University of TehranJournal of Computational Applied Mechanics2423-671355220240401Analyzing the Thermoelastic Responses of Biological Tissue Exposed to Thermal Shock Utilizing a Three-Phase Lag Theory1441649431110.22059/jcamech.2023.366355.886ENAshraf M.ZenkourDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt0000-0002-0883-8073Tariq SaeedDepartment of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, EgyptFinancial Mathematics and Actuarial Science (FMAS)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaAmal M. AatiDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, College of Arts and Science in Rijal Alma and the Applied branch, King Khalid University, Abha 61421, Saudi ArabiaJournal Article20231007This article presents a mathematical analysis of thermoelastic skin tissue using an improved thermal conduction theory known as the refined three-phase-lag (TPL) theory. By accounting for the effects of multiple time derivatives, this advanced model provides a more accurate representation of how skin tissue behaves under different temperature conditions. The thin skin tissue is considered to have mechanically clamped surfaces, which are assumed to be one-dimensional. Furthermore, the skin tissue experiences a thermal shock load on its outer surface while maintaining a constant temperature on its inner surface. The proposed model has led to the derivation of certain generalized thermoelasticity theories in previous studies. The Laplace transform and its associated numerical inversion method are employed to calculate the distributions of temperature, displacement, dilatation, and stress in the system. The obtained outcomes are explicitly depicted to analyze the significant influences on the distributions of the field variables. These findings shed light on the behavior of skin tissue when subjected to a particular temperature distribution at the boundary condition, enhancing our knowledge in this area.https://jcamech.ut.ac.ir/article_94311_d7b2d2a964371cbe702265995bcb0e4f.pdfUniversity of TehranJournal of Computational Applied Mechanics2423-671355220240401Elastostatic behaviour of functionally graded porous beams: novel Kuhn Tucker conditions with R program for mathematical computing1651839580410.22059/jcamech.2024.371356.945ENGeetha Narayanan KannaiyanFaculty of computer science and multimedia, Lincoln university college, MalaysiaDepartment of Mathematics, Dayananda Sagar College of Engineering, Bengaluru 560078, India0000-0001-5245-6008Vivekanandam BalasubramaniamFaculty of computer science and multimedia, Lincoln university college, Malaysia0000-0002-5534-2142Journal Article20240120Pores affect functionally graded materials. Further characteristics may be added if pores expand from the surface to the interior. Functionally graded porous beam (FGPB) bending response is analyzed using a specific shear shape function that accounts for both uniform and uneven porosity distributions. Power law changes the material characteristics of FGPBs with uniform and uneven porosity distributions along length and thickness. In order to determine the maximum transverse deflections, axial stresses, transverse shear stresses, and normal stresses in simply-supported and clamped-clamped beams, numerical calculations are performed with various gradation exponents, aspect ratios (L/h), and porosity levels (both even and uneven). The obtained results are compared with earlier investigations and justified.https://jcamech.ut.ac.ir/article_95804_ad37921771ee833429d53d9f81a7c184.pdfUniversity of TehranJournal of Computational Applied Mechanics2423-671355220240401Efficient Kinematic model for Stability Analysis of Imperfect Functionally Graded Sandwich Plates with Ceramic middle layer and Varied Boundary Edges1842009589910.22059/jcamech.2024.371464.947ENAbdelkader TamrabetDepartment of Civil Engineering, Faculty of Technology, University of Ferhat Abbas, Setif 19137, Algeria.Research Unit of Emerging Materials, University of Ferhat Abbas, Setif 19137, Algeria.0009-0003-3149-6352Chitour MouradDepartment of Mechanical Engineering, Faculty of Science and Technology, Abbes Laghrour University, Khenchela 40000, Algeria.0009-0009-9087-680XNimer Ali AlselamiCivil Engineering Department, College of Engineering, Jazan University, Jazan 114, Saudi Arabia.0009-0003-3149-6352Abderahmane MenasriaDepartment of Civil Engineering, Faculty of Science and Technology, Abbes Laghrour University, Khenchela 40000, Algeria.Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, Djillali Liabes University, Sidi Bel Abbes 22000, Algeria.0009-0008-3507-0128Belgacem MamenDepartment of Civil Engineering, Faculty of Science and Technology, Abbes Laghrour University, Khenchela 40000, Algeria.Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, Djillali Liabes University, Sidi Bel Abbes 22000, Algeria.ICOSI Lab, Faculty of Science and Technology, Abbes Laghrour University, Khenchela 40000, Algeria.0000-0003-2342-9363Abdelhakim BouhadraDepartment of Civil Engineering, Faculty of Science and Technology, Abbes Laghrour University, Khenchela 40000, Algeria.Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, Djillali Liabes University, Sidi Bel Abbes 22000, Algeria.0000-0003-0752-976XJournal Article20240121The present paper introduces an efficient higher-order theory to analyze the stability behavior of porous functionally graded sandwich plates (FGSPs) resting on various boundary conditions. The FG sandwich plate comprises two porous FG layers, face sheets, and a ceramic core. The material properties in the FGM layers are assumed to change across the thickness direction according to the power-law distribution. To satisfy the requirement of transverse shear stresses vanishing at the top and bottom surfaces of the FGSP, a trigonometric shear deformation theory containing four variables in the displacement field with indeterminate integral terms is used, and the principle of virtual work is applied to describe the governing equation than it solved by Navier solution method for simply supported boundaries. However, an analytical solution for FGSPs under different boundary conditions is obtained by employing a new shape function, and numerical results are presented. Furthermore, validation results show an excellent agreement between the proposed theory and those given in the literature. In contrast, the influence of several geometric and mechanical parameters, such as power-law index, side-to-thickness, aspect ratio, porosity distribution, various boundary conditions, loading type, and different scheme configurations on the critical buckling, is demonstrated in the details used in a parametric study.https://jcamech.ut.ac.ir/article_95899_e3e9df3d3a97817fb9c91ccb42e1172c.pdfUniversity of TehranJournal of Computational Applied Mechanics2423-671355220240401Vibration Behaviour of Shear Deformable Laminated Plates Composed of Non-Homogeneous Layers2012089612710.22059/jcamech.2024.373173.985ENAbdullah SofiyevDepartment of Mathematics, Istanbul Ticaret University, Beyoglu, 34445 Istanbul, TurkeyScientific Research Department of Azerbaijan University of Architecture and Construction, Baku 1073, AzerbaijanScientific Research Centers for Composition Materials of UNEC Azerbaijan State Economic University, Baku 1001, Azerbaijan0000-0001-7678-6351Tarkan VergülDepartment of Structural Engineering, Engineering Faculty, Istanbul Ticaret University, 34445 Beyoglu/Istanbul, Turkey0000-0001-6492-6070Isa KhalilovDepartment of Machine Design and Industrial Technologies, Azerbaijan Technical University, H. Javid Ave. 25, AZ1073, Baku, Azerbaijan0000-0001-5026-5742Journal Article20240226The free vibration behavior of laminated plates consisting of non-homogenous orthotropic layers is presented. First, the mechanical properties of laminated plates composed of non-homogenous (NH) orthotropic layers are modelled. After establishing the basic relations of laminated plates within shear deformation theory (SDT), governing equations are derived in the framework of Donnell type plate theory. The solution of the governing equations is carried out by the Galerkin method and the analytical expression is found for the linear frequency of plates composed of non-homogenous orthotropic layers. Finally, the influences of various factors such as shear stresses, non-homogeneity, number and arrangement of layers on the frequency of rectangular plates are examined.https://jcamech.ut.ac.ir/article_96127_eeaa6b44a57f83d4f9a23c8e9fb10784.pdfUniversity of TehranJournal of Computational Applied Mechanics2423-671355220240401Effect of Porosity on the Static Response of Rotating and Non-Rotating Porous Timoshenko Beam2092229624210.22059/jcamech.2024.372984.976ENShashi ChichkhedeDepartment of Mechanical Engineering, National Institute of Technology Raipur and 492011, India0009-0002-1380-8511Deepak MahapatraDepartment of Agriculture Engineering, Indira Gandhi Krishi Vishwavidyalaya, Raipur and 492011, India0000-0003-3845-2216Shubhashish SanyalDepartment of Mechanical Engineering, National Institute of Technology Raipur and 492011, India0000-0001-5435-630xShubhankar BhowmickDepartment of Mechanical Engineering, National Institute of Technology Raipur and 492011, India0000-0001-9799-8724Journal Article20240222This study aims to determine the effect of porosity on the static response of rotating and non-rotating porous beam. Timoshenko beam theory has been used and the governing equation has been solved via B-spline collocation technique. The material distribution is a function of power law along the height of the beam, even and uneven distribution of porosity has been considered. The parameter such as power index, porosity coefficient and rotational speed have been varied. Deflection and stress variation has been plotted for even and uneven distribution of porosity for relative study. The outcome reveals that effect of even distribution of porosity is higher than uneven porosity. The study also shows that rotation of the beam has significant impact on the deflection and stress distribution of the beam and also reveals that porous beams can be used where high strength and low stiffness is required.https://jcamech.ut.ac.ir/article_96242_83c82e27cf292d4ee6a231a2672af65c.pdfUniversity of TehranJournal