The bending behaviour of
two-directional functionally graded beams (FGBs) subjected to various sets of
boundary conditions is investigated by using a shear and normal deformation
theory and the Symmetric Smoothed Particle Hydrodynamics (SSPH) method. A
simply supported conventional FGB problem is studied to validate the developed
code. The comparison studies are performed along with the analytical solutions
and the results from previous studies. The numerical calculations in terms of
maximum dimensionless transverse deflections, dimensionless axial and
transverse shear stresses are performed for various gradation exponents, aspect
ratios (L/h) and sets of boundary conditions. The effects of the gradation
exponents on the accuracy and the robustness of the SSPH method are also
investigated for the two directional functionally graded beams which are having
clamped-free boundary condition..

Anahtar Kelimeler:
## Meshless method, Functionally graded beam, SSPH method, Shear and normal deformation theory

The bending behaviour of
two-directional functionally graded beams (FGBs) subjected to various sets of
boundary conditions is investigated by using a shear and normal deformation
theory and the Symmetric Smoothed Particle Hydrodynamics (SSPH) method. A
simply supported conventional FGB problem is studied to validate the developed
code. The comparison studies are performed along with the analytical solutions
and the results from previous studies. The numerical calculations in terms of
maximum dimensionless transverse deflections, dimensionless axial and
transverse shear stresses are performed for various gradation exponents, aspect
ratios (L/h) and sets of boundary conditions. The effects of the gradation
exponents on the accuracy and the robustness of the SSPH method are also
investigated for the two directional functionally graded beams which are having
clamped-free boundary condition..

Keywords:
## Meshless method, Functionally graded beam, SSPH method, Shear and normal deformation theory,

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**ISSN:**1302-0900**Yayın Aralığı:**6**Başlangıç:**1998**Yayıncı:**GAZİ ÜNİVERSİTESİ

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