University of Tehran PressJournal of Computational Applied Mechanics2423-671356320250701Comparative Analysis of Magnetohydrodynamic Inclined Poiseuille Flow of Couple Stress Fluids53656010221310.22059/jcamech.2025.391765.1402ENMuhammadFarooqDepartment of Mathematics, Abdul Wali Khan University, Mardan, KP, 23200, PakistanAtiq UrRahmanDepartment of Mathematics, Abdul Wali Khan University, Mardan, KP, 23200, PakistanAsfandyarKhanDepartment of Mathematics, Abdul Wali Khan University, Mardan, KP, 23200, PakistanIlkerOzsahinOperational Research Center in Healthcare, Near East University, 99138, Nicosia/TRNC Mersin 10, TurkeyBernaUzunOperational Research Center in Healthcare, Near East University, 99138, Nicosia/TRNC Mersin 10, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Near East University, 99138, Nicosia/TRNC Mersin 10, TurkeyHijazAhmadOperational Research Center in Healthcare, Near East University, 99138, Nicosia/TRNC Mersin 10, TurkeyDepartment of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, South Korea0000-0002-5438-5407Journal Article20250308In this paper, the inclined Poiseuille flow of a couple stress fluid between two parallel plates under the influence of a magnetic field is investigated using two analytical techniques: the Homotopy Analysis Method (HAM) and the Optimal Auxiliary Function Method (OAFM). The effects of various non-dimensional parameters on the velocity profile, temperature distribution, shear stresses, and flow rate are analyzed in detail. The solutions obtained from HAM and OAFM are compared through graphical and tabular representations, including residual error analysis. The results demonstrate that OAFM provides a more efficient and accurate solution than HAM. Ultimately, we conclude that both methods are effective in solving highly nonlinear differential equations and complex physical models.https://jcamech.ut.ac.ir/article_102213_5236f2f36d114f8b7d35d8b016ea25ab.pdfUniversity of Tehran PressJournal of Computational Applied Mechanics2423-671356320250701Heat and Mass Transfers on the Chemically Reactive Thermosolutal Convective Flow of Rivlin-Ericksen Fluid over a Porous Medium with Viscous Dissipation Effect56158610224810.22059/jcamech.2025.396491.1498ENA. MMohamadDepartment of Mathematical & Physical Sciences, University of Nizwa, OmanDhananjayYadavDepartment of Mathematical & Physical Sciences, University of Nizwa, Oman0000-0001-8404-2053Mukesh KumarAwasthiDepartment of Mathematics, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, India0000-0002-6706-5226RaviRagojuDepartment of Applied Sciences, National Institute of Technology Goa, Goa, 403401, India0000-0002-5068-5170MohammadHassanDepartment of Mathematics and Scientific Computing, Madan Mohan Malaviya University of Technology, Gorakhpur-273010, UP, India0000-0001-6786-0492Journal Article20250601Chemically reacting flows of non-Newtonian fluids through porous media have numerous medical and industrial applications, including targeted drug delivery, polymer processing, and extrusion operations. In these contexts, convective heat transfer is a critical mechanism that must be accurately predicted. This article analyzes the thermosolutal convection of a chemically reactive Rivlin-Ericksen fluid in a porous medium, accounting for viscous dissipation, using both linear and nonlinear stability approaches. The nonlinear analysis is performed using a truncated Fourier series method, while the linear stability is examined via the normal mode technique. It is found that oscillatory convection occurs only when the solutal Rayleigh-Darcy number is negative. The range of this number that allows oscillatory convection depends on several physical parameters. An increase in the Rivlin-Ericksen parameter, the modified heat capacity ratio, and the Péclet number reduces this range, whereas a higher Lewis number expands it. Moreover, the Lewis number, solutal Rayleigh-Darcy number, and Gebhart number accelerate the onset of convective waves, while the Rivlin-Ericksen parameter and the modified heat capacity ratio delay it. Additionally, both convective heat and mass transfer rates decrease with increasing Rivlin-Ericksen parameter and modified heat capacity ratio, but they increase with higher values of the thermal and solutal Rayleigh-Darcy numbers, the Lewis number, the chemical reaction parameter, the Péclet number, and the Gebhart number.https://jcamech.ut.ac.ir/article_102248_ab47b542f580ccee635cdd11ef442a12.pdfUniversity of Tehran PressJournal of Computational Applied Mechanics2423-671356320250701Comparative Study of Non-Isothermal Poiseuille Flow of Couple Stress Fluid in Reynolds Model Between Inclined Plates Using Two Homotopy-Based Methods58760110221410.22059/jcamech.2025.392399.1415ENMuhammadFarooqDepartment of Mathematics, Abdul Wali Khan University, Mardan, KP, 23200, PakistanRashidNawazUniSa STEM, University of South AustraliaAlamgeerKhanDepartment of Mathematics, Abdul Wali Khan University, Mardan, KP, 23200, PakistanFaridoonShahidDepartment