Article
Engineering, Mechanical
M. C. Ray
Summary: This paper derives benchmark three-dimensional exact solutions for the static analysis of rectangular antisymmetric angle ply plates, showing that these solutions can be used for numerical results for any fiber orientation angle, but not for other angle-ply plates. It is also found that the first order shear deformation theory (FSDT) can be efficiently used for thin and two layered thick antisymmetric angle-ply plates, as compared to exact solutions.
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
(2021)
Article
Chemistry, Physical
Dorota Pawlus
Summary: This paper evaluates the static stability of complex, composite annular plates with auxetic properties, developing a plate model based on orthogonalization and finite difference methods. The study shows an increase in critical static loads with increasing absolute value of Poisson's ratio of auxetic facings.
Article
Engineering, Mechanical
Atteshamuddin S. Sayyad, Yuwaraj M. Ghugal
Summary: This paper presents higher order closed-formed analytical solutions for buckling analysis of functionally graded sandwich rectangular plates using a unified shear deformation theory. The study considers three-layered sandwich plates with functionally graded skins and isotropic core, and evaluates the governing equations using the principle of virtual work to obtain critical buckling load factors. Various parameters are considered in the numerical study to investigate the behavior of the plates under different conditions.
JOURNAL OF SANDWICH STRUCTURES & MATERIALS
(2021)
Article
Engineering, Aerospace
Mohammad Ali Naghsh, Saeid Sarrami-Foroushani, Mojtaba Azhari, Sajjad Mohajeri
Summary: This paper presents the buckling analysis of rectangular sandwich plates with pure polymeric tapered cores and functionally graded carbon nanotube reinforced composite face sheets under static and harmonic dynamic loads. The higher-order zigzag shear deformation theory and Bolotin's method were employed to analyze and study, demonstrating the accuracy and reliability of the approach.
AEROSPACE SCIENCE AND TECHNOLOGY
(2021)
Article
Engineering, Mechanical
Pham Van Vinh
Summary: This paper presents a comprehensive investigation of bi-directional functionally graded sandwich plates using higher-order shear deformation theory and finite element method for the first time. The results indicate that the variation in material ingredients and properties, as well as the thickness ratio of layers, significantly affect the behavior of these plates.
JOURNAL OF SANDWICH STRUCTURES & MATERIALS
(2022)
Article
Mechanics
Pham Van Vinh, Nguyen Van Chinh, Abdelouahed Tounsi
Summary: This paper investigates the static bending and buckling behaviors of bi-directional functionally graded (BFG) plates with porosity. An improved first-order shear deformation theory and a new four-node quadrilateral plate element IMQ4 are developed for analysis. New numerical results on the flexural and buckling behaviors of BFG plates are obtained through a deep parametric study.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Mechanics
Marco Amabili, J. N. Reddy
Summary: This study investigates the nonlinear mechanics of sandwich plates by using different deformation theories for face sheets and core, introducing 16 independent kinematic parameters. The results show that the introduction of thickness deformation parameters and geometric nonlinearities significantly impact the numerical simulation results of sandwich plates.
COMPOSITE STRUCTURES
(2021)
Article
Computer Science, Interdisciplinary Applications
Ali Shariati, Saeedeh Qaderi, Farzad Ebrahimi, Ali Toghroli
Summary: In this study, the buckling analysis of polymer composite plates reinforced with graphene platelets (GPLs) in a thermal environment is investigated using the higher-order shear deformation plate theory. The material properties of the multilayer polymer composite plate are determined using the Halpin-Tsai model. Four different patterns of GPL distribution in the composite plate are considered. The Euler-Lagrange equations of the composite plate are obtained using Hamilton's principle and Navier's method is used to analyze and solve the problem. The results of this study are verified by comparison with previous works, and the effects of various parameters such as geometry, GPL weight fraction, and temperature changes on the critical buckling temperature are explored.
ENGINEERING WITH COMPUTERS
(2022)
Article
Mechanics
Rosalin Sahoo, Bhrigu Nath Singh
Summary: The present study assesses a newly developed non-polynomial zigzag theory for the buckling analysis of laminated composite and sandwich plates. Results show that the theory is not only accurate but also efficient in predicting buckling responses of such structures.
