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Two-dimensional modeling of functionally graded viscoelastic materials using a boundary element approach

Ashrafi, H ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.4028/www.scientific.net/AMR.463-464.570
  3. Abstract:
  4. In this paper, a 2D boundary element approach able to model viscoelastic functionally graded materials (FGM) is presented. A numerical implementation of the Somigliana identity for displacements is developed to solve 2D problems of exponentially graded elasticity. An FGM is an advanced material in which its composition changes gradually resulting in a corresponding change in properties of the material. The FGM concept can be applied to various materials for structural and functional uses. Our model needs only the Green's function of nonhomogeneous elastostatic problems with material properties that vary continuously along a given dimension. We consider the material properties to be an exponential function of Cartesian coordinates x. As application, a numerical example is provided to validate the proposed boundary integral equation approach
  5. Keywords:
  6. Boundary element analysis ; Boundary elements ; Boundary integral equation approach ; Cartesian coordinate ; Composition changes ; Elasto-static problem ; Functionally graded ; Material property ; Non-homogeneous ; Numerical example ; Numerical implementation ; Somigliana identity ; Visco-elastic material ; Viscoelastic behaviors ; Beams and girders ; Elasticity ; Functionally graded materials ; Materials properties ; Boundary element method
  7. Source: Advanced Materials Research, 7 January 2012 through 8 January 2012 ; Volume 463-464 , January , 2012 , Pages 570-574 ; 10226680 (ISSN) ; 9783037853634 (ISBN)
  8. URL: http://www.scientific.net/AMR.463-464.570