Numerical modeling of experiments by detecting of initial anisotropy type of elastic materials
DOI:
https://doi.org/10.7242/1999-6691/2015.8.4.33Keywords:
anisotropic materials, main axes of anisotropy, program of mechanical experiments, numerical experiment, modelingAbstract
In addition to a well-known term of the main axes of anisotropy of material a term of the canonical axes of anisotropy of material as the axes of a Cartesian rectangular coordinate system, in which tensors of elastic properties have the least number of non-zero independent components, is introduced. An experimental program, which allows one to establish the position of the canonical axes of anisotropy in the material, is developed. For definition of the position of the main axes of anisotropy it is necessary to perform three uniaxial compression experiments. For rhombic, monoclinic and triclinic materials the canonical axes of anisotropy coincide with the main axes of anisotropy. For trigonal, tetragonal and hexagonal materials one main axis of anisotropy and a canonical axis of anisotropy coinciding with it are determined definitely. To determine the orientation of the other two canonical axes of anisotropy, it is necessary to perform some tension-compression and shift experiments in the plane orthogonal to the defined main axis of anisotropy. In a cubic material the main axes of anisotropy are chosen coinciding with the axes of the laboratory coordinate system. To determine the position of the canonical axes of anisotropy with respect to the laboratory system axes it is enough to use the results of two uniaxial compression experiments. An experimental program for identification of the type of the initial elastic anisotropy of material is developed. This program includes tension-compression and shift tests in the canonical axes of anisotropy. The performed computer modeling of experiments by identification of the type of initial elastic anisotropy of material confirmed the applicability of the proposed experimental programs.
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