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In this paper a new integral equation solution to the elastic-plastic problem of functionally graded bars under torsional loading is presented. The formulation is general in the sense that it can be applied to an arbitrary cross-section…

Numerical Analysis · Mathematics 2017-05-30 George C. Tsiatas , Nick G. Babouskos

We develop a strain gradient plasticity formulation for composite materials with spatially varying volume fractions to characterize size effects in functionally graded materials (FGMs). The model is grounded on the mechanism-based strain…

Materials Science · Physics 2018-07-27 Tittu V. Mathew , Sundararajan Natarajan , Emilio Martínez-Pañeda

We investigate the numerical implementation of functionally graded properties in the context of the finite element method. The macroscopic variation of elastic properties inherent to functionally graded materials (FGMs) is introduced at the…

Computational Physics · Physics 2019-01-18 Emilio Martínez-Pañeda

Functionally graded materials (FGMs) are two-phase composites with continuously changing microstructure adapted to performance requirements. Traditionally, the overall behavior of FGMs has been determined using local averaging techniques or…

Materials Science · Physics 2011-08-31 Zahra Sharif-Khodaei , Jan Zeman

Functionally Graded Material (FGM) is a type of advanced material consisting of two (or more) distinct substances with a constantly changing composition profile. FGM technologies have moved from their traditional use to advanced micro and…

The nonlinear formulation developed based on von Karman's assumptions is employed to study the free vibration characteristics of functionally graded material (FGM) plates subjected to thermal environment. Temperature field is assumed to be…

Numerical Analysis · Mathematics 2011-07-28 N Sundararajan , T Prakash , M Ganapathi

Functionally graded materials (FGM) eliminate the stress singularity in the interface between two different materials and therefore have a wide range of applications in high temperature environments such as engines, nuclear reactors,…

Functionally graded material (FGM) is a class of advanced materials, consisting of two (or more) different constituents, that possesses a continuously varying composition profile. With the advancement of nanotechnology, applications of FGMs…

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…

For quartz crystal resonators of thickness-shear type, the vibration frequency and mode shapes, which are key features of resonators in circuit applications, reflect the basic material and structural properties of the quartz plate and its…

Materials Science · Physics 2016-11-17 Ji Wang , Wenliang Zhang , Dejin Huang , Tingfeng Ma , Jianke Du , Lijun Yi

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

Achieving an optimal biomechanical environment within bone scaffolds is critical for promoting tissue regeneration, particularly in load-bearing anatomical sites where rigid fixation can induce stress shielding and compromise healing.…

In the present paper, a new parabolic shear deformation beam theory is developed and applied to investigate the bending behavior of functionally graded (FG) sandwich curved beam. The present theory is exploited to satisfy parabolic…

In this paper, a cell-based smoothed finite element method with discrete shear gap technique for triangular ele- ments is employed to study the linear flutter characteristics of functionally graded material (FGM) flat panels. The influence…

Numerical Analysis · Mathematics 2013-09-04 Sundararajan Natarajan , Karthik Kaleeswaran , Ganapathi Manickam

Functionally graded materials (FGMs) exhibit continuous property variations that enable unique functionalities and provide efficient platforms for systematic property optimization. Here, we report the fabrication of FGMs with graded…

Materials Science · Physics 2026-03-11 Sang J. Park , Ravi Gautam , Takashi Yagi , Rajkumar Modak , Hossein Sepehri-Amin , Ken-ichi Uchida

Deformation heterogeneities within microstructures of polycrystalline shape memory alloys (SMAs) during superelastic stressing are studied using both experiments and simulations. In situ X-ray diffraction, specifically the far-field high…

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

Functionally graded materials (FGMs), have drawn considerable attention of the worldwide researchers and scientific community because of its unique mechanical, thermal and electrical properties which may be exploited by varying the…

Materials Science · Physics 2020-04-14 Shailee Mitra , Md. Habibur Rahman , Mohammad Motalab , Tawfiqur Rakib , Pritom Bose

In this paper, strain gradient elasticity formulation for analysis of FG (Functionally Graded) micro-cylinders is presented. The material properties are assumed to obey a power law in radial direction. The governing differential equation is…

Materials Science · Physics 2013-05-16 H. Sadeghi , M. Baghani , R. Naghdabadi

Functionally graded porous (FGP) plates have been introduced as modern structural members which open a new window to optimal and functional designs. Despite the need to study the effect of graded porosity on the mechanical behavior of FGP…

Materials Science · Physics 2021-10-05 S. K. Jalali , M. J. Beigrezaee , Nicola M. Pugno
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