of Mathematics, Abdul Wali Khan University, Mardan, KP, 23200, PakistanIlkerOzsahinOperational Research Center in Healthcare, Near East University, 99138, Nicosia/TRNC Mersin 10, TurkeyBernaUzunOperational Research Center in Healthcare, Near East University, 99138, Nicosia/TRNC Mersin 10, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Near East University, 99138, Nicosia/TRNC Mersin 10, TurkeyHijazAhmadOperational Research Center in Healthcare, Near East University, 99138, Nicosia/TRNC Mersin 10, TurkeyDepartment of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, South Korea0000-0002-5438-5407Journal Article20250320This work examines the Poiseuille flow of the Reynolds model's non-isothermal couple stress fluid between heated inclined plates. Using the Optimal Homotopy Asymptotic Method with DJ Polynomials (OHAM-DJ) and the Asymptotic Homotopy Perturbation method (AHPM), the strongly non-linear system of ordinary differential equations have been studied. The AHPM and OHAM-DJ have been used to approximate the results for the velocity profile, shear stress, temperature distributions, average velocity and volume flux. It is important to note that the outcomes obtained from these two methods closely resemble one another. In addition to being shown graphically, the impact of various factors on the flow problem have been investigated mathematically.https://jcamech.ut.ac.ir/article_102214_f3c5d95cee7afa8e3b56c83f8eb8568e.pdfUniversity of Tehran PressJournal of Computational Applied Mechanics2423-671356320250701Variational approach to optimal control constrained by fractal-fractional differential equations60261010230510.22059/jcamech.2025.396838.1504ENYueChengSchool of Information Engineering, Yango University, Fuzhou 350015, ChinaJia-HongZhuSchool of Information Engineering, Yango University, Fuzhou 350015, ChinaPeng-BinLuoSchool of Information Engineering, Yango University, Fuzhou 350015, ChinaYueShenSchool of Science, Xi'an University of Architecture and Technology, Xi’an 710055, ChinaJI-HuanHeSoochow UniversitySchool of Jia Yang, Zhejiang Shuren University, Shaoxing 312028, ChinaDepartment of Mathematical Sciences, Saveetha School of Engineering, SIMATS, Chennai, Tamil Nadu, India0000-0002-1636-0559Journal Article20250606The extant corpus of literature pertaining to optimal control problems with partial differential equation (PDE) constraints is extensive. This paper introduces a novel variational approach to optimal control problems constrained by fractal-fractional differential equations. Utilizing the shallow water wave as a case study, the semi-inverse method is employed to establish the variational formulation. This approach not only exemplifies a novel mode of thinking but also has significant ramifications for the field. This novel approach to optimal control paves a promising path for further research and provides researchers and practitioners with a novel perspective and potential avenues for further exploration. By exploring this alternative approach, researchers and practitioners can develop a more profound understanding of the fundamental nature of optimal control problems and identify more effective solutions for a wide range of applications.https://jcamech.ut.ac.ir/article_102305_05c7813f5e6a9a14fd4b1f088361cb18.pdfUniversity of Tehran PressJournal of Computational Applied Mechanics2423-671356320250701A spatial decay estimates for a thermoelastic Cosserat body without energy dissipation61162610230810.22059/jcamech.2025.396902.1506ENMarinMarinDepartment of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, RomaniaAcademy of Romanian Scientists, Ilfov Street, 3, 050045 Bucharest, RomaniaM.M.BhattiDepartment of Physics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, Republic of KoreaO.M.HapenciucDepartment of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, RomaniaS.PirlogDepartment of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, RomaniaJournal Article20250607A cylinder with a prismatic structure is considered and this is "filled" with a thermoelastic material with the Cosserat structure. It is supposed that on the lateral surface of the cylinder there are no body forces, or body couple nor heat supply. But, on the base of cylinder, a microrotation is given, which is time-dependent, a displacement, which is also time-dependent, and a thermal displacement is also prescribed. All these loads are assumed to be harmonic functions in time and from their corroborated action, the movement of the body under consideration is induced. We will define a measure associated with the vibration that corresponds to the steady state. Assuming that there is a certain critical frequency and we can suppose that any excitation frequency is lower than the critical one, we will be able to obtain an estimation regarding the spatial decay.https://jcamech.ut.ac.ir/article_102308_031369bb68f6b229602205f3bdbf1229.pdfUniversity of Tehran PressJournal of Computational Applied Mechanics2423-671356320250701A