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S.B. Nielsen

Transverse deflections of an elastic spherical shell as a function of transverse and tangential loads

Research output: Contribution to book/anthology/report/proceedingConference abstract in proceedingsResearch

  • Christian F. Niordson, Danmarks Tekniske Universitet, Denmark
  • S.B. Nielsen
  • Section for Geophysics
The thin elastic plate model (the Kirchhoff model) in one and two space dimensions has proved extremely useful in providing a simple model of transverse deflections of the Earths lithosphere as a function of transverse loads. For example, the foreland basin of a mountain range is explained by this model by the load of the orogen on the lithosphere, and the primary, asymmetric trough associated with inversion structures in the European plate are explained by the intra-lithospheric load of the inversion ridge. It is well-known from the one-dimensional version of the plate model that the amplitude of the transverse deflection is modified by in-plane tectonic forces originating e.g. at plate boundaries. However, geoscience applications of the coupling between transverse deflections and boundary conditions have been restricted to the one-dimensional thin-plate model. In this paper we extend the model to a spherical thin elastic shell. This configuration is required when geoscience studies move from local scenarios, where the flat-Earth approximation holds, to plate-scale or global scenarios, where the correct application of far-field boundary conditions and the spherical geometry becomes of primary importance.
Original languageEnglish
Title of host publication  Geophysical Research Abstracts
Number of pages1
PublisherEuropean Geosciences Union
Publication year2006
ISBN (Electronic)1029-7006
Publication statusPublished - 2006
EventEGU General Assembly 2006 - Vienna, Austria
Duration: 2 Apr 20067 Apr 2006


ConferenceEGU General Assembly 2006

    Research areas

  • flexure, elastic, shell, thin, lithosphere, stress

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