| 弹性各向异性损伤 |
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| 引用本文： | 李相麟,黄良.弹性各向异性损伤[J].南昌大学学报(工科版),2005,27(4):41-43. |
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| 作者姓名： | 李相麟 黄良 |
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| 作者单位： | 1. 南昌大学,建筑工程学院,江西,南昌,330029
2. 燕山大学,工程力学系,河北,秦皇岛,066004 |
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| 基金项目： | 江西省自然科学基金资助项目（0412013） |
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| 摘 要： | 采用损伤影响张量,研究了弹性各向异性损伤时的有效应力,按照Lemaitre应变等价性假设,建立了弹性各向异性损伤应力应变关系,并引入了材料的有效柔度张量.由于应变应该具有对称性,因此要求有效柔度张量具有对称性.本文采用Sidoroff的弹性能等值假设和弹性余能等值假设构造了材料的有效柔度张量.推导出损伤应变能释放率张量.
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| 关 键 词： | 各向异性 弹性损伤 损伤应变能释放率 应力应变关系 有效柔度 |
| 文章编号： | 1006-0456（2005）04-0041-03 |
| 收稿时间： | 2005-03-31 |
| 修稿时间： | 2005年3月31日 |
Elastic Anisotropic Damage |
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| LI Xiang-lin,HUANG Liang.Elastic Anisotropic Damage[J].Journal of Nanchang University(Engineering & Technology Edition),2005,27(4):41-43. |
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| Authors: | LI Xiang-lin HUANG Liang |
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| Affiliation: | 1. School of Architectural Engineering, Nanchang University, Nanchang 330029, China ; 2. Department of Engineering Mechanics, Yanshan University, Qinhuangdao, Hebei Province 066004, China |
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| Abstract: | In this paper,an effective stress in an elastic material to be in anisotropic damage is studied by a damage influence tensor.A stress-strain relation of an elastic anisotropic damage is established in accordance with Lemaitre's hypothesis of strees equivalence.An effective flexibility tensor of a material is instroduced to this relation.Because of symmetry of strain,it's necessary that effective flexibility tensor has a symmetry.For this purpose,the effective flexibility tensor is made in accordance with Sidoroff's hypothesis of elastic energy equivalence and hypothesis of spare elastic energy equivalence.A release rate tensor of damage strain energy is derived. |
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| Keywords: | anisotropy elastic damage release rate of damage strain energy stress - strain relation effective flexibility |
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