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关于正交异性理想刚塑性材料的塑性平面应变问题的特征线场
The characteristic fields of plastic plane strain problems for the orthogonal anisotropic ideal plastic-rigid bodies
【摘要】 本文中将正交异性体材料的特性视为理想刚塑性,采用Hill 屈服准则及与之相关的塑性势流动理论(应力一应变速度关系),建立了塑性平面应变问题的特征场。无论是应力场,还是速度场,偏微分方程为双曲型,恒有两族特征线,它们一般互不正交。应力场的特征线和速度场的特征线互相重合。
【Abstract】 In this paper te Mechanical behavior of anisotropic materials,Which possessthree mutually orthogonal planes of Symmetry,are regarded as ideal plastic-rigidin order to simplify the analysis.Adopting Hills’yield criteria and its associatedplastic flow rule the characteristie fields of plastic plane stain prblems are cnst-ituted.Either in the stress field,or in the velocity field,the differential equati-ons are hyperbolic,and tnere are two families of characteristic lines,which are notmutually orthogonal.But the chracteristic lines in the velocity field are the sameas in the stress field。
- 【文献出处】 哈尔滨工业大学学报 ,Journal of Harbin Institute of Technology , 编辑部邮箱 ,1985年A7期
- 【被引频次】3
- 【下载频次】49