predictability of the introduced asymptotic plate model is also demonstrated over methods based on the concept of representative volume.","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"4 1","pages":""},"PeriodicalIF":6.6,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142901782","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}
Pub Date : 2024-12-25DOI: 10.1016/j.ijengsci.2024.104211
Ivan Argatov
A hierarchical asymptotic modeling approach is applied to solve unilateral contact problems for vibroadhesive micropatterned elastic interfaces. The deformation model for individual micropillars accounts for contributions from both local (Hertzian contact) and global (elastic rod with variable cross-section) deformations. The deformation model of substrate (elastic half-space), on top of which the micropatterned interface is attached, is constructed using the Kachanov method for describing the elastic interaction between the pillar bases. The generalized JKR-type rate-dependent adhesion is assumed for characterizing the contact interface between the micropillars and a rigid punch (external indenting body), which is taken to be spherical in the considered specific cases. In the spirit of the metamaterials paradigm, each elastic micropillar is equipped with a rigid inertial inclusion to enhance vibroadhesion in a resonance range of excitation frequencies. Simple analytical approximations for the total pull-off force are obtained by means of a homogenization method. The influence of substrate (or backing-layer interaction) on the adhesive strength is described in detail in the case of flat-ended pillars. It was shown that the effect of rate-dependent adhesion, which is characterized by the Gent–Schultz power law, reveals itself in gradual stiffening the contact with excitation frequency increasing towards the resonance, which implies the so-called stiffening behavior of the amplitude–frequency characteristic for an individual composite micropillar.
{"title":"Nonlinear elastic metafoundation as a model for adhesive micropatterned elastic interfaces","authors":"Ivan Argatov","doi":"10.1016/j.ijengsci.2024.104211","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104211","url":null,"abstract":"A hierarchical asymptotic modeling approach is applied to solve unilateral contact problems for vibroadhesive micropatterned elastic interfaces. The deformation model for individual micropillars accounts for contributions from both local (Hertzian contact) and global (elastic rod with variable cross-section) deformations. The deformation model of substrate (elastic half-space), on top of which the micropatterned interface is attached, is constructed using the Kachanov method for describing the elastic interaction between the pillar bases. The generalized JKR-type rate-dependent adhesion is assumed for characterizing the contact interface between the micropillars and a rigid punch (external indenting body), which is taken to be spherical in the considered specific cases. In the spirit of the metamaterials paradigm, each elastic micropillar is equipped with a rigid inertial inclusion to enhance vibroadhesion in a resonance range of excitation frequencies. Simple analytical approximations for the total pull-off force are obtained by means of a homogenization method. The influence of substrate (or backing-layer interaction) on the adhesive strength is described in detail in the case of flat-ended pillars. It was shown that the effect of rate-dependent adhesion, which is characterized by the Gent–Schultz power law, reveals itself in gradual stiffening the contact with excitation frequency increasing towards the resonance, which implies the so-called stiffening behavior of the amplitude–frequency characteristic for an individual composite micropillar.","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"114 1","pages":""},"PeriodicalIF":6.6,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142901781","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}
Pub Date : 2024-12-24DOI: 10.1016/j.ijengsci.2024.104194
Claudia Binetti, Andrea Cannizzo, Giuseppe Florio, Nicola M. Pugno, Giuseppe Puglisi, Stefano Giordano
Adhesion and deadhesion processes at the interface between an object and a substrate are well-established phenomena in the realm of materials science and biophysics. These processes can be profoundly influenced by thermal fluctuations, a phenomenon empirically validated through numerous experimental observations. While discrete models have traditionally served as a foundation for understanding this intricate interplay, this paper seeks to bridge the gap between such discrete representations and the continuous models that more accurately reflect experimental scenarios. To achieve this objective, we initially adopt discrete models comprising n elements, selected such that their physical parameters converge towards the continuum limit as n approaches infinity. This thoughtful scaling ensures that the discrete system retains its relevance in the context of continuous media. Leveraging principles from Statistical Mechanics and Griffith-type total energy minimization approaches, we employ this scaled discrete model to investigate the impact of temperature in continuous adhesion phenomena. As a result, we obtain an analytical model to account for the decrease of the decohesion threshold depending on thermal (entropic) energy terms. Interestingly, our approach demonstrates that continuous adhesion models invariably exhibit phase transitions, whose critical temperatures can be derived through closed-form calculations. By elucidating these critical temperature values, this work enhances our understanding of adhesion processes within continuous media and opens new avenues for the exploration of adhesion-related phenomena in diverse scientific disciplines. Finally, the comparison with some experimental results is discussed.
