A Numerical Framework of Simulating Flow-Induced Deformation during Liquid Composite Moulding DOI Open Access
Hatim Alotaibi, Constantinos Soutis, Dianyun Zhang

et al.

Journal of Composites Science, Journal Year: 2024, Volume and Issue: 8(10), P. 401 - 401

Published: Oct. 3, 2024

Fibre deformation (or shearing of yarns) can develop during the liquid moulding composites due to injection pressures or polymerisation (cross-linking) reactions (e.g., chemical shrinkage). On that premise, this may also induce potential residual stress–strain, warpage, and design defects in composite part. In paper, a developed numerical framework is customised analyse deformations stress–strain fibre (at micro-scale) yarns meso-scale) (LCM) process cycle (fill cure stages). This achieved by linking flow simulations (coupled filling–curing simulation) transient structural model using ANSYS software. work develops advanced User-Defined Functions (UDFs) Scalers (UDSs) enhance commercial CFD code with extra models for chemorheology, kinetics, heat generation, permeability. Such will be hooked within conservation equations thermo-chemo-flow hence reflected model. doing so, knowledge permeability, polymerisation, rheology, mechanical response digitally obtained more coherent optimised manufacturing processes composites.

Language: Английский

Novel approximations to the fourth-order fractional Cahn–Hillard equations: Application to the Tantawy Technique and other two techniques with Yang transform DOI Creative Commons
S. A. El-Tantawy, Amnah S. Al‐Johani,

Aljawhara H. Almuqrin

et al.

Journal of low frequency noise, vibration and active control, Journal Year: 2025, Volume and Issue: unknown

Published: March 19, 2025

This investigation employs the “Tantawy Technique,” a novel, highly accurate, and fast technique, to solve analyze fourth-order time-fractional Cahn–Hilliard (TFCH) models. We also implement variational iteration transform method (VITM) homotopy perturbation (HPTM) within Yang framework TFCH These iterative procedures enable acquisition of solutions in convergent series. focus on two nonlinear issues current demonstrate validity accuracy suggested approaches. check derived approximations against exact for integer cases then find their absolute error ensure stability. The present approaches show how different fractional orders affect profile approximations. presented precision effectiveness techniques tackling strong differential equations. Implementing methodologies indicates that as value parameter transitions from order, result solution case. methods make it straightforward use fractal calculus real life. numerical analysis results proposed are viable user-friendly tools with high computational efficiency when used various physical models science engineering.

Language: Английский

Citations

4
A variational principle of an electrohydrodynamic fluid DOI
Yi Tian,

Yabin Shao,

Yue Shen

et al.

Modern Physics Letters A, Journal Year: 2025, Volume and Issue: unknown

Published: Jan. 24, 2025

Electrohydrodynamic fluids possess extensive applications, spanning from the formation of magnetic fields in planets and stars to oil recovery. In this paper, a variational principle for an electrohydrodynamic fluid is presented, formulated through semi-inverse method. The Ritz method utilized derive approximate solution. Furthermore, potential application optimal control problems constrained by explored.

Language: Английский

Citations

2
An Old Babylonian Algorithm and Its Modern Applications DOI Open Access
Ji‐Huan He

Symmetry, Journal Year: 2024, Volume and Issue: 16(11), P. 1467 - 1467

Published: Nov. 5, 2024

In this paper, an ancient Babylonian algorithm for calculating the square root of 2 is unveiled, and potential link between primitive technique Chinese method explored. The iteration process a symmetrical property, whereby approximate converges to exact one through harmonious interactions two roots. Subsequently, extended in ingenious manner solve algebraic equations. To demonstrate effectiveness modified algorithm, transcendental equation that arises MEMS systems considered. Furthermore, established adeptly adapted handle differential equations fractal-fractional Two illustrative examples are presented consideration: first nonlinear first-order equation, second renowned Duffing equation. results age-old approach offers novel highly effective addressing contemporary problems with remarkable ease, presenting promising solution diverse range modern challenges.

Language: Английский

Citations

13
A turn-on anthraquinone-derived colorimetric and fluorometric dual-mode probe for highly selective Hg2+ determination and bioimaging in living organisms DOI
Chen Zhao,

Ayesha Aziz,

Wenjing Lu

et al.

