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10 articles for “Exponential law”
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Comparative Buckling Load Analysis of Thin Functionally Graded Material Plates with Variable Distributions: Power Law vs. Sigmoidal vs. Exponential
Abstract: A comprehensive comparative analysis of buckling load behavior in thin Functionally Graded Material (FGM) plates with variable material distributions is presented in this paper. FGMs, characterized by gradient composition, possess unique mechanical properties suitable for diverse engineering applications. The study focuses on three distinct distribution functions: Power Law, Sigmoidal, and Exponential, each exerting different influences on the material gradient. Finite Element Analysis is utilized in exploring the buckling response for …
Published in Journal of Polymer & Composites · Vol. 12, Issue 3, 2024 · pp. 98–105 Read article
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Behaviour of Tri-Directional Advanced Composite Beam Using Finite Element Method
Abstract: The present work shows the modal analysis of tri-directional advanced composite beams using the finite element method. The mechanical parameters of the beam are supposed to vary in the direction of beam length (x), width (y), and thickness (h). In this work material parameters are assumed to vary according to the exponential rule of functionally graded material. To authenticate the accuracy of the present work, the result with a particular …
Published in Journal of Polymer & Composites · Vol. 13, Issue 1, 2025 · pp. 610–620 Read article
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Vibration Analysis of Functionally Graded Piezoelectric Actuators: A Comprehensive Review
Abstract: Recent research has been concentrated on a thorough investigation of the vibration evaluation of functionally graded piezoelectric materials (FGPM), shedding light on the potential for enhancing structural optimization and controlling deflections and vibrations. Functionally graded piezoelectric material is a type of advanced composite material possessing diverse characteristics that allow for customized mechanical and electrical responses. The existing body of academic work extensively addresses the vibration analysis of functionally graded piezoelectric …
Published in Journal of Polymer & Composites · Vol. 13, Issue 1, 2025 · pp. 426–440 Read article
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Optimizing Vehicle Structures Using Functionally Graded Materials of Aluminum and Carbon Fiber Reinforced Polymer Composites
Abstract: This article investigates the optimization of vehicle structures through application of functionally graded materials (FGMs), specifically aluminium and carbon fibre reinforced polymer (CFRP) composites. Such materials, known as FGMs, are characterized by spatial variations in composition and structure designed to improve so-called performance attributes. For the purposes of this research, the material properties of aluminium and CFRP composites are taken to be randomly distributed in thickness direction of a FGM …
Published in Journal of Polymer & Composites · Vol. 13, Issue 2, 2025 · pp. 478–489 Read article
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Hygrothermal Analysis of Functionally Graded Material Plates
Abstract: This study introduces a novel higher-order shear deformation theory, tailored to accommodate various loading conditions experienced by laminated plates. The theory is specifically designed for the hygrothermal analysis of functionally graded plates. Three homogenization methods are used to calculate the Young's Modulus that is Power law distribution, The exponential distribution and The Mori-Tanaka scheme. Navier's solution scheme is used for flexural analysis of Functionally graded plates simply supported at all …
Published in Journal of Structural Engineering and Management · Vol. 11, Issue 2, 2024 · pp. 44–62 Read article
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Fracture Analysis of Functionally Graded Material (FGM) Plates Using Extended Finite Element Method: A Review.
Abstract: Functionally Graded Materials (FGMs), have drawn a lot of interest in various engineering applications due to their superior mechanical properties and ability to withstand extreme conditions. Fracture analysis in FGMs focuses on understanding how cracks initiate and propagate within these complex materials. The stress distribution becomes irregular due to spatial property variations which produces different crack paths than what occurs in homogeneous materials. The examination of FGM plates under fracture …
Published in International Journal of Fracture Mechanics and Damage Science · Vol. 4, Issue 1, 2026 · pp. 9–15 Read article
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Kaniadakis Holographic Dark Energy by Using Hybrid Scale Factor
Abstract: We carry out the work on Kaniadakis holographic dark energy KHDE with hybrid expansion law by taking the scale factor containing both exponent and exponential form. Therby revealing the present state of accelerating and expanding universe in the flat Friedmann-Robertson-Walber universe. The deceleration parameter q portrays whether he universe is decelerating or accererating. q greater than zero suggests the universe is slowing down or getting decelerated and q less than …
Published in Journal of Polymer & Composites · Vol. 11, Issue 7, 2023 · pp. 30–38 Read article
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The Next Era of Solid-State Innovation: Beyond Silicon
Abstract: The semiconductor industry is getting close to the physical and economic boundaries of silicon-based technology. A new era of solid-state innovation is beginning. Beyond Silicon: The Next Era of Solid-State Innovation looks at the materials, device layouts, and manufacturing methods that are about to change the way electronics and energy work. The article talks about improvements in wide- and ultra-wide-bandgap semiconductors, two- dimensional materials, and quantum and neuromorphic systems that …
Published in International Journal of Solid State Innovations & Research · Vol. 3, Issue 2, 2025 · pp. 19–23 Read article
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Dissipative Particle Dynamics Simulation Study on the Evolution of Photoinitiated Free Radical Polymerization Crosslinked Networks
Abstract: Gradient polymer materials overcome the limitations of conventional homogeneous polymers by integrating multiple distinct functionalities within a single continuous structure. Although photoinitiated free-radical polymerization offers excellent spatial and temporal control, the underlying microscopic mechanisms governing network evolution under non-uniform light fields remain poorly understood. In this study, a mesoscale dissipative particle dynamics (DPD) model was successfully developed to couple free-radical polymerization kinetics—including initiation, propagation, crosslinking, and termination—with exponential light attenuation …
Published in Journal of Polymer & Composites · Vol. 14, Issue 4, 2026 · pp. 142–158 Read article
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The Evolution and Impact of Numbers: From Ancient Tallies to Quantum Computing: Review Article on Numbers
Abstract: Numbers are among the most fundamental constructs in human civilization, serving as the backbone of mathematics, science, technology, and virtually every aspect of daily life. They represent not only quantities and measures but also relationships, structures, and patterns that underpin the fabric of human understanding. From the earliest tallies etched on bones by prehistoric humans to the sophisticated numerical systems embedded in today’s artificial intelligence and quantum computing, the evolution …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 15–19 Read article