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In this paper, a non-uniform rational B-spline based iso-geometric finite element method is used to study the static and dynamic characteristics of functionally graded material (FGM) plates. The material properties are assumed to be graded…

In this paper, the effect of local defects, viz., cracks and cutouts on the buckling behaviour of functionally graded material plates subjected to mechanical and thermal load is numerically studied. The internal discontinuities, viz.,…

Numerical Analysis · Mathematics 2013-11-14 S Natarajan , S Chakraborty , M Ganapathi , M Subramaniam

In this paper, the linear free flexural vibration of cracked functionally graded material plates is studied using the extended finite element method. A 4-noded quadrilateral plate bending element based on field and edge consistency…

Numerical Analysis · Mathematics 2011-07-21 S Natarajan , PM Baiz , S Bordas , T Rabczuk , P Kerfriden

In this paper, a cell based smoothed finite element method with discrete shear gap technique is employed to study the static bending, free vibration, mechanical and thermal buckling behaviour of functionally graded material (FGM) plates.…

Numerical Analysis · Mathematics 2013-06-21 S Natarajan , AJM Ferreira , S Bordas , E Carrera , M Cinefra , AM Zenkour

To improve predictive models for STEM applications, supplemental physics-based features computed from input parameters are introduced into single and multiple layers of a deep neural network (DNN). While many studies focus on informing DNNs…

Emerging Technologies · Computer Science 2024-09-02 Nicholus R. Clinkinbeard , Nicole N. Hashemi

Machine learning (ML) and deep learning (DL) techniques have gained significant attention as reduced order models (ROMs) to computationally expensive structural analysis methods, such as finite element analysis (FEA). Graph neural network…

Machine Learning · Computer Science 2023-09-25 Yuecheng Cai , Jasmin Jelovica

A rectangular plate of dielectric elastomer exhibiting gradients of material properties through its thickness will deform inhomogeneously when a potential difference is applied to compliant electrodes on its major surfaces, because each…

Soft Condensed Matter · Physics 2020-12-08 Yipin Su , Ray W. Ogden , Michel Destrade

We investigate the nonlinear vibrations of a functionally graded dielectric elastomer plate subjected to electromechanical loads. We focus on local and global dynamics in the system. We employ the Gent strain energy function to model the…

Soft Condensed Matter · Physics 2024-06-28 Amin Alibakhshi , Sasan Rahmanian , Michel Destrade , Giuseppe Zurlo

Design and analysis of inelastic materials requires prediction of physical responses that evolve under loading. Numerical simulation of such behavior using finite element (FE) approaches can call for significant time and computational…

Materials Science · Physics 2025-07-08 Indrashish Saha , Ashwini Gupta , Lori Graham-Brady

We have developed an image-based convolutional neural network (CNN) that is applicable for quantitative time-resolved measurements of the fragmentation behavior of opaque brittle materials using ultra-high speed optical imaging. This model…

Materials Science · Physics 2024-07-19 Erwin Cazares , Brian E. Schuster

Dense suspensions often exhibit shear thickening, characterized by a dramatic increase in viscosity under large external forcing. This behavior has recently been linked to the formation of a system-spanning frictional contact network (FCN),…

Soft Condensed Matter · Physics 2025-02-04 Armin Aminimajd , Joao Maia , Abhinendra Singh

In this paper, the bending and the free flexural vibration behaviour of sandwich functionally graded material (FGM) plates are investigated using QUAD-8 shear flexible element developed based on higher order structural theory. This theory…

Numerical Analysis · Mathematics 2012-04-11 S. Natarajan , M. Ganapathi

Deep neural networks (DNN) have been used successfully in many scientific problems for their high prediction accuracy, but their application to genetic studies remains challenging due to their poor interpretability. In this paper, we…

Machine Learning · Computer Science 2021-10-01 Peyman H. Kassani , Fred Lu , Yann Le Guen , Zihuai He

The local geometrical randomness of metal foams brings complexities to the performance prediction of porous structures. Although the relative density is commonly deemed as the key factor, the stochasticity of internal cell sizes and shapes…

Machine Learning · Computer Science 2022-11-04 Da Chen , Nima Emami , Shahed Rezaei , Philipp L. Rosendahl , Bai-Xiang Xu , Jens Schneider , Kang Gao , Jie Yang

In this paper, the linear free flexural vibrations of functionally graded material plates with a through center crack is studied using an 8-noded shear flexible element. The material properties are assumed to be temperature dependent and…

Numerical Analysis · Mathematics 2011-07-21 S Natarajan , PM Baiz , M Ganapathi , P Kerfriden , S Bordas

We study the bending of a book-like system, comprising a stack of elastic plates coupled through friction. The behavior of this layered system is rich and nontrivial, with a non-additive enhancement of the apparent stiffness and a…

Soft Condensed Matter · Physics 2021-06-02 Samuel Poincloux , Tian Chen , Basile Audoly , Pedro Reis

This paper investigates nonlinear bending and buckling behaviours of composite plates characterized by a thickness variation. Layer interfaces are described as functions of inplane coordinates. Top and bottom surfaces of the plate are…

Computational Engineering, Finance, and Science · Computer Science 2016-04-06 T. Le-Manh , Q. Huynh-Van , Thu D. Phan , Huan D. Phan , H. Nguyen-Xuan

In this paper, the flutter behaviour of simply supported square functionally graded material plates immersed in a supersonic flow is studied. An enriched 4-noded quadrilateral element based on field consistency approach is used for this…

Numerical Analysis · Mathematics 2012-03-14 S Natarajan , M Ganapathi , S Bordas

A recently developed nonlinear analytical model for axially loaded thin-walled stringer-stiffened plates based on variational principles is extended to include local buckling of the main plate. Interaction between the weakly stable global…

Materials Science · Physics 2014-09-23 M. A. Wadee , M. Farsi

One of the obstacles hindering the scaling-up of the initial successes of machine learning in practical engineering applications is the dependence of the accuracy on the size of the database that "drives" the algorithms. Incorporating the…

Computational Engineering, Finance, and Science · Computer Science 2021-06-09 Wei Li , Martin Z. Bazant , Juner Zhu
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