{"title":"Exploring the impact of thermal fluctuations on continuous models of adhesion","authors":"Claudia Binetti, Andrea Cannizzo, Giuseppe Florio, Nicola M. Pugno, Giuseppe Puglisi, Stefano Giordano","doi":"10.1016/j.ijengsci.2024.104194","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104194","url":null,"abstract":"Adhesion and deadhesion processes at the interface between an object and a substrate are well-established phenomena in the realm of materials science and biophysics. These processes can be profoundly influenced by thermal fluctuations, a phenomenon empirically validated through numerous experimental observations. While discrete models have traditionally served as a foundation for understanding this intricate interplay, this paper seeks to bridge the gap between such discrete representations and the continuous models that more accurately reflect experimental scenarios. To achieve this objective, we initially adopt discrete models comprising <mml:math altimg=\"si1.svg\" display=\"inline\"><mml:mi>n</mml:mi></mml:math> elements, selected such that their physical parameters converge towards the continuum limit as <mml:math altimg=\"si1.svg\" display=\"inline\"><mml:mi>n</mml:mi></mml:math> approaches infinity. This thoughtful scaling ensures that the discrete system retains its relevance in the context of continuous media. Leveraging principles from Statistical Mechanics and Griffith-type total energy minimization approaches, we employ this scaled discrete model to investigate the impact of temperature in continuous adhesion phenomena. As a result, we obtain an analytical model to account for the decrease of the decohesion threshold depending on thermal (entropic) energy terms. Interestingly, our approach demonstrates that continuous adhesion models invariably exhibit phase transitions, whose critical temperatures can be derived through closed-form calculations. By elucidating these critical temperature values, this work enhances our understanding of adhesion processes within continuous media and opens new avenues for the exploration of adhesion-related phenomena in diverse scientific disciplines. Finally, the comparison with some experimental results is discussed.","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"33 1","pages":""},"PeriodicalIF":6.6,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142902111","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}
Pub Date : 2024-12-22DOI: 10.1016/j.ijengsci.2024.104195
Edgár Bertóti
A phenomenological pseudo-elastic model for isotropically elastic, incompressible materials exhibiting Mullins-type dissipation has been developed using a complementary energy-based approach. The work-conjugate constitutive variables in the inverse stress–strain relations are the Hencky logarithmic strain tensor and the Cauchy stress tensor. The thermo-mechanically consistent pseudo-elastic model is derived by applying the dissipation inequality in terms of complementary energy. The basic constitutive model for the virgin material is described by a complementary energy potential, which is assumed to be a power-law function of the second and third invariants of the deviatoric Cauchy stress tensor. The scalar measure of the maximum load is chosen to be the basic complementary energy. The virgin state variable describes the amplification of the logarithmic strain and behaves monotonically with respect to the Cauchy stress along the secondary loading paths. The applicability and efficacy of the model are demonstrated for uniaxial tension problems. The basic model contains three fitting parameters, and the monotonic amplification of the logarithmic strain is described by one additional fitting parameter. The predictive capability of this four-parameter pseudo-elastic model is validated through parameter fitting procedures using three different sets of experimental data from the open literature.
