Article
Mechanics
Shanhong Ren, Changzheng Cheng, Bo Yu, Zeng Meng, Bowei Huang, Qiaoguo Wu
Summary: This paper proposes new refined higher-order shear deformation theories (RHSDTs) for functionally graded plates. The theories describe the initial displacement using higher-order theories and determine the in-plane stress fields using geometrical and constitutive relations. By incorporating tangential stress-free conditions and defining new variables, the transverse shear stress expressions without differential variables are obtained. These refined theories can better predict the mechanical responses of functionally graded plates.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Materials Science, Multidisciplinary
Sambhaji Lore, Aditya S. Deshpande, Bhrigu Nath Singh
Summary: This paper presents the nonlinear free vibration behavior and response of functionally graded plates and shell panels under various boundary conditions. The displacement formulation used a sinusoidal non-polynomial quasi-3D higher order shear deformation theory with six variables, and parabolic transverse stress distribution functions were used to model stresses in the thickness direction. The numerical implementation employed an eight-noded C-0 continuous isoparametric finite element and MATLAB. The results obtained for the nonlinear free vibration response of the spherical, cylindrical, and hyperboloid shell panels showed good agreement with the literature, demonstrating the effectiveness and accuracy of the present work.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
Zhenghao Yang, Erkan Oterkus, Selda Oterkus
Summary: A novel peridynamic model for higher order functional graded plates is presented in this paper, eliminating the use of shear correction factors and demonstrating its capabilities through various benchmark problems. The results are well-validated by comparing them with their finite element analysis counterparts.
MATHEMATICS AND MECHANICS OF SOLIDS
(2021)
Article
Mechanics
M. M. Keleshteri, J. Jelovica
Summary: This study investigates the nonlinear free and forced vibration behavior of functionally graded porous beams considering high-order bidirectional porosity distributions. The results show that the proposed porosity distributions are more effective than the conventional ones, and beams with more voids at the center have the lowest amplitude of vibration.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
R. Ansari, M. Zargar Ershadi, A. Mirsabetnazar
Summary: This paper investigates the thermally induced vibrations of functionally graded material (FGM) beams subjected to cooling shocks. The beams are made of a mixture of stainless steel (SUS304) and low-carbon steel (AISI1020). The Reddy beam theory (RBT) is used to model the displacement field, and the temperature and material distribution are considered to analyze the material properties. The effect of various parameters on the lateral deflection of the higher-order beam under two types of thermal loading is studied through numerical analysis.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Mechanics
Prashik Malhari Ramteke, Subrata Kumar Panda, Brijesh Patel
Summary: This study examines the eigenfrequency characteristics of the doubly-curved FG panel with multi-directional grading influence and geometrical large deformation. A mathematical model is established using HSDT mid-plane kinematics and Green Lagrange nonlinear strain terms, with finite element technique for discretization and Hamilton's principle for governing equation. A MATLAB computer code is developed for calculating nonlinear frequencies, validated and tested for convergence, showcasing the influence of various design parameters on nonlinear eigenfrequency parameters.
COMPOSITE STRUCTURES
(2022)
Article
Mechanics
Quoc-Hoa Pham, Phu-Cuong Nguyen, Trung Thanh Tran
Summary: The main goal of this study is to investigate the dynamic response of sandwich nanoplates with a porous functionally graded (PFG) core using isogeometric analysis (IGA) and higher-order shear deformation theory (HSDT). The small-scale effect in nanostructures is taken into account by employing the nonlocal elasticity theory. The proposed method is validated by comparing the numerical results with published works, and some examples are conducted to examine the influence of parameters on the dynamic response of the sandwich nanoplates with the PFG core.
COMPOSITE STRUCTURES
(2022)
Article
Construction & Building Technology
Zakaria Belabed, Mahmoud M. Selim, Omar Slimani, Noureddine Taibi, Abdelouahed Tounsi, Muzamal Hussain
Summary: This study presents a simple and efficient higher order shear deformation theory for free vibration analysis of functionally graded shells, which reduces the number of unknowns and governing equations by introducing undetermined integral terms in the displacement field. The theory, derived using Hamilton's principle and Navier's method, provides closed form solutions and is compared with other theories to demonstrate its efficiency and accuracy. Various parameters including material distribution, geometrical configuration, thickness, and curvature ratios are studied to understand their impact on the free vibration responses of FG shells.
STEEL AND COMPOSITE STRUCTURES
(2021)
Article
Computer Science, Interdisciplinary Applications
Vinyas Mahesh, Dineshkumar Harursampath
Summary: This article proposes a finite-element formulation based on higher order shear deformation theory (HSDT) to evaluate the nonlinear frequency characteristics of carbon nanotube reinforced magneto-electro-elastic (CNTMEE) plates. The effects of electro-magnetic circuits on the nonlinear coupled behavior of CNTMEE plates are investigated for the first time in the literature. The study reveals the influence of coupling fields on the nonlinear frequency response of CNTMEE plates by considering different forms of CNT distributions and adjusting parameters.
ENGINEERING WITH COMPUTERS
(2022)
Article
Mechanics
Suiyin Chen, Rong Geng, Wenxiong Li
Summary: This paper extends the higher-order shear deformable mixed beam element model with rational shear stress distribution to vibration analysis of functionally graded (FG) beams, and the numerical results show that the mixed beam element model performs significantly better in vibration frequencies compared to other models. Rational distribution of transverse shear stress is crucial for achieving high-precision solutions in vibration analysis of FG sandwich beams.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Multidisciplinary
Youn-Sha Chan, Edward Athaide
Summary: This study investigates the constitutive equations for functionally graded materials (FGMs) under the strain gradient elasticity theory (SGET). The interaction between material gradation and the nonlocal effect of the strain gradient leads to more complex and intricate constitutive equations. The governing partial differential equations (PDEs) derived from the balance law of linear momentum also appear to be highly complicated. Assuming the material gradation is exponential, a simpler set of governing PDEs can be obtained. Solutions to these PDEs are discussed for different modes of crack problems.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Engineering, Civil
Van-Thien Tran, Trung-Kien Nguyen, Phong T. T. Nguyen, Thuc P. Vo
Summary: This paper proposes a unified higher-order shear deformation theory for stochastic vibration and buckling analysis of functionally graded microplates. The effects of different parameters on the critical buckling loads and natural frequencies of the microplates are investigated using the polynomial chaos expansion method and probability distribution. The results demonstrate the efficiency and accuracy of the proposed approach.
THIN-WALLED STRUCTURES
(2022)
Article
Mechanics
Behnam Daraei, Saeed Shojaee, Saleh Hamzehei-Javaran
Summary: In this study, thermo-mechanical analysis of functionally graded material beams using micropolar theory is conducted based on the higher-order model in the framework of the Carrera unified formulation (CUF). The analysis considers the nonhomogeneous mechanical and thermal properties of the beams and takes into account the effect of the nonlinear temperature rise profile. Numerical examples demonstrate the influence of thermal loadings, power law indexes, orders of expansion and boundary conditions on the results. The equations can be applied to analyze beam structures in macro-, micro-, and nano-scale by considering micropolar couple stress and micro-rotation effects.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Mechanics
Francisco Yapor Genao, Jinseok Kim, Krzysztof Kamil Zur
Summary: In this study, a nonlinear finite element model for functionally graded porous micro-plates is developed based on the general third-order shear deformation plate theory and the modified couple stress theory. The model accounts for von Karman nonlinear strains, power-law variation of material constituents, porosity distributions, temperature-dependent properties, and length scale dependency. A parametric study demonstrates the effects of material and porosity parameters, temperature and length scale dependencies, and boundary conditions on deflections and stress distributions.
COMPOSITE STRUCTURES
(2021)
Article
Multidisciplinary Sciences
Muhittin Turan, Gokhan Adiyaman
Summary: A new higher-order finite element method is proposed for the static analysis of two-directional functionally graded porous beams based on parabolic shear deformation theory. This method can accurately and rapidly predict the deflections and stresses of 2D FG porous and non-porous beams. The sinusoidal uneven distribution function is presented for the first time in this study. The new higher-order finite element gives accurate results for the deflections and stresses of 2D FG non-porous or porous beams subjected to various boundary conditions.
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
(2023)
Article
Engineering, Mechanical
Abhilash Karakoti, Mahesh Podishetty, Shashank Pandey, Vishesh Ranjan Kar
Summary: This study presents, for the first time, the effects of porosity and skew edges on the transient response of functionally graded material (FGM) sandwich plates. The study uses a layerwise finite element formulation and considers two configurations of FGM sandwich plates. The results show that parameters such as skew angle, porosity coefficient, volume fraction index, core to facesheet thickness ratio, and boundary conditions significantly impact the transient response of FGM sandwich plates. The developed finite element formulation is found to be simple and accurate.
JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN
(2023)
Article
Thermodynamics
S. S. Rathore, V. R. Kar, Sanjay
Summary: This paper presents a comparative study on the thermodynamic performance of a marine gas turbine engine, LM 2500, featuring directionally solidified nickel superalloy blades versus novel ceramic-matrix composite (CMC) blades. Mathematical modeling and coding in C++ language were conducted to analyze the effects of turbine inlet temperature on thermodynamic efficiencies, coolant mass flow rates, and work ratios on the two systems. The exergy analysis suggests that adopting CMC blades in the LM 2500 system can significantly improve the first law efficiency and work ratio.