Journal of Hazardous Materials, Journal Year: 2024, Volume and Issue: 479, P. 135694 - 135694

Published: Aug. 28, 2024

Language: Английский

Citations

7
A fast and accurate estimation of amperometric current response in reaction kinetics DOI
Yanping Liu, Ji‐Huan He

Journal of Electroanalytical Chemistry, Journal Year: 2024, Volume and Issue: unknown, P. 118884 - 118884

Published: Dec. 1, 2024

Language: Английский

Citations

6
Nano biosensors: Classification, electrochemistry, nanostructures, and optical properties DOI Creative Commons
Ahmed Mahdi Rheima, Zainab T. Al‐Sharify, Ameen Alwan Mohaimeed

et al.

Results in Engineering, Journal Year: 2024, Volume and Issue: unknown, P. 103428 - 103428

Published: Nov. 1, 2024

Language: Английский

Citations

5
Frequency formulation for nonlinear oscillators (part 1) DOI Open Access
Ji‐Huan He

Sound&Vibration, Journal Year: 2024, Volume and Issue: 59(1), P. 1687 - 1687

Published: Nov. 15, 2024

The perturbation method is a prevalent approach for nonlinear oscillators; however, the outcomes are only applicable to situations with weak nonlinearity. Other analytical methods, such as variational iteration and homotopy method, can yield satisfactory approximate solution; each necessitates completion of multiple calculations. Hereby recommended one-step frequency formulation oscillators, this part 1 focuses itself on odd

Language: Английский

Citations

5
Mini-review on periodic properties of MEMS oscillators DOI Creative Commons
Yi Tian,

Yabin Shao

Frontiers in Physics, Journal Year: 2024, Volume and Issue: 12

Published: Oct. 23, 2024

This paper features a survey of the periodic property micro-electro-mechanical systems by homotopy perturbation method, variational iteration theory, He’s frequency formulation, and Taylor series method. Fractal MEMS are also introduced, future prospective is elucidated. The emphasis this min-review article put mainly on developments in last decade, so references, therefore, not exhaustive.

Language: Английский

Citations

4
Novel solutions and stability of quaternion differential equations: symmetry and asymmetry analyses using matrix representation and Lyapunov methods DOI Creative Commons
Prasantha Bharathi Dhandapani,

Anthony Raj Abraham,

Hijaz Ahmad

et al.

Applied Mathematics in Science and Engineering, Journal Year: 2025, Volume and Issue: 33(1)

Published: Jan. 3, 2025

The article demonstrates the novel solutions available for several QDEs and offers incredible promise investigation of quaternion differential equations (QDEs). This result is likely due to matrix representation strategy use Picard–Lindelöf theorem, which an important consequence traditional ordinary (ODE) formulations. Using this numerical calculation aid research, authors rightly point out that there a feasible QDE solution. Furthermore, goes beyond direct proof its existence digs into analysis stability solution, was obtained. In particular, appropriate Lyapunov determine asymptotic QDE. study adds depth understanding provides fundamental insights their absorbed dynamics. particular manuscript examines symmetry asymmetry aspects QDEs, possibly investigating how these properties manifest themselves in solving implicit situations Through examples, architects describe methods through behaviours exhibited by revealing elegant mathematical architecture inherent situations. By Homotopy Pertubation method Li–He modified Perturbation method, are provided. general, fully contributes conceptual framework associated with providing new unique existence, stability,

Language: Английский

Citations

0
The vibration of micro-circular ring of ceramic with viscothermoelastic properties under the classical Caputo and Caputo-Fabrizio of fractional-order derivative DOI Creative Commons
Eman A. N. Al-Lehaibi

Frontiers in Physics, Journal Year: 2025, Volume and Issue: 12

Published: Jan. 6, 2025

This work introduces a novel mathematical framework for examining the thermal conduction characteristics of viscothermoelastic, isotropic micro-circular ring. The foundation model is Kirchhoff’s theory love plates. governing equations have been developed by using Lord and Shulman’s generalized thermoelastic model. For viscothermoelasticity material, Young’s modulus incorporates an additional fractional derivative consideration such as classical Caputo Caputo-Fabrizio types, alongside normal derivative. outer bounding plane thermally loaded ramp-type heating. Laplace transform has applied its inverse obtained numerically. Graphical comparisons between definitions ordinary derivatives were incorporated into study. objective was to study impacts order on vibration distribution ceramic ring obtain results. It ascertained that resonator thickness no discernible effect waves; nevertheless, ramp heat parameter identified having significant impact. resonator’s thickness, impact mechanical wave. demonstrated effectively regulates energy damping in resonators.

Language: Английский

Citations

0