{"title":"A complementary energy-based constitutive model for the Mullins effect","authors":"Edgár Bertóti","doi":"10.1016/j.ijengsci.2024.104195","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104195","url":null,"abstract":"A phenomenological pseudo-elastic model for isotropically elastic, incompressible materials exhibiting Mullins-type dissipation has been developed using a complementary energy-based approach. The work-conjugate constitutive variables in the inverse stress–strain relations are the Hencky logarithmic strain tensor and the Cauchy stress tensor. The thermo-mechanically consistent pseudo-elastic model is derived by applying the dissipation inequality in terms of complementary energy. The basic constitutive model for the virgin material is described by a complementary energy potential, which is assumed to be a power-law function of the second and third invariants of the deviatoric Cauchy stress tensor. The scalar measure of the maximum load is chosen to be the basic complementary energy. The virgin state variable describes the amplification of the logarithmic strain and behaves monotonically with respect to the Cauchy stress along the secondary loading paths. The applicability and efficacy of the model are demonstrated for uniaxial tension problems. The basic model contains three fitting parameters, and the monotonic amplification of the logarithmic strain is described by one additional fitting parameter. The predictive capability of this four-parameter pseudo-elastic model is validated through parameter fitting procedures using three different sets of experimental data from the open literature.","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"39 1","pages":""},"PeriodicalIF":6.6,"publicationDate":"2024-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142874755","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}
Pub Date : 2024-12-21DOI: 10.1016/j.ijengsci.2024.104196
Zhi-He Jin, Michael L. Peterson
This work describes a thermo-poroelasticity model for a porous medium filled by two immiscible fluids in the framework of the Biot theory of poroelasticity. Local thermal equilibrium is assumed, i.e., the solid, the wetting fluid and the nonwetting fluid experience the same temperature variation in a continuum material particle. The constitutive relations in the present model include the thermally induced fluid content variations for both the wetting and nonwetting fluids. The model is employed to study the thermo-poroelastic responses of a borehole in a partially saturated, infinite porous medium subjected to a uniform temperature variation at the borehole boundary. The Laplace transform technique is used to obtain closed form, short time solutions for the thermally induced pore pressure and stress fields around the borehole. The analytical solutions indicate that the pore pressures of both the wetting and nonwetting fluids around the borehole at short times are characterized by the complementary error functions with the time scaled by partial saturation parameters as well as the thermal diffusivity of the porous medium. The numerical results for a porous medium dominantly filled by the wetting fluid indicate that the peak thermal pore pressure of the wetting fluid is much higher than that in the corresponding porous medium fully saturated by the wetting fluid while the thermal fluid content variation of the wetting fluid becomes lower due to partial saturation. Partial saturation also increases the thermal radial stress but the thermal hoop stress is relatively insensitive to partial saturation.
{"title":"A thermo-poroelasticity model for partially saturated porous media","authors":"Zhi-He Jin, Michael L. Peterson","doi":"10.1016/j.ijengsci.2024.104196","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104196","url":null,"abstract":"This work describes a thermo-poroelasticity model for a porous medium filled by two immiscible fluids in the framework of the Biot theory of poroelasticity. Local thermal equilibrium is assumed, i.e., the solid, the wetting fluid and the nonwetting fluid experience the same temperature variation in a continuum material particle. The constitutive relations in the present model include the thermally induced fluid content variations for both the wetting and nonwetting fluids. The model is employed to study the thermo-poroelastic responses of a borehole in a partially saturated, infinite porous medium subjected to a uniform temperature variation at the borehole boundary. The Laplace transform technique is used to obtain closed form, short time solutions for the thermally induced pore pressure and stress fields around the borehole. The analytical solutions indicate that the pore pressures of both the wetting and nonwetting fluids around the borehole at short times are characterized by the complementary error functions with the time scaled by partial saturation parameters as well as the thermal diffusivity of the porous medium. The numerical results for a porous medium dominantly filled by the wetting fluid indicate that the peak thermal pore pressure of the wetting fluid is much higher than that in the corresponding porous medium fully saturated by the wetting fluid while the thermal fluid content variation of the wetting fluid becomes lower due to partial saturation. Partial saturation also increases the thermal radial stress but the thermal hoop stress is relatively insensitive to partial saturation.","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"83 1","pages":""},"PeriodicalIF":6.6,"publicationDate":"2024-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142874784","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}
Pub Date : 2024-12-21DOI: 10.1016/j.ijengsci.2024.104197
Irina Markova, Mikhail Markov, Rafael Ávila-Carrera
In this work, synthetic waveforms generated by a point source of acoustic oscillations in a cylindrical cavity filled with a fluid are calculated using Biot's theory. The calculations are performed for the case when the pores and the cavity are filled with different immiscible fluids. The influence of surface tension on the parameters of elastic waves is investigated. It is shown that the influence of the effects associated with the presence of the surface tension is significant in the low frequency range (kf R) < 1, where kf is the wave number of the longitudinal wave in the fluid; R is the cavity radius.
