Analysis of Simple Shear Endochronic Equations for Finite Plastic Deformation
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摘要: 在有限塑性内时理论中引入Jaumann率、广义Jaumann率、扶率及Wu率,并以此分析了简单剪切大变形问题.结果验证了简单剪切变形中,采用次弹性或内时刚塑性材料的Jaumann率客观模型,随单调递增的剪切变形剪切应力和法向应力都会出现振荡现象.这说明振荡现象的出现不取决于弹塑性模型,而与选取不同的客观率有很大的关系.同时指出在简单剪切大变形时,法向应力并不为零.Abstract: Jaumann rate,generalized Jaumann rate,Fu rate and Wu rate were incorporated into endochronic equations for finite plastic deformation to analyze simple shear finite deformation.The results show that an oscillatory shear stress and normal stress response to a monotonically increasing shear strain occurs when Jaumann rate objective model is adopted for hypoelastic or endochronic materials.The oscillatory response is dependent on objective rate adopted,independent on elastoplastic models.Normal stress is unequal to zero during simple shear finite deformation.
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Key words:
- finite deformation /
- endochronic equation /
- simple shear oscillation /
- objective rate
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