INTERNATIONAL JOURNAL OF ENGINE RESEARCH
(2023)
Article
Engineering, Civil
Abhilash Karakoti, Shashank Pandey, Vishesh Ranjan Kar
Summary: The present work develops a simple and accurate finite element formulation based on C-0 continuity of transverse displacement for obtaining and comparing the nonlinear transient response of porous functionally graded material (FGM) sandwich plates and shell panels. Through validation and parametric studies, it is observed that the amplitude of the nonlinear transient response due to different blast loading can be controlled by selecting optimal parameters.
THIN-WALLED STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
Shyam Kumar Chaudhary, Vishesh Ranjan Kar, Karunesh Kumar Shukla
Summary: This article presents a nonlinear flexural analysis of perforated functionally graded composite panels under heat conduction and various pressure conditions. The study utilizes a geometrically nonlinear mathematical model with higher-order shear-deformation kinematics. The temperature-dependent elastic and thermal properties are computed using Voigt's homogenization scheme, and the equilibrium equations are derived through isoparametric finite element approximations.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Mechanics
Samarjeet Kumar, Vishesh Ranjan Kar
Summary: This article investigates the thermoelastic behavior of axially graded composite plates and doubly-curved panels subjected to conductive-convective boundary and uniformly distributed loading conditions. The material properties of the graded panel are determined using the power-law-based Voigt's scheme, and material and geometric nonlinearities are accounted for. The temperature profile is obtained through thermally nonlinear theory, and the weak forms of motion and heat-transfer equations are derived for finite element approximation. Transient responses are computed using numerical schemes, and the coupled model is validated with analytical and experimental results.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Engineering, Mechanical
Kamal Kishore Joshi, Vishesh Ranjan Kar
Summary: This study investigates the elastoplastic behavior of multidirectional functionally graded composite panels with different porosities. Elastic properties are determined using modified multi-variable power-law functions, while the Tamura-Tomota-Ozawa (TTO) model is used for elastoplastic properties. To account for geometrical nonlinearity, a first-order shear deformation theory-based von Karman strain kinematics is employed, and von Mises yield criterion with bilinear isotropic strain hardening is used for material nonlinearity. The governing equation is obtained through the variational principle and solved using 2D isoparametric finite element approximations and the Newton-Raphson iterative technique. The accuracy of the model is validated by comparing with reported results, and the load-deflection responses of the composite panels are presented and discussed.
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY-TRANSACTIONS OF MECHANICAL ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Samarjeet Kumar, Vishesh Ranjan Kar
Summary: This work presents a transient heat transfer analysis of nonhomogeneous functionally graded structures with porosity. The material properties vary in the transverse direction and the effective material properties are calculated using Voigt's micromechanical scheme and a power law. Randomly oriented porosities with even distribution across the gradation direction are considered. In-plane heat flux and Dirichlet boundary conditions are applied. The transient heat transfer response of a porous transverse graded plate is computed using ANSYS APDL software. The proposed model is verified through comparison with experimental and analytical results. Numerical examples are provided to illustrate the effect of the power law and porosity index on the transient response of transverse graded panels.
INTERNATIONAL JOURNAL OF ADVANCES IN ENGINEERING SCIENCES AND APPLIED MATHEMATICS
(2023)
Article
Materials Science, Multidisciplinary
Samarjeet Kumar, Vishesh Ranjan Kar
Summary: This study focuses on the nonlinear fully-coupled thermoelastic solutions of bidirectional porous functionally graded doubly-curved panels. The effects of curvature ratio, power-law, and porosity indices on the deflections and temperature-profile are demonstrated. Mixed hardening/softening nonlinearity behaviors are observed for the coupled thermoelastic responses of bidirectional FGM curved panels.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Materials Science, Composites
Mrityunjay Kumar, Souvik Singh Rathore, Vishesh Ranjan Kar, Madan Lal Chandravanshi
Summary: This article examines the non-linear free vibration behavior of sandwich composite panels with sinusoidal corrugations. By modeling and optimizing various parameters, the non-linear frequencies under different conditions are obtained.
