This paper presents a unified approach to vibration analysis of functionally graded beams with transverse open-edge cracks based on the so-called shape obtained as general solution equations in frequency domain. The crack is modeled by pair translational and rotational springs stiffness computed from depth dependence upon material parameters. frequency-dependent functions allow one not only obt...

Soft materials such as rubberlike and biological tissues are usually modeled incompressible. Mechanical properties of polymeric can be controlled either by exposing them to ultraviolet light for different time durations or changing their molecular structure. A challenge is find the spatial variation moduli fully utilize material. One way achieve this have a uniform distribution stress component...

The present paper investigates the transverse vibration of a non-uniform axially functionally graded Timoshenko beam with cross-sectional and material properties varying in length direction. Chebyshev collocation method is used to spatially discretize governing partial differential equations motion into time-dependent ordinary terms differentiation matrices. An algebraic eigenvalue equation mat...

functionally gradedpoisson’s ratio structures have been developed for critical protection. in thispaper, the static bending and buckling of fgpr nanoscale beam are studied basedon the nonlocal timoshenko beam model, in which both young’s modulus andpoisson’s ratio are assumed to vary continuously in the thickness direction. byutilizing total potential energy principle, equilibrium equations are...

this paper investigates the effect of different methods of carbon nanotubes distribution in a thin matrix on static and dynamic behavior of the nanocomposite. five different symmetric patterns of distribution are considered, including four parabolic patterns and a linear one. for each pattern, the effective mechanical properties of the resultant nanocomposite are calculated using the rule of mi...

free vibration of simply supported circular cylindrical shell made of functionally graded material (fgm) under internal pressure was investigated. the effective material properties are assumed to vary continuously along the thickness direction according to a volume fraction power law distribution. first order shear deformation theory based on love's first approximation theory was utilized in th...

this research develops thermo-elastic analysis of a functionally graded cylinder under thermo-mechanical loadings. heat conduction equation in cylindrical coordinate system is solved. thermal conductivity coefficient is graded along the radial direction. by considering a symmetric distribution of temperature, loading and boundary conditions, strain-displacement and stress-strain relations can b...

Abstract A study of smart functionally graded (FG) beams made carbon nanotube (CNT) reinforced composites combined with piezoelectric materials is presented. The material parameters the composite are assumed to vary along their thickness following extended rule mixture. finite element (FE) model was developed for FG nanotube-reinforced beam materials. This tested against previously published st...

In this work, an experimental and numerical program was designed to evaluate the role of compressive strength, Fc, area reinforcing steel, As, on flexural behavior functionally graded reinforced concrete beams. Eighteen layered sections beams were tested with different strengths arrangement main steel. The result showed that minimum steel reinforcement higher strength in compression zone increa...