novel frequency formula and its application for a bead sliding on a wire in fractal space62764010241110.22059/jcamech.2025.396203.1494ENGuang-QingFengSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454003, China0000-0001-7851-1458Abdulrahman AliAlsolamiDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia0000-0002-8189-4987Journal Article20250528The present study investigates the frequency-amplitude relationship of a nonlinear oscillator in fractal space, focusing on the dynamics of a bead sliding along a rotating wire with inhomogeneous angular velocity. Utilizing the two-scale fractal theory, the original fractal differential equation is transformed into an equivalent linear damped system in continuous space, thereby enabling the derivation of an exact analytical solution that does not rely on perturbation methods. A novel frequency formula is proposed that integrates fractal parameters and system constants. The establishment of these expressions is achieved through the application of energy conservation principles and Taylor series approximations, thereby providing explicit expressions for the fractal parameters. Numerical simulations were conducted to verify the analytical results and to demonstrate the influence of the parameters on damping behavior and oscillation profiles. The proposed framework is a versatile analytical tool for the study of fractal-mediated dynamics in mechanical systems, with potential applications in resonant engineering and multiscale materials design.https://jcamech.ut.ac.ir/article_102411_a553028df57eab58d05b12462b411d64.pdfUniversity of Tehran PressJournal of Computational Applied Mechanics2423-671356320250701Free vibration, Buckling and Bending investigation of bidirectional FG curved sandwich beams64166210241210.22059/jcamech.2025.397052.1507ENMohamedSekkalMaterial and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, AlgeriaUniversity Ahmed Zabana of Relizane, AlgeriaWafaTebbouneDepartment of Civil Engineering, Faculty of Architecture and Civil Engineering, University of Sciences and Technology Mohamed Boudiaf, Oran 31000, AlgeriaOuahibaTalebUniversity Belkaïd Abou Bekr of Tlemcen, AlgeriaRabbabBachir BouiadjraMaterial and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria0000-0001-6639-6288SamirBenyoucefMaterial and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria0000-0001-6639-6288AbdelouahedTounsiMaterial and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, AlgeriaDepartment of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi ArabiaDepartment of Civil and Environmental Engineering, Lebanese American University, 309 Bassil Building, Byblos, Lebanon0000-0002-5601-3228Journal Article20250609The present work is focused on the bending, buckling and free vibration analysis of BDFG (bidirectional functionally graded) sandwich beams using a quasi-3D analytical solution. The present formulation is based on a displacement field that includes indeterminate terms and involves a few variables to define. The BDFG beam consists of functionally graded (FG) skins at the bottom and top with isotopic core in the middle. The materials characteristics of the skins are continuously distributed through the thickness and the length of the beam based on a specified power law. The governing equations of the simply supported curved beam are derived using the principal of virtual works and are then solved utilizing the Navier solution. The exactness of the proposed formulation is assessed by checking their numerical results with other of reliable publications available in the literature. A detailed numerical study is presented in order to investigate the impact of several parameters such grading indexes, radius of curvature, sandwich type, BDFG beam geometry and other setting on the buckling, bending and free vibration of curved BDFG beam.https://jcamech.ut.ac.ir/article_102412_7a9eb77b1d902d0b32ef88122806373c.pdfUniversity of Tehran PressJournal of Computational Applied Mechanics2423-671356320250701A Fluid Dynamics-based Modified Murray Law for Hierarchical Vein Networks in Lotus Leaves: Geometry, Transport Mechanism and Biological Implications66367210241510.22059/jcamech.2025.397360.1514ENYan-PingLiuCollege of Petrochemical Engineering and Environment, Zhejiang Ocean University, Zhoushan, 316022, Zhejiang, ChinaJI-HuanHeSchool of Jia Yang; Zhejiang Shuren University, Hangzhou; Zhejiang, ChinaSchool of Information Engineering, Yango University, Fuzhou 350015, ChinaSchool of Mathematics and Big Data, Hohhot Minzu College, Hohhot, Inner Mongolia 010051, ChinaDepartment of Mathematical Sciences, Saveetha School of Engineering, SIMATS, Chennai, Tamil Nadu, India0000-0002-1636-0559Journal Article20250617Lotus leaf is famous for its so-called lotus effect, which has evoked many advanced biomimetic designs, especially for surface’s wetting properties, its tree-like veins are also a source of brilliant innovations. The geometry of the veins is similar to that of blood vessels, where