| 考虑损伤的粘弹性梁的纯弯曲 |
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| 引用本文： | 盛冬发, 程昌钧, 扶名福. 考虑损伤的粘弹性梁的纯弯曲[J]. 固体力学学报, 2004, 25(4): 383-388. doi: 10.3969/j.issn.0254-7805.2004.04.003 |
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| 作者姓名： | 盛冬发 程昌钧 扶名福 |
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| 作者单位： | 上海大学,上海市应用数学与力学研究所,力学系,上海,200072;南昌大学工程力学研究所,南昌,330029; 上海大学,上海市应用数学与力学研究所,力学系,上海,200072; 南昌大学工程力学研究所,南昌,330029 |
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| 基金项目： | 国家自然科学基金(50278051)项目，上海市重点学科建设项目资助. |
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| 摘 要： | 根据粘弹性损伤理论,分析了带损伤粘弹性矩形梁在受纯弯曲时损伤对应力的影响,得到了在Laplace变换域内损伤场和应力场的分布.利用Laplace数值逆变换,分别得到了损伤弹性梁和损伤粘弹性梁的最大应力和最大损伤值,分析了材料的粘性对梁内应力和损伤的影响.
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| 关 键 词： | 粘弹性损伤固体 梁的纯弯曲 Laplace变换 数值逆变换 |
| 修稿时间： | 2003-04-23 |
PURE BENDING OF VISCOELASTIC BEAMS WITH DAMAGE |
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| PURE BENDING OF VISCOELASTIC BEAMS WITH DAMAGE[J]. Chinese Journal of Solid Mechanics, 2004, 25(4): 383-388. doi: 10.3969/j.issn.0254-7805.2004.04.003 |
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| Authors: | Sheng Dongfa Cheng Changjun Fu Mingfu |
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| Affiliation: | Sheng Dongfa 1,2 Cheng Changjun 1 Fu Mingfu 2 |
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| Abstract: | According to the theory of viscoelastic materials with damage, the pure bending of viscoelastic beams with damage is considered and the influence of damage on the stresses is analyzed. Firstly, the stress and damage fields in the Laplace transformation domain are obtained. Then, by applying numerical Laplace inversion transform, the maximum damage and stress of the beam are identified. The effect of material's viscidity on the damage and stress is also discussed. |
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| Keywords: | viscoelastic solids with damage pure bending of beam Laplace transformation numerical inversion transform |
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