Axisymmetric analysis of a functionally graded layer resting on elastic substrate

TURAN M., ADIYAMAN G., KAHYA V., BİRİNCİ A.

STRUCTURAL ENGINEERING AND MECHANICS, cilt.58, sa.3, ss.423-442, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.12989/sem.2016.58.3.423
  • Dergi Adı: STRUCTURAL ENGINEERING AND MECHANICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.423-442
  • Anahtar Kelimeler: stiffness matrix method, functionally graded material, layered media, elasticity, Hankel's transform, FRICTIONLESS CONTACT, FLEXIBILITY APPROACH, STRESS-ANALYSIS, HALF-PLANES
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

This study considers a functionally graded (FG) elastic layer resting on homogeneous elastic substrate under axisymmetric static loading. The shear modulus of the FG layer is assumed to vary in an exponential form through the thickness. In solution, the FG layer is approximated into a multilayered medium consisting of thin homogeneous sublayers. Stiffness matrices for a typical homogeneous isotropic elastic layer and a half-space are first obtained by solving the axisymmetric elasticity equations with the aid of Hankel's transform. Global stiffness matrix is, then, assembled by considering the continuity conditions at the interfaces. Numerical results for the displacements and the stresses are obtained and compared with those of the classical elasticity and the finite element solutions. According to the results of the study, the approach employed here is accurate and efficient for elasto-static problems of FGMs.