ARCHIVE OF APPLIED MECHANICS
(2021)
Article
Engineering, Multidisciplinary
Bence Hauck, Andras Szekrenyes
Summary: This study explores several methods for computing the J-integral in laminated composite plate structures with delamination. It introduces two special types of plate finite elements and a numerical algorithm. The study presents compact formulations for calculating the J-integral and applies matrix multiplication to take advantage of plate transition elements. The models and algorithms are applied to case studies and compared with analytical and previously used finite element solutions.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Mechanics
Pham Van Vinh, Mohamed-Ouejdi Belarbi, Mehmet Avcar, Omer Civalek
Summary: The paper develops a novel, enhanced first-order mixed plate element (IMQ4) for static bending and free vibration analysis of functionally graded (FG) sandwich plates. The transverse shear stresses are enhanced by assuming a parabolic distribution shear stress. The proposed element, IMQ4, is free of shear-locking phenomenon and can be useful for analysis, design, and testing of FG structures. Detailed parametric analyses on factors such as layup scheme, power-law index, and side-to-thickness ratio are conducted to illustrate their impacts on the bending and free vibration of FG sandwich plates.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Mechanics
Mengzhen Li, Renjun Yan, Lin Xu, C. Guedes Soares
Summary: A novel unified framework of higher-order shear deformation theories for laminated and functionally graded plates is developed, aiming to unify existing theories and propose new models. By categorizing existing displacement fields and unifying different types of transverse displacements and shear strains, the study assesses and proposes new plate theories. Application of specific shear strain functions helps determine a new higher-order shear deformation theory that theoretically covers existing models and encourages further exploration of accurate plate theories.
COMPOSITE STRUCTURES
(2021)
Article
Chemistry, Physical
Vinayak Kallannavar, Subhaschandra Kattimani, Manzoore Elahi M. Soudagar, M. A. Mujtaba, Saad Alshahrani, Muhammad Imran
Summary: This study developed a prediction model using artificial neural network to investigate the impact of temperature and moisture on the vibration response of skew laminated composite sandwich plates. The numerical results were used to train the ANN, and several numerical examples were presented to comprehend the influence of temperature and moisture on the LCS plates.
Article
Mechanics
Babu Ranjan Thakur, Surendra Verma, B. N. Singh, D. K. Maiti
Summary: This paper investigates the effect of hygrothermal environment on dynamic analysis of folded laminated composite plates using nonpolynomial shear deformation theory and computationally efficient finite element method. Various analyses such as natural frequency, transient behavior, and steady-state response are conducted under different conditions, with displacement and stress plots provided. The model is compared and validated with existing literature and ANSYS APDL solutions, showing better performance for NPSDT.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Multidisciplinary
Chung -De Chen, Bing-Feng Huang
Summary: A novel higher-order refined zigzag theory (HRZT) is presented for solving the static bending problems of a sandwich composite beam with a soft core. The HRZT is able to preserve the advantages of the refined zigzag theory (RZT) on the modeling of the zigzag displacement, while improving the shear stress distributions that are continuous across the interface between two layers. The accuracy of HRZT is verified by comparing the results with finite element method (FEM) using commercial software.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Engineering, Civil
Balakrishna Adhikari, B. N. Singh
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2020)
Article
Mechanics
Puspa Ranjan Swain, Padmanav Dash, Bhirgu Nath Singh
Summary: This article conducts an exhaustive analysis on the transverse bending of piezoelectric integrated laminated composite plates with uncertain material properties, presenting a model that includes higher order rotation and shear terms. The study employs a direct iteration approach and perturbation method to handle nonlinearity and uncertainty, deriving useful conclusions for designers. The proposed procedure is validated through comparisons with published results.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2021)
Article
Mechanics
Rahul Kumar, Achchhe Lal, B. N. Singh, Jeeoot Singh
COMPOSITE STRUCTURES
(2020)
Article
Mechanics
Aakash Soni, Neeraj Grover, Gagandeep Bhardwaj, B. N. Singh
COMPOSITE STRUCTURES
(2020)
Article
Computer Science, Interdisciplinary Applications
Achutananda Parhi, B. N. Singh, Subrata K. Panda
Summary: The nonlinear eigenvalue responses of conical composite shell structure with cluster of multiple delaminations are investigated, considering the influence of moisture and elevated thermal environment. Various parameters affecting linear and nonlinear free vibration frequencies are analyzed, showing a reduction trend in fundamental frequency due to the presence of single/multi-delamination and moisture content.
