Periodic necking instabilities in layered plastic composites (Q1082877)

A bifurcation analysis of a solid composed of alternating material layers is carried out. We study the conditions under which periodic incremental deformations (eigenmodes), consistent with an overall homogeneous stretching, can emerge when the solid is subjected to plane strain, uniaxial tension parallel to the layer interfaces. These undulatory eigenmodes are in competition with shear localization, taken here to be signaled by a loss of ellipticity of the governing incremental equations. The influence of various material parameters on this competition is discussed and contact is made with previous work [e.g. the author, ibid. 22, 195-207 (1986; Zbl 0576.73034)].