POLYMER COMPOSITES
(2023)
Article
Materials Science, Multidisciplinary
B. A. Khudayarov, F. Turaev, Vishesh R. Kar, A. A. Verlan
Summary: This paper investigates the nonlinear flutter phenomenon of viscoelastic three-layer plates and shallow shells with a structure asymmetrical in thickness under a supersonic gas flow. Mathematical models are developed for the flutter of viscoelastic three-layer plates, cylindrical panels, and shells with a structure asymmetrical in thickness under a supersonic gas flow. The flutter of viscoelastic three-layer plates is studied in both linear and nonlinear formulations, and the critical flutter velocities of elongated plates are compared with previous studies conducted under an elastic formulation. Furthermore, the flutter of viscoelastic three-layer plates and cylindrical panels with a rigid filler that resists transverse shear under an external supersonic flow is investigated, revealing a 25-40% increase in flutter velocity with an increase in the flexural rigidity of the bearing layers of three-layer structures.
INTERNATIONAL JOURNAL OF COMPUTATIONAL MATERIALS SCIENCE AND ENGINEERING
(2023)
Article
Multidisciplinary Sciences
Swagatika Acharya, Vijay K. K. Mishra, Sumanta Chaudhuri, Jitendra Kumar Patel, Prakash Ghose, Vishesh Ranjan Kar
Summary: This study explores the application of a hybrid genetic algorithm (GA)-supervised Kohonen (SK) map in the decision support system for porous ceramic matrix (PCM)-based burners. Four selected features of the PCM are used to define the burner's operating regime, resulting in 16 distinct regime classifications. The hybrid GA-SK map is trained using the generated temperature profiles of the PCM, and is able to accurately predict the regime of operation for new PCM samples. Minor attributes of the hybrid GA-SK map are adjusted to improve the accuracy of regime prediction. The use of a hexagonal grid with eigen values initialization of weights achieves the highest average class prediction (acp) of 57.14%. A 10 x 10 network size with 300 epochs and eigen values weight initialization achieves a high optimization criterion of 0.79, while maintaining a high frequency of 0.6. This research aims to strengthen the hybrid GA-SK map approach for decision support in PCM-based burners.
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
(2023)
Article
Engineering, Civil
Souvik S. Rathore, Vishesh R. Kar
Summary: This study focuses on the dynamic analysis of thermal barrier coated straight and curved turbine blades, which are modeled as functionally graded sandwich panels in a thermal environment. The findings reveal that the functionally graded sandwich composite blade is made up of a functionally graded face-sheet material and a metal alloy core, with temperature-dependent material properties. The overall properties are evaluated using Voigt's micromechanical scheme and the modified power-law functions. The blade model uses the equivalent single-layer shear deformation theory, and the equations of motion are derived using the extended Hamilton's principle and solved using 2D-isoparametric finite element approximations. Mesh refinement and validation tests are conducted to demonstrate the stability and accuracy of the model. Additionally, the frequency characteristics of the pre-twisted rotating sandwich blades are computed under various parametric conditions, providing useful insights for designing blade type structures for turbine operations.
STRUCTURAL ENGINEERING AND MECHANICS
(2023)
Article
Engineering, Aerospace
Shyam K. Chaudhary, Vishesh R. Kar, Karunesh K. Shukla
Summary: The article investigates the thermoelastic deformation behavior of inhomogeneous functionally graded metal/ceramic cylindrical shell structure with multiple perforations using 2D finite element approximation. The temperature-dependent elastic and thermal properties are evaluated using Voigt's micromechanical material scheme via power-law function. The proposed model is based on the equivalent single-layer first-order shear deformation mid-plane theory.
ADVANCES IN AIRCRAFT AND SPACECRAFT SCIENCE
(2023)
Article
Multidisciplinary Sciences
Souvik Singh Rathore, Vishesh Ranjan Kar, Sanjay
Summary: This paper presents the thermodynamic performance of state-of-the-art silicon carbide fiber-reinforced silicon carbide matrix composite (SiCf/SiC)-bladed gas turbines. The study compares two different gas turbine power systems: the basic gas turbine cycle and the intercooled gas turbine cycle. The results show that SiCf/SiC-bladed gas turbines require significantly less blade coolant and exhibit superior thermodynamic performance compared to traditional single-crystal superalloy-bladed systems. The performance maps indicate that replacing existing single-crystal superalloy blades with ceramic matrix composite blades would lead to improved thermodynamic efficiency, even at high firing temperatures.
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
(2023)
Article
Mechanics
Souvik Singh Rathore, Vishesh Ranjan Kar, Sanjay Sanjay
Summary: The nonlinear frequency responses of functionally graded (ceramic/metal/ceramic) straight/curved blade-type structures are investigated considering rotation and thermal effects. Geometrical nonlinearity is incorporated using Green-Lagrange's strain and higher-order shear deformation theory. The constituent materials are temperature-dependent, and the overall material properties are evaluated using Voigt's homogenization scheme with a modified power-law function. The linear and nonlinear frequency responses are computed using a nonlinear finite element method and Picard's successive iteration scheme, considering various geometric and material parameters.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
