... properties of materials stress analysis functionally graded materials Modern engineering applications are moving toward multi-physics domain. Case in point: a rocket nozzle needs to handle high pressure and high temperature simultaneously or a helicopter rotor blade that needs to be tailored...

... for functionally graded materials (FGMs). where ( ξ , η ) denote intrinsic coordinates in the interval [−1] and ( ξ i , η i ) denote the local coordinates of node i . Figures 1( a ) and 1( b ) show the plane Q4 and QM6 elements, respectively, in a physical space. The added quadratic displacement...

...] Suresh , S. , and Mortensen , A. , 1998 , Fundamentals of Functionally Graded Materials , IOM Communications Ltd. , London, UK . [3] Ng , T. Y. , Lam , K. Y. , Liew , K. M. , and Reddy , J. N. , 2001 , “ Dynamic Stability Analysis of Functionally Graded Cylindrical Shells...

... obtained in the present paper are tractable, and they allow for further parametric studies. The inhomogeneity constant is a useful parameter from a design point of view in that it can be tailored for specific applications to control the stress distribution. vibration functionally-graded materials...

...Zifeng F. Yuan; Huiming M. Yin In this work, Green’s functions for unbounded elastic domain in a functionally graded material with a quadratic variation of elastic moduli and constant Poisson’s ratio of 0.25 are derived for both two-dimensional (2D) and three-dimensional (3D) cases...

...Linhui Zhang; Jeong-Ho Kim This paper provides full asymptotic crack-tip field solutions for an antiplane (mode-III) stationary crack in a functionally graded material. We use the complex variable approach and an asymptotic scaling factor to provide an efficient procedure for solving standard...

...Youn-Sha Chan; Glaucio H. Paulino; Albert C. Fannjiang A Mode-III crack problem in a functionally graded material modeled by anisotropic strain-gradient elasticity theory is solved by the integral equation method. The gradient elasticity theory has two material characteristic lengths ℓ and ℓ...

...H. M. Yin; G. H. Paulino; W. G. Buttlar; L. Z. Sun By means of a fundamental solution for a single inhomogeneity embedded in a functionally graded material matrix, a self-consistent model is proposed to investigate the effective thermal conductivity distribution in a functionally graded particulate...

...Marek-Jerzy Pindera; Glaucio H. Paulino 24 07 2008 boundary-value problems cracks elastic moduli elasticity fracture mechanics functionally graded materials Professor Fazil Erdogan has influenced several generations of applied and solid mechanicians working in the area...

...Jeong-Ho Kim; Amit KC The interaction integral method that is equipped with the nonequilibrium formulation is generalized to evaluate the nonsingular T -stress as well as mixed-mode stress intensity factors in orthotropic functionally graded materials under thermomechanical loads. This paper...

... arising from practical functionally graded material applications can be handled. Moreover, the boundary integral algorithm scales well with the number of processors, also helping to alleviate the high computational cost of evaluating the Green’s functions. For axisymmetric plane strain states...

...Bora Yıldırım; Suphi Yılmaz; Suat Kadıoğlu The objective of this study is to investigate a particular type of crack problem in a layered structure consisting of a substrate, a bond coat, and an orthotropic functionally graded material coating. There is an internal crack in the orthotropic coating...

...Alpay Oral; John Lambros; Gunay Anlas In this work, quasistatic crack initiation under mixed mode loading in planar (two-dimensional plane stress) functionally graded materials (FGMs) is studied. The goal of this work is to directly compare experiments and simulations so as to evaluate...

... to be in qualitative agreement with the observed ones. The simulations also reveal differences in the energy dissipation in the two functionally graded material (FGM) cases. T -stresses and hence the crack-tip constraint are significantly different. Prior to crack initiation, larger negative T -stresses near the crack...

...Serkan Dag; K. Ayse Ilhan This article presents analytical and computational methods for mixed-mode fracture analysis of an orthotropic functionally graded material (FGM) coating-bond coat-substrate structure. The analytical solution is developed by considering an embedded crack in the orthotropic...

... is most likely to crack. 30 05 2007 02 11 2007 10 07 2008 cracks functionally graded materials internal stresses loading mechanical contact plates (structures) thin films thin film contact stress functionally graded material cover plate stress intensity factor...

...Kwang Ho Lee; Vijaya Bhaskar Chalivendra; Arun Shukla Thermomechanical stress and displacement fields for a propagating crack in functionally graded materials (FGMs) are developed using displacement potentials and asymptotic analysis. The shear modulus, mass density, and coefficient of thermal...

.... S. , and Parks , W. P. , 1995 , “ Review: Modelling Studies Applied to Functionally Graded Materials ,” J. Mater. Sci. 0022-2461 10.1007/BF01184560 , 30 , pp. 2183 – 2193 . Lambros , J. , Santare , M. H. , Li , H. , and Sapna III , G. H. , 1999 , “ A Novel...

...Marcio A. A. Cavalcante; Severino P. C. Marques; Marek-Jerzy Pindera In Part I of this communication, the finite-volume theory for functionally graded materials was further extended to enable efficient analysis of structural components with curved boundaries, as well as efficient modeling...

...Marcio A. A. Cavalcante; Severino P. C. Marques; Marek-Jerzy Pindera The recently reconstructed higher-order theory for functionally graded materials is further enhanced by incorporating arbitrary quadrilateral subcell analysis capability through a parametric formulation. This capability...