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Search Results (8)

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Keywords = Reissner’s fiber

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15 pages, 278 KiB  
Article
Contravariant Einstein-like Doubly Warped Metrics: Theory and Applications
by Foued Aloui and Ibrahim Al-Dayel
Symmetry 2025, 17(7), 1021; https://doi.org/10.3390/sym17071021 - 28 Jun 2025
Viewed by 300
Abstract
In this paper, we extend the study of contravariant Einstein-like metrics to Poisson doubly warped product manifolds (PDWPMs). We derive the necessary and sufficient conditions under which the base and fiber manifolds of a PDWPM inherit Einstein-like structures from the total space. As [...] Read more.
In this paper, we extend the study of contravariant Einstein-like metrics to Poisson doubly warped product manifolds (PDWPMs). We derive the necessary and sufficient conditions under which the base and fiber manifolds of a PDWPM inherit Einstein-like structures from the total space. As applications, we construct Einstein-like Poisson doubly warped product structures belonging to classes A, B, and P in various spacetime models, including generalizations of Reissner–Nordström, standard static, and Robertson–Walker spacetimes. Full article
(This article belongs to the Special Issue Symmetry and Applications of Differential Geometry to the Differential Equations of Mathematical Physics)
21 pages, 2930 KiB  
Article
Comparison of Different Criteria and Analytical Models for the Analysis of Composite Cylinders Assisted by Online Software
by Eduardo A. W. de Menezes, Clara S. Theisen, Thiago V. P. Farias, Gabriel M. Dick, Maikson L. P. Tonatto and Sandro C. Amico
Appl. Mech. 2025, 6(2), 32; https://doi.org/10.3390/applmech6020032 - 27 Apr 2025
Viewed by 570
Abstract
Due to their higher strength-to-weight ratio and ability to operate in harsh environments, the usage of fiber-reinforced cylindrical shells experienced a significant increase in the past decades. The key novelty of this study lies in implementing dual analytical approaches to address the complex [...] Read more.
Due to their higher strength-to-weight ratio and ability to operate in harsh environments, the usage of fiber-reinforced cylindrical shells experienced a significant increase in the past decades. The key novelty of this study lies in implementing dual analytical approaches to address the complex failure mechanisms and stress distributions in composites. Two distinct theoretical solutions were investigated, membrane theory and Mindlin–Reissner theory, for failure prediction in filament-wound structures, while uniquely providing a platform for easy comparison of theoretical approaches. Experimental data from different setups, materials, and winding angles were collected in the literature and compared using the developed online MECH-Gcomp software. Failure analysis was also carried out by applying five different failure criteria well-established for composite materials. The results from the Mindlin–Reissner theory showed 46.9% deviation and those for the membrane theory 36.2% deviation, considering more than 120 cases. Sobol sensitivity analysis identified pressure (P), transverse tensile strength, winding angle, and radius as the most influential parameters regarding the index of failure of composite cylinders. Full article
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17 pages, 286 KiB  
Article
Einstein-like Poisson Warped Product Manifolds and Applications
by Foued Aloui
Symmetry 2025, 17(5), 645; https://doi.org/10.3390/sym17050645 - 25 Apr 2025
Cited by 1 | Viewed by 314
Abstract
In this paper, we introduce the concept of contravariant Einstein-like Poisson manifolds of classes A, B, and P. We then prove that the fiber space of a Poisson warped product manifold inherits the contravariant Einstein-like classes of the total space, [...] Read more.
