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力学学报  2001 

THE CHARACTERISTICS OF INSTABILITY IN SOLID MATERIALS
固体材料不稳定性的特征

Keywords: void,bifurcation,material instability
孔洞
,分岔,不稳定性,固体材料,二次变分,金属板材,拉胀成型实验,势函数,周期性分布,孔洞损伤

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Abstract:

Based on analyzing the second variation of potential functional, one of the char-acteristics of the instability occurred in solid materials is proved as basically depending on the deterioration of material behavior. Another important feature is demonstrated that the funda-mental straining path is used to be disturbed and shifted into a mode of limiting an axial strain at instability. Sheet materials perforated periodically are numerically analyzed by finite-element method to exemplify how the strain localization around small holes eventually turns the strain-ing path into a failure mode of strain limitation. Metal forming tests on steel sheets loaded by flat-bottom punch also indicates such shift of straining path when approaching to failure.

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