On the Propagation of Elastic-plastic Wave in the Half Space

Abstract

The problem of the propagation of the elastic-plastic wave in the half-space occupied by and elastic-plastic medium has been studied. Treatments were carried out under the Assumption of perpendicular load, on the boundary, which propagates with a constant speed D. The assumption further involved that displacements were in the direction of the load, whereas the lateral displacements were neglected. The method of quadratic error was used throughout the solution of the wave equation. the theoretical calculations of space-dependent stress were displayed with respect to the distance from the half-space boundary.

في هذا البحث عولجت مسألة انتشار الموجات المرنة اللدنة في ثصف الفراغ المرن اللدن بفرض ان الحمل يؤتر عموديا على حدود نصف الفراغ وانه ينتشربسرعة ثابتة . علاوة على ذلك اننا افترضنا ان الازاحات في اتجاه الحمل بينما اهملنا الازاحات المستعرضة . وخلال حل معادلة الموجة اسمتعملنا طريقة الخطأ التربيعي .