In this paper, we introduce the concept of contravariant Einstein-like Poisson manifolds of classes A, B, and P. We then prove that the fiber space of a Poisson warped product manifold inherits the contravariant Einstein-like classes of the total space, while the base space inherits these classes under certain conditions related to the warping function. We also explore applications of contravariant Einstein-like Poisson structures in various spacetime models, including generalized Robertson–Walker, Reissner–Nordström, and standard static spacetimes. Full article
(This article belongs to the Special Issue Recent Advance in Mathematical Physics II)
20 pages, 4718 KiB  
Article
Buckling Analysis of Variable-Angle Tow Composite Plates through Variable Kinematics Hierarchical Models
by Gaetano Giunta, Domenico Andrea Iannotta, Levent Kirkayak and Marco Montemurro
J. Compos. Sci. 2024, 8(8), 320; https://doi.org/10.3390/jcs8080320 - 13 Aug 2024
Cited by 1 | Viewed by 1457
Abstract
Variable-Angle Tow (VAT) laminates can improve straight fiber composites’ mechanical properties thanks to the application of curvilinear fibers. This characteristic allows one to achieve ambitious objectives for design and performance purposes. Nevertheless, the wider design space and the higher number of parameters result [...] Read more.
Variable-Angle Tow (VAT) laminates can improve straight fiber composites’ mechanical properties thanks to the application of curvilinear fibers. This characteristic allows one to achieve ambitious objectives for design and performance purposes. Nevertheless, the wider design space and the higher number of parameters result in a more complex structural problem. Among the various approaches that have been used for VAT study, Carrera’s Unified Formulation (CUF) allows one to obtain multiple theories within the same framework, guaranteeing a good compromise between the results’ accuracy and the computational cost. In this article, the linear buckling behavior of VAT laminates is analyzed through the extension of CUF 2D plate models within Reissner’s Mixed Variational Theorem (RMVT). The results show that RMVT can better approximate the prebuckling nonuniform stress field of the plate when compared to standard approaches, thus improving the prediction of the linear buckling loads of VAT composites. Full article
(This article belongs to the Special Issue Characterization and Modelling of Composites, Volume III)
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21 pages, 3849 KiB  
Article
A FEM Free Vibration Analysis of Variable Stiffness Composite Plates through Hierarchical Modeling
by Gaetano Giunta, Domenico Andrea Iannotta and Marco Montemurro
Materials 2023, 16(13), 4643; https://doi.org/10.3390/ma16134643 - 27 Jun 2023
Cited by 8 | Viewed by 1767
Abstract
Variable Angle Tow (VAT) laminates offer a promising alternative to classical straight-fiber composites in terms of design and performance. However, analyzing these structures can be more complex due to the introduction of new design variables. Carrera’s unified formulation (CUF) has been successful in [...] Read more.
Variable Angle Tow (VAT) laminates offer a promising alternative to classical straight-fiber composites in terms of design and performance. However, analyzing these structures can be more complex due to the introduction of new design variables. Carrera’s unified formulation (CUF) has been successful in previous works for buckling, vibrational, and stress analysis of VAT plates. Typically, one-dimensional (1D) and two-dimensional (2D) CUF models are used, with a linear law describing the fiber orientation variation in the main plane of the structure. The objective of this article is to expand the CUF 2D plate finite elements family to perform free vibration analysis of composite laminated plate structures with curvilinear fibers. The primary contribution is the application of Reissner’s mixed variational theorem (RMVT) to a CUF finite element model. The principle of virtual displacements (PVD) and RMVT are both used as variational statements for the study of monolayer and multilayer VAT plate dynamic behavior. The proposed approach is compared to Abaqus three-dimensional (3D) reference solutions, classical theories and literature results to investigate the effectiveness of the developed models. The results demonstrate that mixed theories provide the best approximation of the reference solution in all cases. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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17 pages, 2505 KiB  
Article
Numerical Simulations in Ultrasonic Guided Wave Analysis for the Design of SHM Systems—Benchmark Study Based on the Open Guided Waves Online Platform Dataset
by Enes Savli, Jean Lefèvre, Christian Willberg and Kilian Tschöke
Aerospace 2023, 10(5), 430; https://doi.org/10.3390/aerospace10050430 - 2 May 2023
Cited by 4 | Viewed by 2879
Abstract
Structural health monitoring (SHM) strategies based on ultrasonic guided waves are very promising regarding thin-walled lightweight structures. To study the performance of such systems, validated numerical analysis tools have to be used. For that procedure, a benchmark between two numerical methods will be [...] Read more.