{"title":"Propagation of elastic waves in a fluid-filled cylindrical cavity located in a poroelastic medium: The influence of surface tension","authors":"Irina Markova, Mikhail Markov, Rafael Ávila-Carrera","doi":"10.1016/j.ijengsci.2024.104197","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104197","url":null,"abstract":"In this work, synthetic waveforms generated by a point source of acoustic oscillations in a cylindrical cavity filled with a fluid are calculated using Biot's theory. The calculations are performed for the case when the pores and the cavity are filled with different immiscible fluids. The influence of surface tension on the parameters of elastic waves is investigated. It is shown that the influence of the effects associated with the presence of the surface tension is significant in the low frequency range (<ce:italic>k<ce:inf loc=\"post\">f</ce:inf> R</ce:italic>) < 1, where <ce:italic>k<ce:inf loc=\"post\">f</ce:inf></ce:italic> is the wave number of the longitudinal wave in the fluid; <ce:italic>R</ce:italic> is the cavity radius.","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"85 1","pages":""},"PeriodicalIF":6.6,"publicationDate":"2024-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142874782","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}
Pub Date : 2024-12-13DOI: 10.1016/j.ijengsci.2024.104185
Behrouz Karami, Mergen H. Ghayesh
This study presents an investigation into the elastic wave propagation of graphene origami (GO)-enabled auxetic metamaterial plates, using a quasi-three-dimensional (3D) model for the first time. It introduces an eight-parameter quasi-3D theory for the governing equations of motion of the metamaterial plates, including axial, transverse, rotational, and stretching motions through variational algebra. Material properties such as Poisson's ratio, mass density, and Young's modulus are changed along the z-axis and estimated using genetic programming-assisted micromechanics models from the literature. Initial numerical validation is performed by comparison with a simplified model. The study further explores the effects of GO content and its thickness-direction pattern, and GO folding degree on the wave frequency, phase velocity, and the group velocity. The findings indicate that, in general, the GO-enabled metamaterial plate exhibits a higher wave frequency compared to conventional metallic structures.
