On the elastic‐perfectly plastic bending of the lithosphere under generalized loading with application to the Kurd Trench

Abstract

Summary. The bending of the lithosphere as it approaches an oceanic trench is modelled using an elastic‐perfectly plastic rheology. The rock within the elastic lithosphere is assumed to behave elastically until a yield stress is reached; for larger strains the stress is assumed to remain at the yield value (no strain hardening). The deflection of the lithosphere is obtained numerically for a range of applied moments, vertical forces and horizontal forces at the trench axis. The results of the analysis are compared with a series of topographic and gravity profiles across the Kuril Trench. In order to model the large observed curvatures of the lithosphere on the outer trench slope plasticity is required. The location of the region of high curvatures gives a value for the compressive axial load. One conclusion is that the lithosphere is under compression seaward of the Kuril Trench. Copyright © 1978, Wiley Blackwell. All rights reserved