Structural health monitoring (SHM) strategies based on ultrasonic guided waves are very promising regarding thin-walled lightweight structures. To study the performance of such systems, validated numerical analysis tools have to be used. For that procedure, a benchmark between two numerical methods will be presented. The first promising approach is the elastodynamic finite integration technique (EFIT). Miscellaneous research shows that its capability of capturing wave characteristics and interactions is advanced in various media and structures, including thin-walled composites. The second approach employs conventional shell-type finite elements following the Reissner–Mindlin theory for modelling layered composite structures. The advantage of using such finite element methods (FEM) is their high availability in general purpose simulation tools. As a reference model, the measurement data coming from the Open Guided Waves Project (OGW) was taken into account. The OGW dataset provides the experimental data of ultrasonic guided wave propagation in carbon fiber composite plates with an additional omega stringer. By using this contribution, this experiment was reproduced by simulation. The paper presents the results of a validation and motivates further research, such as in research related to the probability of detection analysis and numerical performance. Full article
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8 pages, 248 KiB  
Article
The Heavenly Passage Known in the West as Reissner’s Fiber
by Lawrence Wile
Religions 2022, 13(3), 248; https://doi.org/10.3390/rel13030248 - 14 Mar 2022
Viewed by 3099
Abstract
This article explores the hypothesis that Reissner’s fiber, an enigmatic, anomalous, thread-like structure that runs from the center of the brain to the end of the spinal cord, is the neural substrate of suprasensory perceptions of the divine. Justification for this hypothesis derives [...] Read more.
This article explores the hypothesis that Reissner’s fiber, an enigmatic, anomalous, thread-like structure that runs from the center of the brain to the end of the spinal cord, is the neural substrate of suprasensory perceptions of the divine. Justification for this hypothesis derives from a comparative study of descriptions of the “subtle body” from ancient esoteric traditions, testable speculations about altered states of consciousness correlated with the subtle dynamics of the fiber, and the fiber’s evolutionary trajectory in humans from its perinatal involution to its potential regeneration. While adequate testing of the hypothesis will require new technologies, preliminary investigations are underway. The goal of this research is to promote research about Reissner’s fiber with the hope that it could lead to the discovery of a universal religious experience underlying the transcendent unity of religions. Full article
30 pages, 7705 KiB  
Article
Free Vibrations of Sandwich Plates with Damaged Soft-Core and Non-Uniform Mechanical Properties: Modeling and Finite Element Analysis
by Michele Bacciocchi, Raimondo Luciano, Carmelo Majorana and Angelo Marcello Tarantino
Materials 2019, 12(15), 2444; https://doi.org/10.3390/ma12152444 - 31 Jul 2019
Cited by 22 | Viewed by 4015
Abstract
The paper aims to investigate the natural frequencies of sandwich plates by means of a Finite Element (FE) formulation based on the Reissner-Mindlin Zig-zag (RMZ) theory. The structures are made of a damaged isotropic soft-core and two external stiffer orthotropic face-sheets. These skins [...] Read more.
The paper aims to investigate the natural frequencies of sandwich plates by means of a Finite Element (FE) formulation based on the Reissner-Mindlin Zig-zag (RMZ) theory. The structures are made of a damaged isotropic soft-core and two external stiffer orthotropic face-sheets. These skins are strengthened at the nanoscale level by randomly oriented Carbon nanotubes (CNTs) and are reinforced at the microscale stage by oriented straight fibers. These reinforcing phases are included in a polymer matrix and a three-phase approach based on the Eshelby-Mori-Tanaka scheme and on the Halpin-Tsai approach, which is developed to compute the overall mechanical properties of the composite material. A non-uniform distribution of the reinforcing fibers is assumed along the thickness of the skin and is modeled analytically by means of peculiar expressions given as a function of the thickness coordinate. Several parametric analyses are carried out to investigate the mechanical behavior of these multi-layered structures depending on the damage features, through-the-thickness distribution of the straight fibers, stacking sequence, and mass fraction of the constituents. Some final remarks are presented to provide useful observations and design criteria. Full article
(This article belongs to the Special Issue Advances in Structural Mechanics Modeled with FEM)
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