摘要
本文提出预测—校正迭代方法,使边界元初应变法的弹塑性分析可以适用于包括非强化材料在内的各种塑性流变特性的材料。其原理为利用结构因子,即内部单元对其初应变的弹性响应来校正每步增量载荷作用下预测的塑性应变增量,使塑性区的等效应力逐步返回到屈服面上,在中型计算机上对均匀拉伸的双V缺口平板按理想弹塑性材料进行了弹塑性分析,计算结果与有限元法的结果十分一致。但计算时间大为缩短。
A predictor-corrector iteration approach is proposed in this paper which en ables the use of elasto-plastic analysis with initial strain boundary eiement method to be extended to the materials with all kinds of plastic flow natures including non-hardening materials. In the iteration, the structural factors, i. e. the elastic responces of internal cells to their initial strains, are introduced to correct the predicted plastic strain increments under each incremental load until the effective stresses in the plastic zone back on to the yielding surface. An elasto plastic analysis is carried out for the double V-notched plate of elastic-perfectly plastic materials under uniform extension. The result is fairly consistent with those obtained by finite element method but using less computing time.
出处
《上海力学》
CSCD
1991年第3期28-35,共8页
Chinese Quarterly Mechanics