Mathematics and Mechanics of Solids最新文献_第2页

Response to the reply by Duong et al. 对 Duong 等人答复的回应

Mathematics and Mechanics of Solids Pub Date : 2024-02-12 DOI: 10.1177/10812865231223612

D. Steigmann

引用次数: 0

Discussion of “A general theory for anisotropic Kirchhoff-Love shells with in-plane bending of embedded fibers,” by T.X Duong, et al., Math. Mech. Solids 28, 1274–1317 (2023) 讨论 "A general theory for anisotropic Kirchhoff-Love shells with in-plane bending of embedded fibers," by T.X Duong, et al.Mech.固体 28, 1274-1317 (2023)

Mathematics and Mechanics of Solids Pub Date : 2024-02-12 DOI: 10.1177/10812865231223610

D. Steigmann

引用次数: 0

Discussion of “A general theory for anisotropic Kirchhoff-Love shells with in-plane bending of embedded fibers,” by T.X Duong, et al., Math. Mech. Solids 28, 1274–1317 (2023) 讨论 "A general theory for anisotropic Kirchhoff-Love shells with in-plane bending of embedded fibers," by T.X Duong, et al.Mech.固体 28, 1274-1317 (2023)

Mathematics and Mechanics of Solids Pub Date : 2024-02-12 DOI: 10.1177/10812865231223610

D. Steigmann

引用次数: 0

Lamb waves at a non-semisimple degeneracy of the fundamental matrix 基本矩阵非半数退化时的 Lamb 波

Mathematics and Mechanics of Solids Pub Date : 2024-02-09 DOI: 10.1177/10812865241228608

S. V. Kuznetsov

引用次数: 0

Lamb waves at a non-semisimple degeneracy of the fundamental matrix 基本矩阵非半数退化时的 Lamb 波

Mathematics and Mechanics of Solids Pub Date : 2024-02-09 DOI: 10.1177/10812865241228608

S. V. Kuznetsov

引用次数: 0

Analytical modeling of the electrical conductivity of CNT-filled polymer nanocomposites 碳纳米管填充聚合物纳米复合材料导电性的分析建模

Mathematics and Mechanics of Solids Pub Date : 2024-02-08 DOI: 10.1177/10812865231225483

Masoud Ahmadi, Prashant Saxena

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引用次数: 0

Analytical modeling of the electrical conductivity of CNT-filled polymer nanocomposites 碳纳米管填充聚合物纳米复合材料导电性的分析建模

Mathematics and Mechanics of Solids Pub Date : 2024-02-08 DOI: 10.1177/10812865231225483

Masoud Ahmadi, Prashant Saxena

{"title":"Analytical modeling of the electrical conductivity of CNT-filled polymer nanocomposites","authors":"Masoud Ahmadi, Prashant Saxena","doi":"10.1177/10812865231225483","DOIUrl":"https://doi.org/10.1177/10812865231225483","url":null,"abstract":"Electrical conductivity of most polymeric insulators can be drastically enhanced by introducing a small volume fraction [Formula: see text] of conductive nanofillers. These nanocomposites find wide-ranging engineering applications from cellular metamaterials to strain sensors. In this work, we present a mathematical model to predict the effective electrical conductivity of carbon nanotubes (CNTs)/polymer nanocomposites accounting for the conductivity, dimensions, volume fraction, and alignment of the CNTs. Eshelby’s classical equivalent inclusion method (EIM) is generalized to account for electron-hopping—a key mechanism of electron transport across CNTs, and is validated with experimental data. Two measurements, namely, the limit angle of filler orientation and the probability distribution function, are used to control the alignment of CNTs within the composites. Our simulations show that decreasing the angle from a uniformly random distribution to a fully aligned state significantly reduces the transverse electrical conductivity, while the longitudinal conductivity shows less sensitivity to angle variation. Moreover, it is observed that distributing CNTs with non-uniform probability distribution functions results in an increase in longitudinal conductivity and a decrease in transverse conductivity, with these differences becoming more pronounced as the volume fraction of CNTs is increased. A reduction in CNT length decreases the effective electrical conductivity due to the reduced number of available conductive pathways while reducing CNT diameter increases the conductivity.","PeriodicalId":502792,"journal":{"name":"Mathematics and Mechanics of Solids","volume":" 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139793310","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric bi-material strip 压电双材料带中 V 型缺口导致的 SH 导波散射特性分析

Mathematics and Mechanics of Solids Pub Date : 2024-02-08 DOI: 10.1177/10812865231225737

Xi-Meng Zhang, Hui Qi

{"title":"Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric bi-material strip","authors":"Xi-Meng Zhang, Hui Qi","doi":"10.1177/10812865231225737","DOIUrl":"https://doi.org/10.1177/10812865231225737","url":null,"abstract":"In this paper, the problem of a V-notch with complex boundary conditions in a piezoelectric bi-material strip is studied. First, SH guided wave is considered as an external load acting on the piezoelectric bi-material strip; on the basis of repeated image superposition, the analytical expression of scattering wave is conducted, which satisfies the stress-free and electric insulation conditions on the upper and lower horizontal boundaries of the strip. Then, the analytical expression of standing wave is established, which satisfies the stress-free and electric insulation conditions on the boundaries of V-notch by the fractional Bessel function expansion method and Graf addition theorem. Finally, Green’s function method is applied, the bi-material strip is divided into two parts along the vertical interface, a pair of in-plane electric field and out-plane forces is applied on the vertical interface, and the first kind of Fredholm integral equations is set up and solved by applying the orthogonal function expansion technique and effective truncation. Results clarified the influence on the dynamic stress concentration factor and electric field intensity concentration factor under proper conditions. Besides, the analytical solutions are compared with the finite element solutions to verify the accuracy of the conclusions in this article.","PeriodicalId":502792,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"361 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139852127","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric bi-material strip 压电双材料带中 V 型缺口导致的 SH 导波散射特性分析

Mathematics and Mechanics of Solids Pub Date : 2024-02-08 DOI: 10.1177/10812865231225737

Xi-Meng Zhang, Hui Qi

{"title":"Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric bi-material strip","authors":"Xi-Meng Zhang, Hui Qi","doi":"10.1177/10812865231225737","DOIUrl":"https://doi.org/10.1177/10812865231225737","url":null,"abstract":"In this paper, the problem of a V-notch with complex boundary conditions in a piezoelectric bi-material strip is studied. First, SH guided wave is considered as an external load acting on the piezoelectric bi-material strip; on the basis of repeated image superposition, the analytical expression of scattering wave is conducted, which satisfies the stress-free and electric insulation conditions on the upper and lower horizontal boundaries of the strip. Then, the analytical expression of standing wave is established, which satisfies the stress-free and electric insulation conditions on the boundaries of V-notch by the fractional Bessel function expansion method and Graf addition theorem. Finally, Green’s function method is applied, the bi-material strip is divided into two parts along the vertical interface, a pair of in-plane electric field and out-plane forces is applied on the vertical interface, and the first kind of Fredholm integral equations is set up and solved by applying the orthogonal function expansion technique and effective truncation. Results clarified the influence on the dynamic stress concentration factor and electric field intensity concentration factor under proper conditions. Besides, the analytical solutions are compared with the finite element solutions to verify the accuracy of the conclusions in this article.","PeriodicalId":502792,"journal":{"name":"Mathematics and Mechanics of Solids","volume":" 43","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139792473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Refined linearly anisotropic couple-stress elasticity 完善的线性各向异性耦合应力弹性体

Mathematics and Mechanics of Solids Pub Date : 2024-02-07 DOI: 10.1177/10812865231222898

K. Soldatos

{"title":"Refined linearly anisotropic couple-stress elasticity","authors":"K. Soldatos","doi":"10.1177/10812865231222898","DOIUrl":"https://doi.org/10.1177/10812865231222898","url":null,"abstract":"A recently developed, refined version of the conventional linear couple-stress theory of isotropic elasticity is extended to include the influence of anisotropic material effects. With this development, the implied refined theory (1) retains ability to determine the spherical part of the couple-stress and (2) is further furnished with constitutive ability to embrace modelling of linearly elastic solids that exhibit inherent polar material anisotropy of advanced levels that reach the class of locally monoclinic materials. This type of anisotropy embraces most of the structural material subclasses met in practice, such as those of general and special orthotropy, as well as the subclass of transverse isotropy. The thus obtained, enhanced version of the refined theory is furnished with ability to also handle structural analysis problems of polar fibrous composites reinforced by families of perfectly flexible fibres or, more generally, polar anisotropic solids possessing one or more material preference directions that do not possess bending resistance. A relevant example application considers and studies in detail the subclass of polar transverse isotropy caused by the presence of a single family of perfectly flexible fibres. By developing the relevant constitutive equation, and explicitly presenting it in a suitable matrix rather than indicial notation form, that application also exemplifies the way that the spherical part of the couple-stress is determined when the fibres are straight. It further enables this communication to initiate a discussion of further important issues stemming from (1) the positive definiteness of the full, polar form of the relevant strain energy function and (2) the lack of ellipticity of the final form attained by the governing differential equations.","PeriodicalId":502792,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"17 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139856887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1