本研究首次使用准三维（3D）模型对石墨烯折纸（GO）辅助超材料板的弹性波传播进行了研究。它通过变分代数为超材料板的运动控制方程引入了八参数准三维理论，包括轴向、横向、旋转和拉伸运动。泊松比、质量密度和杨氏模量等材料属性沿 Z 轴变化，并使用文献中的遗传编程辅助微力学模型进行估算。通过与简化模型的比较，进行了初步的数值验证。研究进一步探讨了 GO 含量及其厚度方向模式以及 GO 折叠程度对波频、相速度和群速度的影响。研究结果表明，总体而言，与传统金属结构相比，GO 超材料板具有更高的波频。
{"title":"Wave propagation characteristics of quasi-3D graphene origami-enabled auxetic metamaterial plates","authors":"Behrouz Karami, Mergen H. Ghayesh","doi":"10.1016/j.ijengsci.2024.104185","DOIUrl":"https://doi.org/10.1016/j.ijengsci.2024.104185","url":null,"abstract":"This study presents an investigation into the elastic wave propagation of graphene origami (GO)-enabled auxetic metamaterial plates, using a quasi-three-dimensional (3D) model for the first time. It introduces an eight-parameter quasi-3D theory for the governing equations of motion of the metamaterial plates, including axial, transverse, rotational, and stretching motions through variational algebra. Material properties such as Poisson's ratio, mass density, and Young's modulus are changed along the <ce:italic>z-</ce:italic>axis and estimated using genetic programming-assisted micromechanics models from the literature. Initial numerical validation is performed by comparison with a simplified model. The study further explores the effects of GO content and its thickness-direction pattern, and GO folding degree on the wave frequency, phase velocity, and the group velocity. The findings indicate that, in general, the GO-enabled metamaterial plate exhibits a higher wave frequency compared to conventional metallic structures.","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"120 1","pages":""},"PeriodicalIF":6.6,"publicationDate":"2024-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142825410","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}
The novelty here comes from not only the perfect nonlinear three-dimensional (3D) electro-elasticity investigation but also the mixed material itself. The literature widely showed mechanical assessments on the piezoelectric structures; however, a lack of nonlinear three-dimensional elasticity studies has been witnessed on these kinds of smart materials. Therefore, a nonlinear 3D elasticity-piezoelectricity coupling is considered in this study. What is more, this research brings about an era in the field of sensing manufacturing such as sensors and actuators by proposing the construction of these devices in an advanced composite framework. The piezoelectric medium can be electro-mechanically improved with the aggregation of graphene platelets/nanoplatelets (GPLs/GNPs) based on the functionally graded (FG) composition. The assumption for such a smart composite has been made to provide higher flexibility smart tools while their elastic strength can also get further. To accomplish this, the derivation of a rigorous mathematical model has come out for a transversely isotropic inhomogeneous FG-piezoelectric beam-like sensor/actuator using 3D kinematic displacements, geometrically nonlinear strains, Lagrange technique, 3D stress-strains tensors, linear elastic material, and in particular Halpin-Tsai micro-mechanic model. Numerical modeling has been built by the generalized differential quadrature (GDQ) technique. A comprehensive parametric study has also been established for intelligent FG beams.
{"title":"On nonlinear 3D electro-elastic numerical modeling of two-phase inhomogeneous FG piezocomposites reinforced with GNPs","authors":"Mohammad Malikan , Shahriar Dastjerdi , Magdalena Rucka , Mehran Kadkhodayan","doi":"10.1016/j.ijengsci.2024.104174","DOIUrl":"10.1016/j.ijengsci.2024.104174","url":null,"abstract":"<div><div>The novelty here comes from not only the perfect nonlinear three-dimensional (3D) electro-elasticity investigation but also the mixed material itself. The literature widely showed mechanical assessments on the piezoelectric structures; however, a lack of nonlinear three-dimensional elasticity studies has been witnessed on these kinds of smart materials. Therefore, a nonlinear 3D elasticity-piezoelectricity coupling is considered in this study. What is more, this research brings about an era in the field of sensing manufacturing such as sensors and actuators by proposing the construction of these devices in an advanced composite framework. The piezoelectric medium can be electro-mechanically improved with the aggregation of graphene platelets/nanoplatelets (GPLs/GNPs) based on the functionally graded (FG) composition. The assumption for such a smart composite has been made to provide higher flexibility smart tools while their elastic strength can also get further. To accomplish this, the derivation of a rigorous mathematical model has come out for a transversely isotropic inhomogeneous FG-piezoelectric beam-like sensor/actuator using 3D kinematic displacements, geometrically nonlinear strains, Lagrange technique, 3D stress-strains tensors, linear elastic material, and in particular Halpin-Tsai micro-mechanic model. Numerical modeling has been built by the generalized differential quadrature (GDQ) technique. A comprehensive parametric study has also been established for intelligent FG beams.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"207 ","pages":"Article 104174"},"PeriodicalIF":5.7,"publicationDate":"2024-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142745449","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}