of Computational Applied Mechanics2423-671355220240401Material Nonlinear Static Analysis of Axially Functionally Graded Porous Bar Elements2232349610110.22059/jcamech.2024.373099.980ENŞeref DoğuşcanAkbaşBursa Technical University, Mimar Sinan Campus, Bursa, 16310, Turkey0000-0001-5327-3406Journal Article20240225This investigation presents material nonlinear analysis of a cantilever bar element made of functionally graded material with porosity properties. The material properties of bar element are considered as changing though axial direction based on the Power-Law distribution and uniform porosity distribution. The stress-strain relation of the material is considered as a nonlinear property according to a Power-Law function. The cantilever bar element is subjected to a point load at the free end. In order to obtain more realistic solution for the nonlinear problem and axially material distribution, nonlinear finite element method is used. In the obtaining of finite element equations, the virtual work principle is used and, after linearization step, the tangent stiffness matrix and residual vector are obtained. In the nonlinear solution process, the incremental force method is implemented and, each load step, the nonlinear equations are solved by using the Newton-Raphson iteration method. In the numerical results, effects of material nonlinearity parameters, porosity coefficients, material distribution parameter and aspect ratios on nonlinear static deflections of the bar are presented and discussed. The obtained results show that the material nonlinear behaviour of the bar element is considerably affected with porosity and material graduation.https://jcamech.ut.ac.ir/article_96101_03c6a2b0aa6ac0500426a380db00e2ba.pdfUniversity of TehranJournal of Computational Applied Mechanics2423-671355220240401Variational principle for Schrödinger-KdV system with the M-fractional derivatives2352419644510.22059/jcamech.2024.374235.1012ENMan-Li JiaoSchool of Science, Xi'an University of Architecture and Technology, Xi’an, China0000-0000-0000-0000JI-Huan HeNational Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University,199 Ren-Ai Road, Suzhou, China0000-0002-1636-0559Chun-Hui HeSchool of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, P. R. China0000-0001-0002-0004Abdulrahman Ali AlsolamiDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia0000-0000-0000-0000Journal Article20240322The variational theory is an inextricable part of both continuum mechanics and physics, and plays an important role in mathematics and nonlinear science, however it is difficult to find a variational formulation for a nonlinear system, and it is more difficult for a fractional differential system. This paper is to search for a variational formulation for the Schrödinger-KdV system with M-fractional derivatives. The fractional complex transformation is used to convert the system into a traditional differential system, and the semi-inverse method is further applied to establish a needed variational principle.https://jcamech.ut.ac.ir/article_96445_730c6de04038a98c76548fbc25c93455.pdfUniversity of TehranJournal of Computational Applied Mechanics2423-671355220240401Nonlinear Dynamic Stability Analysis of Axially Moving CNTRC Piezoelectric Viscoelastic Nano/Micro Plate Based on MCST2422749538410.22059/jcamech.2023.367406.896ENPezhman SouraniDepartment of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, IranAli Ghorbanpour AraniDepartment of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, IranInstitute of Nanoscience & Nanotechnology University of Kashan, Kashan, Iran0000-0001-5754-0786Mohammad HashemianDepartment of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr/Isfahan, IranShahriar NiknejadDepartment of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, IranJournal Article20231030Analyzing the nonlinear dynamic stability of axially moving carbon nanotube reinforced composite (CNTRC) piezoelectric viscoelastic nano/micro plate under time dependent harmonic biaxial loading is the purpose of the present study. The nano/micro plate is made from Polyvinylidene Fluoride (PVDF). It moves in the positive direction of the x-axis at a constant velocity and supported by a nonlinear viscoelastic piezoelectric foundation (Zinc Oxide). A viscoelastic material is assumed in the Kelvin-Voigt model. Nano/micro plate is exposed to electric potential, 2D magnetic field and uniform thermal gradient. Maxwell's relations are used to integrate magnetic field effects. The nano/micro plate as well as smart foundation are subjected to electric potential in thickness direction. The effective elastic properties are estimated using the Eshelby-Mori-Tanaka approach. Von-Kármán's theory provides the basis for the nonlinear strain-displacement relationship. According to various shear deformation plate theories, a novel formulation is presented that incorporates surface stress effects via Gurtin-Murdoch elasticity theory. A modified couple stress theory (MCST) is used in order to consider small scale parameter. It is possible to derive the governing equations by using the energy method