Dynamic response for functionally graded materials with penny-shaped cracks |
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Authors: | Wang Baolin Han Jiecai and Du Shanyi |
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Institution: | (1) Center for Composite Materials, Harbin Institute of Technology, 150001 Harbin, China |
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Abstract: | This paper provides a method for studying the penny-shaped cracks configuration in functionally graded material(FGM) structures
subjected to dynamic or steady loading. It is assumed that the FGMs are transversely isotropic and all the material properties
only depend on the axial coordinatez. In the analysis, the elastic region is treated as a number of layers. The material properties are taken to be constants
for each layer. By utilizing the Laplace transform and Hankel transform technique, the general solutions for the layers are
derived. The dual integral equations are then obtained by introducing the mechanical boundary and layer interface conditions
via the flexibility/stiffness matrix approach. The stress intensity factors are computed by solving dual integral equations
numerically in Laplace transform domain. The solution in time domain is obtained by utilizing numerical Laplace inverse. The
main advantage of the present model is its ability for treating multiple crack configurations in FGMs with arbitrarily distributed
and continuously varied material properties by dividing the FGMs into a number of layers with the properties of each layer
slightly different from one another.
This work was supported by Failure Mechanics Laboratory of State Education Commission and the Post-doctor Research Fund of
China. |
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Keywords: | fracture mechanics functionally graded materials multlayers stress intensity factors integral equations dynamic fracture mechanics |
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