Void growth and constitutive softening in a periodically voided solid
Void growth and constitutive softening in a periodically voided solid
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DOI：
10.1016/0022-5096(90)90025-y
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发表时间：
1990
影响因子：
5.3
通讯作者：
M. Worswick;R. Pick
中科院分区：
文献类型：
--
作者：
M. Worswick;R. Pick
本文采用三维弹塑性周期性孔洞模型，预测了拉伸塑性变形下孔洞的扩展和本构软化。该分析考虑了一个无限大的材料块包含一个三维的周期性阵列的空隙，受到远程变形或应力场。作为应力三轴度和材料加工硬化率的函数，预测的初始拉伸和拉伸空穴增长率与Budianskyet等人的分析结果（《固体力学》，罗德尼·希尔60周年纪念卷，H. G. Hopkinsand M.J.休厄尔，第13页，Pergamon出版社，牛津，1982）。增加初始空隙体积分数（α）对外延生长速率影响不大，但在高水平的三轴度下强烈影响外延生长速率。在单轴拉伸变形过程中，孔隙纵横比对孔隙增长速率的影响，在此期间，广泛的孔隙伸长导致最终或渐近孔隙增长速率的减少。本构软化主要是孔隙率和应力三轴度的函数。
Athree-dimensionalfinite element model of a periodically voided elastic-plastic solid is used to predict void growth and constitutive softening under tensile plastic deformation. The analysis considers an infinite block of material containing a three-dimensional periodic array of voids, subjected to a remote deformation or stress field. The predicted initial dilatational and extensional void growth rate, as a function of stress triaxiality and material work-hardening rate, agrees well with the analytical results ofBudianskyet al. (Mechanics of Solids, The Rodney Hill 60th Anniversary Volume, edited by H.G. Hopkinsand M.J.Sewell, p. 13, Pergamon Press, Oxford, 1982) for an isolated void in a viscous solid. Increased initial void volume fraction (⨍) has little effect on the dilatational growth rate, but strongly affects the extensional growth rate at high levels of triaxiality. The effect of void aspect ratio on void growth rate was seen during uniaxial tensile deformation, during which extensive void elongation caused a reduction in the final or asymptotic void growth rates. Constitutive softening is shown to be primarily a function of porosity and stress triaxiality.