Author
A. Chakraborty
Other affiliations: General Motors
Bio: A. Chakraborty is an academic researcher from Indian Institute of Science. The author has contributed to research in topics: Finite element method & Wave propagation. The author has an hindex of 17, co-authored 31 publications receiving 1474 citations. Previous affiliations of A. Chakraborty include General Motors.
Papers
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TL;DR: In this article, a beam element based on first-order shear deformation theory is developed to study the thermoelastic behavior of functionally graded beam structures, and the stiffness matrix has super-convergent property and the element is free of shear locking.
521 citations
TL;DR: In this article, a spectral finite element method is employed to analyse the wave propagation behavior in a functionally graded (FG) beam subjected to high frequency impulse loading, which can be either thermal or mechanical.
167 citations
Book•
05 Dec 2007
TL;DR: In this paper, a theory of anisotropic and inhomogenous materials and solution techniques for wave propagation in one-dimensional and two-dimensional inhomogeneous materials is presented.
Abstract: Introduction Introduction to theory of anisotropic and inhomogenous materials Idealization of wave propagation and solution techniques Wave propagation in one-dimensional anisotropic structures Wave propagation in one-dimensional inhomogenous structures Wave propagation in two-dimensional anisotropic structures Wave propagation in two-dimensional inhomogenous structures Solution of inverse problems: source and system identification Application of SFEM to SHM: simplified damage models Application of SFEM to SHM: efficient damage detection techniques Spectral finite element mehod for active wave control
124 citations
TL;DR: In this article, a locking free first-order shear deformable finite element is presented, and its utility in solving free vibration and wave propagation problems in laminated composite beam structures with symmetric and asymmetric ply stacking is demonstrated.
119 citations
TL;DR: In this paper, a pseudospectral method for wave propagation analysis in anisotropic and inhomogeneous structures is presented. And the method is implemented in the same way as conventional finite element method and tested successfully on a variety of problems involving isotropic, orthotropic and functionally graded material structures.
70 citations
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TL;DR: Diverse areas relevant to various aspects of theory and applications of FGM include homogenization of particulate FGM, heat transfer issues, stress, stability and dynamic analyses, testing, manufacturing and design, applications, and fracture.
Abstract: This paper presents a review of the principal developments in functionally graded materials (FGMs) with an emphasis on the recent work published since 2000. Diverse areas relevant to various aspects of theory and applications of FGM are reflected in this paper. They include homogenization of particulate FGM, heat transfer issues, stress, stability and dynamic analyses, testing, manufacturing and design, applications, and fracture. The critical areas where further research is needed for a successful implementation of FGM in design are outlined in the conclusions. DOI: 10.1115/1.2777164
1,008 citations
TL;DR: In this article, a beam element based on first-order shear deformation theory is developed to study the thermoelastic behavior of functionally graded beam structures, and the stiffness matrix has super-convergent property and the element is free of shear locking.
521 citations
TL;DR: In this paper, the dynamic characteristics of functionally graded beam with material graduation in axially or transversally through the thickness based on the power law are presented. But the model is more effective for replacing the non-uniform geometrical beam with axially and transversely uniform geometrically graded beam.
458 citations
TL;DR: In this article, a unified approach for analyzing the static and dynamic behaviors of functionally graded beams (FGB) with the rotary inertia and shear deformation included is presented, where all material properties are arbitrary functions along the beam thickness.
450 citations
TL;DR: In this article, a non-classical microbeam model incorporating the material length scale parameter was proposed to capture the size effect of the FG microbeams and the governing equations and the related boundary conditions were derived using Hamilton's principle.
424 citations