Pub Date : 2024-11-19DOI: 10.1016/j.ijengsci.2024.104172
Daniele Ussorio , Marzia Sara Vaccaro , Raffaele Barretta , Raimondo Luciano , Francesco Marotti de Sciarra
Analysing scale phenomena in nanostructures is crucial for modelling and optimizing modern nanotechnological devices. Notably, soft nanostructures can be effectively designed as basic components of smart electro-mechanical systems that require geometrically nonlinear analyses as their structural parts undergo large deflection. Adoption of non-conventional approaches for accurate assessment of size effects is thus needed. The paper investigates the elastostatic behaviour of small-scale beams experiencing large displacements exploiting a consistent model of integral gradient elasticity. An iterative analytical solution procedure is proposed to address the geometrically nonlinear problem of soft nanobeams. The presented nonlocal stress gradient methodology is able to capture both stiffening and softening size-dependent nonlinear responses, thus generalizing the outcomes contributed by Vaccaro (2022). Effectiveness of the proposed approach for modelling and designing next-generation smart devices is finally shown by solving applicative nanomechanical problems. The presented methodology can be further extended to nonlinear analyses of three-dimensional nanocontinua to capture size effects of arbitrarily shaped structures undergoing large configuration changes.
{"title":"Large deflection of a nonlocal gradient cantilever beam","authors":"Daniele Ussorio , Marzia Sara Vaccaro , Raffaele Barretta , Raimondo Luciano , Francesco Marotti de Sciarra","doi":"10.1016/j.ijengsci.2024.104172","DOIUrl":"10.1016/j.ijengsci.2024.104172","url":null,"abstract":"<div><div>Analysing scale phenomena in nanostructures is crucial for modelling and optimizing modern nanotechnological devices. Notably, soft nanostructures can be effectively designed as basic components of smart electro-mechanical systems that require geometrically nonlinear analyses as their structural parts undergo large deflection. Adoption of non-conventional approaches for accurate assessment of size effects is thus needed. The paper investigates the elastostatic behaviour of small-scale beams experiencing large displacements exploiting a consistent model of integral gradient elasticity. An iterative analytical solution procedure is proposed to address the geometrically nonlinear problem of soft nanobeams. The presented nonlocal stress gradient methodology is able to capture both stiffening and softening size-dependent nonlinear responses, thus generalizing the outcomes contributed by <span><span>Vaccaro (2022)</span></span>. Effectiveness of the proposed approach for modelling and designing next-generation smart devices is finally shown by solving applicative nanomechanical problems. The presented methodology can be further extended to nonlinear analyses of three-dimensional nanocontinua to capture size effects of arbitrarily shaped structures undergoing large configuration changes.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"206 ","pages":"Article 104172"},"PeriodicalIF":5.7,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142698418","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}
Pub Date : 2024-11-17DOI: 10.1016/j.ijengsci.2024.104170
Ivan I. Argatov , Federico J. Sabina
An active composite material is assumed to be composed of a passive isotropic elastic matrix with spherical voids containing active rod-like elements, each of which being in diametrical contact with the void’s surface. A ball-bearing fixation between the rod and the contact pads is assumed, and thereby the normal contact becomes a primary mode through which the rod-like elements transfer active loading to the surrounding elastic matrix. Under the assumption that the radius of contact pads is small compared to the void radius, an asymptotic solution to the corresponding elasticity polarization matrix has been derived by the method of matched asymptotic expansions. The obtained explicit analytical results for the matrix/inclusion contact problem and a non-interaction approximation scheme are utilized for constructing an asymptotic model of the dilute elastic active microstructure.
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