ENGINEERING WITH COMPUTERS
(2021)
Article
Engineering, Aerospace
Prasant Kumar Swain, Narayan Sharma, Dipak Kumar Maiti, Bhrigu Nath Singh
JOURNAL OF AEROSPACE ENGINEERING
(2020)
Article
Mechanics
Prasant Kumar Swain, Dipak Kumar Maiti, Bhrigu Nath Singh
Summary: This research investigates the effect of damage on the flutter characteristics of laminated composite plate and proposes a passive control approach using an active fiber composite (AFC) layer. A finite element model is developed to calculate the flutter characteristics and incorporate the damage using anisotropic damage formulation. The study explores the potential of an AFC layer to enhance the lost flutter characteristics caused by damage.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Materials Science, Multidisciplinary
Appaso M. Gadade, Achchhe Lal, B. N. Singh
MATERIALS TODAY COMMUNICATIONS
(2020)
Article
Mathematics, Applied
Balakrishna Adhikari, B. N. Singh
APPLIED MATHEMATICS AND COMPUTATION
(2020)
Article
Mechanics
Rakesha Chandra Dash, Dipak Kumar Maiti, Bhrigu Nath Singh
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2020)
Article
Materials Science, Multidisciplinary
Narayan Sharma, Prasant Kumar Swain, D. K. Maiti, B. N. Singh
Summary: This paper discusses the impact of material and fabrication uncertainties on the natural frequencies of curvilinear fiber laminate. The sensitivity of input parameters to natural frequencies is analyzed using a high-dimensional model representation tool and compared to Monte Carlo simulation. Stochastic analysis of natural frequencies using polynomial neural network is performed, and the accuracy and efficiency of the network are evaluated.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Mechanics
Rosalin Sahoo, Bhrigu Nath Singh
Summary: The present study assesses a newly developed non-polynomial zigzag theory for the buckling analysis of laminated composite and sandwich plates. Results show that the theory is not only accurate but also efficient in predicting buckling responses of such structures.
ARCHIVE OF APPLIED MECHANICS
(2021)
Article
Mechanics
Babu Ranjan Thakur, Surendra Verma, B. N. Singh, D. K. Maiti
Summary: In this study, a computationally efficient C-0 finite element model along with the nonpolynomial shear deformation theory (NPSDT) was used to investigate the free and forced vibration behavior of laminated composite plates. The analysis involved deriving the nonlinear governing equations of motion and discretizing them for both steady state and transient analysis, with validation through numerical studies under various loading conditions and boundary conditions.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2021)
Article
Mechanics
Pabitra Maji, Bhrigu Nath Singh
Summary: 3D braided composite has unique properties attracting interest over laminated composites, and in this study, the equivalent material properties were computed using bridging models. 3D braided rotating cylindrical shell panels were manufactured using a 1 x 1 braided technique, and a third-order shear deformation (TSDT) with a twelve-degree per node was utilized. The accuracy of the finite element code was verified by comparing with existing results, and modal analysis was conducted for rotating cylindrical shells under different conditions.
COMPOSITE STRUCTURES
(2021)
Article
Mechanics
Pabitra Maji, Bhrigu Nath Singh, Durgesh Bahadur Singh
Summary: 3D braided composite is preferred over traditional composite due to its superior performance and accurate prediction ability. This study investigates the free vibration response of 3D braided curved panels using bridging models and finite element methods.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mathematics, Applied
Guo Zheng, Zengqiang Cao, Yuehaoxuan Wang, Reza Talemi
Summary: This study introduces two novel methods for predicting the fatigue response of Dynamic Cold Expansion (DCE) and Static Cold Expansion (SCE) open-hole plates. The accuracy of the prediction is enhanced by considering stress distributions and improving existing methods. The study also discusses the mechanisms behind fatigue life enhancement and fatigue crack propagation modes in cold expansion specimens.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Eric Heppner, Tomohiro Sasaki, Frank Trommer, Elmar Woschke
Summary: This paper presents a modeling approach for estimating the bonding strength of friction-welded lightweight structures. Through experiments and simulations, a method for evaluating the bonding strength of friction-welded lightweight structures is developed, and the plausibility and applicability of the model are discussed.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Piermario Vitullo, Alessio Colombo, Nicola Rares Franco, Andrea Manzoni, Paolo Zunino
Summary: Many applications in computational physics involve approximating problems with microstructure, characterized by multiple spatial scales in their data. However, these numerical solutions are often computationally expensive due to the need to capture fine details at small scales. Traditional projection based reduced order models (ROMs) fail to resolve these issues, even for second-order elliptic PDEs commonly found in engineering applications. To address this, we propose an alternative nonintrusive strategy to build a ROM, that combines classical proper orthogonal decomposition (POD) with a suitable neural network (NN) model to account for the small scales.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Chanh Dinh Vuong, Xiaofei Hu, Tinh Quoc Bui
Summary: In this paper, we present a dynamic description of the smoothing gradient-enhanced damage model for the simulation of quasi-brittle failure localization under time-dependent loading conditions. We introduce two efficient rate-dependent damage laws and various equivalent strain formulations to analyze the complicated stress states and inertia effects of the dynamic regime, enhancing the capability of the adopted approach in modeling dynamic fracture and branching.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Alexandre D. C. Amaro, A. Francisca Carvalho Alves, F. M. Andrade Pires
