Deformation and Microdamage of a Discrete-Fibrous Composite with Transversely Isotropic Components |
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Authors: | L P Khoroshun L V Nazarenko |
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Institution: | (1) National Academy of Sciences of Ukraine, S. P. Timoshenko Institute of Mechanics, Kiev |
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Abstract: | The theory of microdamage for materials with a transversely isotropic matrix and unidirectional ellipsoid-like fibers is set forth. Microdamage is modeled by empty pores. The failure criterion for a microvolume is assumed to have the Huber–Mises form where the ultimate strength is a random function of coordinates with a power or Weibull distribution. The stress–strain state and effective properties of the material are determined from the theory of elasticity for materials with a transversely isotropic matrix and unidirectional fibers. The deformation and microdamage equations are closed by the porosity-balance equations. The nonlinear dependences of the coupled processes of deformation and microdamage on macrodeformations are constructed. The effect of physical and geometrical parameters on the processes is studied |
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Keywords: | discrete-fibrous material transversely isotropic component microdamage failure criterion stochastic equation porous material effective property |
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