nonlinear bending analysis of thick functionally graded plates based on third-order shear deformation plate theory

Authors

payman naderpour najafabad branch, islamic azad university, najafabad, iran

aazam ghassemi najafabad branch, islamic azad university, najafabad, iran

nosratollah solhjoei najafabad branch, islamic azad university, najafabad, iran

abstract

in this paper the nonlinear bending analysis of thick functionally graded plates subjected to mechanical loading is studied. the formulation is derived based on the third-order shear deformation plate theory and von kármán type non-linearity. young’s modulus is assumed to vary according to a power law distribution in terms of the volume fractions of the constituents. the principle of virtual work is used to obtain the weak form of the governing differential equations. the most important advantage of employed numerical solution in this work is that the whole plate is considered as one element and the components of displacement field are interpolated over the entire domain, then a hierarchical finite-element scheme is developed. the validity and the accuracy of the method are verified by comparisons made with other solutions. in addition; the effect of numbers of interpolation functions on the accuracy of results is studied. it is concluded that accurate results are obtained even by few numbers of interpolation functions.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Finite Element Analysis of Functionally Graded Skew Plates in Thermal Environment based on the New Third-order Shear Deformation Theory

Functionally graded materials are commonly used in thermal environment to change the properties of constituent materials. The new numerical procedure of functionally graded skew plates in thermal environment is presented in this study based on the C0-form of the novel third-order shear deformation theory. Without the shear correction factor, this theory is also taking the desirable properties a...

full text

A refined inverse hyperbolic shear deformation theory for bending analysis of functionally graded porous plates

The modern engineering structures require the advanced engineering materials to resist the high temperatures and to provide high stiffness. In particular the functionally graded porous materials (FGPMs) introduced are expected to have these desired properties, consequently eliminating local stress concentration and de-lamination. In the present paper, a new shear strains shape function is chose...

full text

Bending Analysis of Thick Isotropic Plates by Using 5th Order Shear Deformation Theory

A 5th order shear deformation theory considering transverse shear deformation effect as well as transverse normal strain deformation effect is presented for static flexure   analysis of simply supported isotropic plate. The assumed displacement field accounts for non-linear variation of in-plane displacements as well as transverse displacement through the plate thickness. The condition of zero ...

full text

Free Vibrations Analysis of Functionally Graded Rectangular Nano-plates based on Nonlocal Exponential Shear Deformation Theory

In the present study the free vibration analysis of the functionally graded rectangular nanoplates is investigated. The nonlocal elasticity theory based on the exponential shear deformation theory has been used to obtain the natural frequencies of the nanoplate. In exponential shear deformation theory an exponential functions are used in terms of thickness coordinate to include the effect of tr...

full text

Bending analysis of magneto-electro-thermo-elastic functionally graded nanobeam based on first order shear deformation theory

In this research, analysis of nonlocal magneto-electro-thermo-elastic of a functionally graded nanobeamdue to magneto-electro-elastic loads has been done. In order to formulate the problem the Timoshenko theory of beams is utilized. The principle of virtual work, Hamilton’s principle as well as nonlocal magneto-electro-thermo-elastic relations has been recruited to derive the governing eq...

full text

Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method

The collocation multiquadric radial basis functions are used to analyze static deformations of a simply supported functionally graded plate modeled by a third-order shear deformation theory. The plate material is made of two isotropic constituents with their volume fractions varying only in the thickness direction. The macroscopic response of the plate is taken to be isotropic and the effective...

full text

My Resources

Save resource for easier access later


Journal title:
international journal of advanced design and manufacturing technology

جلد ۷، شماره ۲، صفحات ۹۹-۱۰۶

Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023