Kirigami metamaterials dramatically change their shape through a coordinated motion of nearly rigid panels and flexible slits. Here, we study model system for mechanism-based planar kirigami featuring periodic patterns quadrilateral rhombi slits, with the goal predicting engineering scale response to broad range loads. We develop generalized continuum based on kirigami’s effective (cell-average...

B-spaces are a class of uniquely arcwise connected generalized continua, containing trees. In this paper, it is shown that a main result obtained by several authors for existence of periodic points of small periods of mappings of trees is also true for B-spaces.

M.J. Korstanje, Department of Dermatology, Academic Hospital Maastricht, PO Box 1918, NL–6201 BX Maastricht (The Netherlands) The effectiveness of ciclosporin (CsA) in severe plaque psoriasis is established [1. 2]. However. CsA may not be randomly used in clinical practice because of its side effects, which include hepatotoxicity. acute and chronic nephrotoxicity, hirsutism. hypertension and to...

We propose a hierarchy of nonlinearly dispersive generalized Korteweg–de Vries (KdV) evolution equations based on a modification of the Lagrangian density whose induced action functional the KdV equation extremizes. It is shown that two recent nonlinear evolution equations describing wave propagation in certain generalized continua with an inherent material length scale are members of the propo...

The well-known result of S. Mazurkiewicz that the simple closed curve is the only nondegenerate locally connected plane homogeneous continuum is extended to generalized homogeneity with respect to some other classes of mappings. Several open problems in the area are posed.