Murray’s law can elucidate the branched structure. However, the law is not valid for the lotus’ vein structure. Here we find a new law to reveal the geometry, and its biological understanding is elucidated, furthermore Murray’s law is a special case of the new found law. Our findings may be of great biological and technological importance, especially in plant ecology, urban traffic planning, watershed planning, and chemical engineering.https://jcamech.ut.ac.ir/article_102415_7e361def49d8d13f2bd9eb13ffdf4833.pdfUniversity of Tehran PressJournal of Computational Applied Mechanics2423-671356320250701Magneto-electro vibration analysis of a moderately thick double-curved sandwich panel with porous core and GPLRC using FSDT67369310241410.22059/jcamech.2025.395958.1491ENMohammad AliMohammadimehrDepartment of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran, Postcode:87317-53153AbbasLoghmanDepartment of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran, Postcode:87317-53153SaeedAmirDepartment of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran, Postcode:87317-531530000-0001-6673-9690MehdiMohammadimehrDepartment of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran, Postcode:87317-531530000-0002-2975-4514EhsanArshidFaculty of Engineering, Mahallat Institute of Higher Education, Mahallat, IranÖmerCivalekChina Medical University Hospital, China Medical University, Taichung, TaiwanJournal Article20250524In the present study, the magneto-electro vibration analysis of a moderately thick double-curved sandwich panel with porous core and graphene platelets reinforced composite (GPLRC) based on the nonlocal strain gradient theory (NSGT) is investigated. The displacement field of a moderately thick double-curved sandwich panel is considered as the first-order shear deformation theory (FSDT). The equations of motion are derived using Hamilton's principle and these equations are solved by Navier's method. The effect of various parameters, including magnetic and electric fields, aspect ratio, core-to-face thickness ratio, volume fraction of GPLs, different porosity distributions, various GPLs distributions, and curvature radius on the dimensionless natural frequencies of a moderately thick doubly-curved sandwich panel is examined. In this research, the sandwich structures become consist of two thin face sheets with high strength and a thick, soft, and flexible core with low density, because the scientists follow to enhance the strength to weight in the sandwich structures that these structures are used in various industries. In this article, the doubly-curved sandwich panel includes cylindrical, spherical, and elliptical shapes. The main finding of this research is that the dimensionless natural frequency reaches its maximum value at .https://jcamech.ut.ac.ir/article_102414_6288223da59e5363fc1f08db0494b200.pdfUniversity of Tehran PressJournal of Computational Applied Mechanics2423-671356320250701A Comprehensive Parametric Analysis of Geometric Effects on the Natural Frequencies of Auxetic and Honeycomb Beams69471010244110.22059/jcamech.2025.395352.1475ENS. Mohammad RezaKhaliliCenter of Research for Composite and Smart Materials and Structures, Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran0000-0001-8810-5410JavanshirLotfiCenter of Research for Composite and Smart Materials and Structures, Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran0009-0005-8060-0173PuneetMahajanDepartment of Applied Mechanics, Indian Institute of Technology- Delhi, New Delhi, IndiaJournal Article20250515This paper Presents a comprehensive finite element method (FEM) study of the free vibration behavior of auxetic and honeycomb beams, using Euler–Bernoulli beam theory (EBBT). For the first time, a systematic parametric analysis is conducted to investigate the impact of unit cell (UC) geometry, including connection angle, link length, and thickness, on the natural frequency of both beam types by considering more than 22,000 different UC geometries. In this regard, a novel and adjustable UC design is employed to directly compare the auxetic and honeycomb configurations. The study also explores the influence of UC row numbers and orientations on the natural frequency of these beams. The results declare that variations in each of them lead to nonlinear increases or decreases in natural frequencies. As well, for most cases under identical conditions, the natural frequencies for honeycomb beams are found to be higher than those for auxetic beams. These findings address a significant gap in the literature and provide valuable insights for the design of lightweight, vibration-resistant structures in applications such as aerospace, automotive, and smart systems. Furthermore, this work contributes to the advancement of parametric design in auxetic and honeycomb beams, offering a framework to support dynamic and vibration performance improvements in engineering applications.https://jcamech.ut.ac.ir/article_102441_b97edf184b6154293ebef402af228c0d.pdf