Summary: This study focuses on analyzing various deformation mechanisms that affect the behavior of PC/ABS blends using computational homogenization. By establishing a representative microstructural volume element, defining the constitutive description of the material phases, and modeling the interfaces and matrix damage, accurate predictions can be achieved. The findings have important implications for broader applications beyond PC/ABS blends.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
David Hoffmeyer, A. R. Damanpack
Summary: This paper introduces a method for determining all six stress components for a cantilever-type beam that is subjected to concentrated end loads. The method considers an inhomogeneous cross-section and employs cylindrically orthotropic material properties. The efficacy of the method is validated by numerical examples and a benchmark example, and the analysis on a real sawn timber cross-section reveals significant disparities in the maximum stresses compared to conventional engineering approaches.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Vladimir Stojanovic, Jian Deng, Dunja Milic, Marko D. Petkovic
Summary: The present paper investigates the dynamic analysis of a coupled Timoshenko beam-beam or beam-arch mechanical system with geometric nonlinearities. A modified p-version finite element method is developed for the vibrations of a shear deformable coupled beam system with a discontinuity in an elastic layer. The main contribution of this work is the discovery of coupled effects and phenomena in the simultaneous vibration analysis of varying discontinuity and varying curvature of the newly modelled coupled mechanical system. The analysis results are valuable and have broader applications in the field of solids and structures.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Gihwan Kim, Phill-Seung Lee
Summary: The phantom-node method is applied in the phase field model for mesh coarsening to improve computational efficiency. By recovering the fine mesh in the crack path domain into a coarse mesh, this method significantly reduces the number of degrees of freedom involved in the computation.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Souhail Chaouch, Julien Yvonnet
Summary: In this study, an unsupervised machine learning-based clustering approach is developed to reduce the computational cost of nonlinear multiscale methods. The approach clusters macro Gauss points based on their mechanical states, reducing the problem from macro scale to micro scale. A single micro nonlinear Representative Volume Element (RVE) calculation is performed for each cluster, using a linear approximation of the macro stress. Anelastic macro strains are used to handle internal variables. The technique is applied to nonlinear hyperelastic, viscoelastic and elastoplastic composites.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Hoang-Giang Bui, Jelena Ninic, Christian Koch, Klaus Hackl, Guenther Meschke
Summary: With the increasing demand for underground transport infrastructures, it is crucial to develop methods and tools that efficiently explore design options and minimize risks to the environment. This study proposes a BIM-based approach that connects user-friendly software with effective simulation tools to analyze complex tunnel structures. The results show that modeling efforts and computational time can be significantly reduced while maintaining high accuracy.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Aslan Nasirov, Xiaoyu Zhang, David Wagner, Saikumar R. Yeratapally, Caglar Oskay
Summary: This manuscript presents an efficient model construction strategy for the eigenstrain homogenization method (EHM) for the reduced order models of the nonlinear response of heterogeneous microstructures. The strategy relies on a parallel, element-by-element, conjugate gradient solver, achieving near linear scaling with respect to the number of degrees of freedom used to resolve the microstructure. The linear scaling in the number of pre-analyses required to construct the reduced order model (ROM) follows from the EHM formulation. The developed framework has been verified using an additively manufactured polycrystalline microstructure of Inconel 625.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Atticus Beachy, Harok Bae, Jose A. Camberos, Ramana V. Grandhi
Summary: Emulator embedded neural networks leverage multi-fidelity data sources for efficient design exploration of aerospace engineering systems. However, training the ensemble models can be costly and pose computational challenges. This work presents a new type of emulator embedded neural network using the rapid neural network paradigm, which trains near-instantaneously without loss of prediction accuracy.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Arash Hajisharifi, Michele Girfoglio, Annalisa Quaini, Gianluigi Rozza
Summary: This paper introduces three reduced order models for reducing computational time in atmospheric flow simulation while preserving accuracy. Among them, the PODI method, which uses interpolation with radial basis functions, maintains accuracy at any time interval.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
D. Munoz, S. Torregrosa, O. Allix, F. Chinesta
Summary: The Proper Generalized Decomposition (PGD) is a Model Order Reduction framework used for parametric analysis of physical problems. It allows for offline computation and real-time simulation in various situations. However, its efficiency may decrease when the domain itself is considered as a parameter. Optimal transport techniques have shown exceptional performance in interpolating fields over geometric domains with varying shapes. Therefore, combining these two techniques is a natural choice. PGD handles the parametric solution while the optimal transport-based methodology transports the solution for a family of domains defined by geometric parameters.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Jothi Mani Thondiraj, Akhshaya Paranikumar, Devesh Tiwari, Daniel Paquet, Pritam Chakraborty
Summary: This study develops a diffused interface CPFEM framework, which reduces computational cost by using biased mesh and provides accurate results using non-conformal elements in the mesh size transiting regions. The accuracy of the framework is confirmed through comparisons with sharp and stepped interface results.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
