caa a22 4500 477063993 CHVBK 20180405111407.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF00192061 doi (NATIONALLICENCE)springer-10.1007/BF00192061 Localized folding of viscoelastic layers [Elektronische Daten] [G. Hunt, H. Mühlhaus, B. Hobbs, A. Ord] Naturally occurring fold systems are typically irregular. Although such systems may sometimes be approximated by a periodic geometry, in reality they are commonly aperiodic. Ord (1994) has proposed that naturally occurring fold systems may display spatial chaos in their geometry. Previous work has indicated that linear theories for the formation of fold systems, such as those developed by Biot (1965), result in strictly periodic geometries. In this paper the development of spatially chaotic geometries is explored for a thin compressed elastic layer embedded in a viscoelastic medium which shows elastic softening. In particular, it is shown that spatially localized forms of buckling can develop and the evolution of these systems in the time domain is presented. A nonlinear partial differential equation, fourth order in a spatial variable and first order in time, is found to govern the evolution. A related nonlinear fourth-order ordinary differential equation governs an initial elastic phase of folding. The latter equation belongs to a class with spatially chaotic solutions. The paper reviews the implications of localization in the geological framework, and draws some tentative conclusions about the development of spatial chaos. Crudely arrived-at, yet plausible, evolutionary time plots under the constraint of constant applied end displacement are presented. Emphasis throughout is on phenomenology, rather than underlying mathematics or numerics. Springer-Verlag, 1996 Aperiodicity nationallicence Buckling nationallicence Evolution nationallicence Modelling nationallicence Spatial chaos nationallicence Hunt G. Department of Civil Engineering, Imperial College, London, UK aut Mühlhaus H. Division of Exploration and Mining, CSIRO, Perth, Australia aut Hobbs B. Division of Exploration and Mining, CSIRO, Perth, Australia aut Ord A. Division of Exploration and Mining, CSIRO, Perth, Australia aut Geologische Rundschau Springer-Verlag 85/1(1996-03-01), 58-64 0016-7835 85:1<58 1996 85 531 https://doi.org/10.1007/BF00192061 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00192061 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hunt G. Department of Civil Engineering, Imperial College, London, UK aut NATIONALLICENCE 700 1- Mühlhaus H. Division of Exploration and Mining, CSIRO, Perth, Australia aut NATIONALLICENCE 700 1- Hobbs B. Division of Exploration and Mining, CSIRO, Perth, Australia aut NATIONALLICENCE 700 1- Ord A. Division of Exploration and Mining, CSIRO, Perth, Australia aut NATIONALLICENCE 773 0- Geologische Rundschau Springer-Verlag 85/1(1996-03-01), 58-64 0016-7835 85:1<58 1996 85 531 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer