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New high order theory for functionally graded shells
VOLODYMYR ZOZULYA
Acceso Abierto
Atribución-NoComercial-SinDerivadas
SHELL
FEM
FGM
LEGENDRE POLYNOMIAL
New theory for functionally graded (FG) shell based on expansión of the equations of elasticity for functionally graded materials (GFMs) into Legendre polynomials series has been developed. Stress and strain tensors, vectors of displacements, traction and body forces have been expanded into Legendre polynomials series in a thickness coordinate. In the same way functions that describe functionally graded relations has been also expanded. Thereby all equations of elasticity including Hook’s law have been transformed to corresponding equations for Fourier coefficients. Then system of differential equations in term of displacements and boundary conditions for Fourier coefficients has been obtained. Cases of the first and second approximations have been considered in more details. For obtained boundary-value problems solution finite element (FE) has been used. Numerical calculations have been done with Comsol Multiphysics and Matlab.
2012
Artículo
Theoretical Applied Mechanics. 4, 50, 175-183, 2012.
Inglés
Zozulya, V.V. (2012). New high order theory for functionally graded shells. Theoretical Applied Mechanics. 4, 50, 175-183.
INGENIERÍA Y TECNOLOGÍA
Versión actualizada
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