Abstract
Anti-plane deformation of square lattices containing interphases is analyzed. It is assumed that lattices are linear elastic but not necessarily isotropic, whereas interphases exhibit non-linear elastic behavior. It is demonstrated that such problems can be treated effectively using Green’s functions, which allow to eliminate the degrees of freedom outside of the interphase. Illustrative numerical examples focus on the determination of applied stresses leading to lattice instability.
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Haq, S., Movchan, A.B. & Rodin, G.J. Analysis of Lattices with Non-linear Interphases. Acta Mech Mech Sinica 22, 323–330 (2006). https://doi.org/10.1007/s10409-006-0008-7
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DOI: https://doi.org/10.1007/s10409-006-0008-7