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摘要：
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在平面应力状态条件下,对Hill塑性屈服条件进行了研究。导出了正交异性材料屈服的参数方程,在同时考虑幂强化材料与正交异性指数的情况下,得到了轴对称平面应力满足平衡方程,协调方程及应力应变关系的解析解。研究表明,硬化指数n和R=H/G对应力应变影响较显著。而R90=H/F存在时,对应力应变影响较弱。
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The Hill's orthotropic yield criterion under axisymmetric plane stress state is discussed.A yield function withparameters is introduced.A general solution is obtained.The solutions are used to satisfy the equations of equilibrium and compatibility.The result provides a useful base for the plastic theory and related engineering practices.The study shows that hardening coefficients n and R_0= H/G have substantial influences over stress and strain.However,in the presence of the coefficient R_(90)=H/F,such influence appears to be quite weak.
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基金项目：
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湖北省教育厅科技创新团队基金资助(鄂教科[2004]7号)
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作者简介：
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参考文献：
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[1]Hill R.The Mathematical Theory of Plasticity[M].London,Oxford University Press,1950.
[2]Slater R A C Engineering Plasticity[M].New York:Mac-millan press ltd.,1977
[3]胡世光,唐荣锡.板料压制塑性变形原理[M].北京:国防工业出版社,1965.
[4]梁炳文,胡世光.板材成形塑性理论[M].北京:机械工业出版社,1987.
[5]贾乃文.幂强化材料环形弯曲的塑性参数群[J].兵器材料科学与工程,1990,(5):20 24.
[6]李敏华.硬化材料得轴对称塑性平面应力问题的研究[M].北京:科学出版社,1960.
[7]刘么和,胡世光.钣料的n,R值对应力应变分布的影响[J].北京航空学院学报,1982,(1):115 124.
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