Abstract: | The main purpose of this investigation is to study the state of stress of layered rocks forming slopes of deep river valleys. For this purpose averaging technique and a variant of the Variation-Difference Method are used. Because of the averaging method, equivalent homogeneous properties of layered elastic medium are determined. The paper has two parts. The first one is devoted to the analysis of a static stress–strain state of the slopes under gravity. The rock mass in the second part is subjected to dynamic loading caused by an earthquake. As a result of the numerical solution of the raised problems, the stress distribution in slopes and at the base of a deep canyon-like river valley was obtained. © 1997 John Wiley & Sons, Ltd. |