引用本文: | 江大志,沈为,王兴业.各向异性材料的有效弹性模量.[J].国防科技大学学报,1996,18(4):144-147.[点击复制] |
Jiang Dazhi,Shen Wei,Wang Xingye.Effective Elastic Moduli of Anisotropic Materials[J].Journal of National University of Defense Technology,1996,18(4):144-147[点击复制] |
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各向异性材料的有效弹性模量 |
江大志1, 沈为2, 王兴业1 |
(1.国防科技大学 材料工程与应用化学系 湖南 长沙 410073;2.华中理工大学力学系 武汉 430074)
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摘要: |
在夹杂理论的基础上,采用自洽法导出了含分布夹杂的各向异性弹性体的本构关系和有效弹性模量的细观力学表达式。本文得到的公式不仅可以处理含缺陷和损伤的材料的有效弹性模量,而且还可处理诸于纤维复合材料等各向异性材料的理论及有效弹性模量,从而为建立材料细观结构与宏观性能之间的关系提供了理论基础。 |
关键词: 夹杂,自洽法,各向异性体,有效弹性模量 |
DOI: |
投稿日期:1996-01-06 |
基金项目:国家自然科学基金资助 |
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Effective Elastic Moduli of Anisotropic Materials |
Jiang Dazhi1, Shen Wei2, Wang Xingye1 |
(1.Department of Material Engineering and Applied Chemistry,NUDT,Changsha 410073;2.Department of Mechanics,HUST,Wuhan,430074)
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Abstract: |
The theory of inclusion is introduced in this paper. Two meso-mechanical expressions for the constitutive relations and effective elastic moduli of anisotropic media which include distributed inclusions are derived by self-consistent method. The effective elastic moduli of materials which may include defects or damage can be obtained by the expressions. The theoretical and effective elastic moduli of anisotropic media such as fiber composites are also obtained,thus a relationship between the meso-structures and macro-properties of materials are established by the expressions. |
Keywords: inclusion,self-consistent method,anisotropic media,effective elastic moduli |
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