Results 11 to 20 of about 1,735 (69)
Effective properties of fractional viscoelastic composites via two-scale asymptotic homogenization [PDF]
Mathematical Methods in the Applied Sciences, Volume 46, Issue 16, Page 16500-16520, 15 November 2023., 2023 Driven by the growing interest in fractional constitutive modeling, we adopt a two‐scale asymptotic homogenization approach to study the effective properties of fractional viscoelastic composites. We focus on a purely mechanical setting and derive the cell and homogenized problems corresponding to the balance of linear momentum equation in the absence ...
RAMÍREZ TORRES, A.
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Annalen der Physik, Volume 535, Issue 12, December 2023., 2023 For an arbitrary anharmonic oscillator, the deterministic frequency depending on the initial energy and the statistical frequency induced by thermal fluctuations are introduced. A mathematical relationship between these quantities is demonstrated, which is exact for both classical and relativistic systems.
Stefano Giordano +2 more
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“Homogenization with non‐homogeneous plastic flow”
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 47, Issue 17, Page 3209-3233, 10 December 2023., 2023 Abstract This paper provides the solution of a homogenization model that simultaneously considers the plastic and elastic strain fields in a single analytical formulation. In addition, the authors aim to decouple plastic flows triggered in the inclusions, in the matrix at the interfaces with the inclusions, and in the matrix at a large distance from ...
Elsa Anglade +3 more
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Approximate Solutions of Multidimensional Wave Problems Using an Effective Approach
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 The main goal of this paper is to introduce a new scheme for the approximate solution of 1D, 2D, and 3D wave equations. The recurrence relation is very important to deal with the approximate solution of differential problems. We construct a scheme with the help of the Laplace‐Carson integral transform (LcIT) and the homotopy perturbation method (HPM ...
Muhammad Nadeem +3 more
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Computer-Aided Civil and Infrastructure Engineering, Volume 37, Issue 13, Page 1687-1702, 1 November 2022., 2022 Abstract A three‐dimensional (3‐D) locally homogeneous model for asphalt mixtures is presented in this study, which can effectively balance the simulating accuracy and computational effort. Moreover, the locally homogeneous model accounts for various aggregate gradations to allow for the mesoscale analysis of the asphalt concrete (AC) under loading. In
Cong Du +5 more
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The Fractional Hilbert Transform on the Real Line
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper examines some special properties and important results of the fractional Hilbert transform (FHT) on the real line ℝ. In this rigorous study, we modify certain theorems of classical Hilbert transform for FHT and develop new theorems. Moreover, FHT of some common functions is given and eigenfunctions are also studied.
Naheed Abdullah +7 more
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 This study examines a new approach for the approximate solution of hyperbolic telegraph equations emerging in magnetic fields and electrical impulse transmissions. We introduce a Laplace‐Carson transform coupled with the homotopy perturbation method which is called the Laplace‐Carson homotopy perturbation method (Lc‐HPM).
Jiao Zeng +3 more
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Human Brain Mapping, Volume 42, Issue 2, Page 310-328, February 1, 2021., 2021 Diffusion MRI techniques designed to resolve fibre crossings within a given white matter (WM) voxel typically assume that the voxel‐level microstructural features can be represented by a single signal response function; this precludes the investigation of microscopic differences between the sub‐voxel fibre populations.
João P. de Almeida Martins +6 more
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Application of Multiattention Mechanism in Power System Branch Parameter Identification
Complexity, Volume 2021, Issue 1, 2021., 2021 Maintaining accuracy and robustness has always been an unsolved problem in the task of power grid branch parameter identification. Therefore, many researchers have participated in the research of branch parameter identification. The existing methods of power grid branch parameter identification suffer from two limitations.
Zhiwei Wang +5 more
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Padé‐Sumudu‐Adomian Decomposition Method for Nonlinear Schrödinger Equation
Journal of Applied Mathematics, Volume 2021, Issue 1, 2021., 2021 The main purpose of this paper is to solve the nonlinear Schrödinger equation using some suitable analytical and numerical methods such as Sumudu transform, Adomian Decomposition Method (ADM), and Padé approximation technique. In many literatures, we can see the Sumudu Adomian decomposition method (SADM) and the Laplace Adomian decomposition method ...
Metomou Richard +2 more
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