An iterative solution algorithm for thin elastic plate flexure with variable rigidity and in-plane loading
Abstract
An algorithm was developed to solve the thin elastic plate flexure equation in the case of variable rigidity which can be used to model the bending of the Earth's lithosphere in response to lateral and in-plane loading. In the oceanic lithosphere, variable rigidity corresponds to changes in elastic thickness, which could occur in the incoming plate at deep-sea trenches. The proposed method relies on numerical Fourier transforms as it computes successive approximations of the flexural deflection of the plate. This formulation is intended to enable studies of the effects of material properties on lithospheric flexure at subduction zones, but it could potentially be applied to other systems in geophysics that involve flexural deformation such as the elastic response of the crust to unloading from the melting of an ice sheet.An algorithm was developed to solve the thin elastic plate flexure equation in the case of variable rigidity which can be used to model the bending of the Earth's lithosphere in response to lateral and in-plane loading. In the oceanic lithosphere, variable rigidity corresponds to changes in elastic thickness, which could occur in the incoming plate at deep-sea trenches. The proposed method relies on numerical Fourier transforms as it computes successive approximations of the flexural deflection of the plate. This formulation is intended to enable studies of the effects of material properties on lithospheric flexure at subduction zones, but it could potentially be applied to other systems in geophysics that involve flexural deformation such as the elastic response of the crust to unloading from the melting of an ice sheet.
Downloads
Published
Issue
Section
License
By submitting their manuscript to the Samahang Pisika ng Pilipinas (SPP) for consideration, the Authors warrant that their work is original, does not infringe on existing copyrights, and is not under active consideration for publication elsewhere.
Upon acceptance of their manuscript, the Authors further agree to grant SPP the non-exclusive, worldwide, and royalty-free rights to record, edit, copy, reproduce, publish, distribute, and use all or part of the manuscript for any purpose, in any media now existing or developed in the future, either individually or as part of a collection.
All other associated economic and moral rights as granted by the Intellectual Property Code of the Philippines are maintained by the Authors.
