Abstract
A volume integral equation method (VIEM) is used to calculate the plane elastostatic field in an unbounded isotropic elastic medium containing isotropic or anisotropic inclusions subject to remote loading. It should be noted that this newly developed numerical method does not require the Green’s function for anisotropic inclusions to solve this class of problems, since only the Green’s function for the unbounded isotropic matrix is involved in their formulation for the analysis. A detailed analysis of displacement and stress fields is carried out for isotropic or anisotropic inclusions. The method is shown to be very accurate and effective for investigating the local stresses in composites containing isotropic or anisotropic fibers.
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Lee, J. Elastic analysis of unbounded solids using volume integral equation method. J Mech Sci Technol 22, 450–459 (2008). https://doi.org/10.1007/s12206-007-1215-2
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DOI: https://doi.org/10.1007/s12206-007-1215-2