粉末冶金材料屈服条件简化

SIMPLIFICATION OF YIELD CRITERION FOR POWDER METALLURY MATERIALS

粉末冶金材料屈服条件是粉末冶金材料广义塑性理论的基础 ,其数学表达式对粉末冶金材料广义塑性理论方法的建立有重要影响。本文通过对二次函数椭球面粉末冶金材料屈服条件分析 ,提出了线性函数六棱锥面简化粉末冶金材料屈服条件 ,并计算了两者的数值误差。分析结果表明 ,六棱锥面简化粉末冶金材料屈服条件不仅在数值上与椭球面屈服条件较接近 ,而且是全致密熔铸材料Tresca屈服条件的推广。

The yield criterion for powder metallurgy materials is a basis of generalized plasticity theory for these materials,and its mathematical expression has important effect on the estallishment of generalized plasticity theory.A simplified yield criterion for powder metallurgy materials with linear function and in form of hexagonal pyramid is proposed based on the analysis of the yield criterion in form of elliptical sphere,and the difference between two yield criteria is calculated.The results show that the yield oriterion in from of hexagonal pyramid is cloese to that in form of elliptical sphere in numerical solution,and is an extension of Tresca yield criterion for melted materials.