and Hamilton's principle. An analysis is conducted using Galerkin procedure and finally the incremental harmonic balance method (IHBM) to obtain the dynamic instability region (DIR). Among the parameters that will be examined are small-scale parameter, alternating and direct applied voltages, magnetic field intensity, surface effects as well as axially moving speed. The results demonstrate that increasing the axial speed of the nano/micro plate causes the system to become more unstable. As a result, if the smart foundation is considered, in addition to increasing the excitation frequency, the area of the instability zone will also decrease by at least 50%. It is estimated that in a static state (not moving), the area of the instability zone is reduced by more than 70%.https://jcamech.ut.ac.ir/article_95384_b93c12e083934ce441ac03f3df48ffaf.pdfUniversity of TehranJournal of Computational Applied Mechanics2423-671355220240401Vibration analysis of the Gamma-Ray element in the ELI-NP interaction chamber (IC)2752889647010.22059/jcamech.2024.374576.1024ENSorin VlaseDepartment of Mechanical Engineering, Transilvania University of Brasov, B-dul Eroilor nr.29, Brasov, 500036, Romania0000-0000-0000-0000Calin ItuDepartment of Mechanical Engineering, Transilvania University of Brasov, Romania0000-0000-0000-0000Marin MarinDepartment of Mathematics and Computer Science, Transilvania University of Brasov, RomaniaAcademy of Romanian Scientists, Ilfov Street 3, 050045 Bucharest, Romania0000-0000-0000-0000Maria Luminta ScutaruDepartment of Mechanical Engineering, Transilvania University of Brasov, Romania0000-0000-0000-0000Florin SabouDepartment of Medical and Surgical Specialties, Transilvania University of Brasov, Romania0000-0000-0000-0000Radu NeculaDepartment of Medical and Surgical Specialties, Transilvania University of Brasov, Romania0000-0000-0000-0000Journal Article20240301The influence of vibrations on the position of the target in the interaction chamber of the ELI-NP facility represents an important element in any experiment with gamma beam rays. Also, several detection systems are provided around the interaction chamber for tracking the nuclear reactions that occur inside the interaction chamber. They are fixed with very high precision in relation to the interaction chamber. In addition to tracking the gamma ray beam, it must to know with great precision the position of the sample holder and of these detectors placed in laboratory. The precision required for a gamma-ray experiment is determined by the size of the studied material. If there is enough target material, then the precision is not important, but if we have a very small amount of material, then precision becomes significant. For a common experiment, accuracy is considered satisfactory for a value of 2μm. The paper analyzes the influence of anthropogenic and natural vibrations on the position of the target, located at the end of a guide beam.https://jcamech.ut.ac.ir/article_96470_b0b467c28c804ffc9ef8c3defb7d6959.pdfUniversity of TehranJournal of Computational Applied Mechanics2423-671355220240401Deflection, buckling and vibration analyses for a sandwich nanocomposite structure with foam core reinforced with GPLs and SMAs based on TSDBT2893219664910.22059/jcamech.2024.374370.1017ENM. Arabzadeh-ZiariDepartment of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran P.O. Box 87317-531530009-0001-3076-2909M. MohammadimehrDepartment of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran P.O. Box 87317-531530000-0002-2975-4514E. Arabzadeh-ZiariDepartment of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran P.O. Box 87317-531530009-0008-7408-8355M. AsgariDepartment of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran P.O. Box 87317-531530009-0009-3447-7644Journal Article20240326The purpose of this research is to investigate deflection, buckling and vibration for a five-layer sandwich nanocomposite beam, with reinforcements of graphene platelets (GPLs) and shape memory alloys (SMAs), and a foam core. To predict the behavior of the beam, theoretical formulations are derived based on the third order shear deformation beam theory (TSDBT). In order to check the validity and accuracy of the present work, the obtained results are compared with the results of other works and there is a good compatibility between them. It is concluded from this research that by using foam as the core, the weight of the structure is reduced, and also, the use of GPLs and SMAs as a reinforcement in the beam structure increases the stiffness and the equivalent elasticity modulus, so the ratio of strength to the weight of the structure increases. As a result of which the deflection decreases, the critical buckling load and the natural vibration frequencies of the beam increase. For example, it can be seen in the results that by increasing the volume fraction of GPL from 0 to 0.03, the deflection of the beam decreases by 44% and the first natural frequency of vibration and the critical buckling load increase by 31% and 79%, respectively.https://jcamech.ut.ac.ir/article_96649_8a746342a4b4dc6785a0c88c763d6d21.pdf