| 关于3个力学常数关系的5种简证方法 |
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| 引用本文： | 郭磊,蔡中兵,贺建,黄海.关于3个力学常数关系的5种简证方法[J].淮海工学院学报,2010,19(3):5-7. |
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| 作者姓名： | 郭磊 蔡中兵 贺建 黄海 |
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| 作者单位： | 盐城工学院,基础教学部,江苏,盐城,224051 |
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| 基金项目： | 江苏省高校自然科学研究项目，盐城工学院大学生实践创新训练计划项目 |
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| 摘 要： | 各向同性材料一般都有3个力学弹性常数,即弹性模量E、泊松比ν和剪切弹性模量G。结合lamé常数、纯剪切应力状态、应变能密度等概念,利用广义胡克定律、主应变方向公式等,对它们之间存在的G=E2(1+ν)的关系给出了5种简明扼要的证明方法。
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| 关 键 词： | 弹性常数 广义胡克定律 纯剪切应力状态 |
Five Simple Methods to Prove the Three Mechanical Constant Relationship |
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| GUO Lei,CAI Zhong-bing,HE Jian,HUANG Hai.Five Simple Methods to Prove the Three Mechanical Constant Relationship[J].Journal of Huaihai Institute of Technology:Natural Sciences Edition,2010,19(3):5-7. |
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| Authors: | GUO Lei CAI Zhong-bing HE Jian HUANG Hai |
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| Affiliation: | (Dept. of Basic Science Subjects, Yaneheng Institute of Technology, Yancheng 224051, China) |
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| Abstract: | Isotropic materials generally have three mechanical elastic constants,i.e.elastic modulus E,Poisson＇s ratio ν and shear modulus G.For the equation of G=E2（1＋ν）,we used the lamé constants,pure shear state of stress,the strain energy density,generalized Hooke＇s law and the formula of main strain direction to prove this relationship by five simple methods. |
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| Keywords: | elastic constants generalized Hookers law pure shear state of stress |
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