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Wedge and Twist Disclinations in Second Strain Gradient Elasticity | |
Deng SC(邓守春); Liu JX(刘金兴); Liang NG(梁乃刚); Deng, SC (reprint author), CAS, Inst Mech, State Key LNM, Beijing 100080, Peoples R China. | |
发表期刊 | International Journal of Solids and Structures |
2007 | |
卷号 | 44期号:11-12页码:3646-3665 |
ISSN | 0020-7683 |
摘要 | The aim of this paper is to study disclinations in the framework of a second strain gradient elasticity theory. This second strain gradient elasticity has been proposed based on the first and second gradients of the strain tensor by Lazar et al. [Lazar, M., Maugin, G.A., Aifantis, E.C., 2006. Dislocations in second strain gradient elasticity. Int. J. Solids Struct. 43, 1787-1817]. Such a theory is an extension of the first strain gradient elasticity [Lazar, M., Maugin, G.A., 2005. Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity. Int. J. Eng. Sci. 43, 1157-1184] with triple stress. By means of the stress function method, the exact analytical solutions for stress and strain fields of straight disclinations in an infinitely extended linear isotropic medium have been found. An important result is that the force stress, double stress and triple stress produced by wedge and twist disclinations are nonsingular. Meanwhile, the corresponding elastic strain and its gradients are also nonsingular. Analytical results indicate that the second strain gradient theory has the capacity of eliminating all unphysical singularities of physical fields. |
学科领域 | 力学 |
DOI | 10.1016/j.ijsolstr.2006.10.011 |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000246943400004 |
WOS研究方向 | Mechanics |
WOS类目 | Mechanics |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/15511 |
专题 | 力学所知识产出(1956-2008) |
通讯作者 | Deng, SC (reprint author), CAS, Inst Mech, State Key LNM, Beijing 100080, Peoples R China. |
推荐引用方式 GB/T 7714 | Deng SC,Liu JX,Liang NG,et al. Wedge and Twist Disclinations in Second Strain Gradient Elasticity[J]. International Journal of Solids and Structures,2007,44,11-12,:3646-3665. |
APA | 邓守春,刘金兴,梁乃刚,&Deng, SC .(2007).Wedge and Twist Disclinations in Second Strain Gradient Elasticity.International Journal of Solids and Structures,44(11-12),3646-3665. |
MLA | 邓守春,et al."Wedge and Twist Disclinations in Second Strain Gradient Elasticity".International Journal of Solids and Structures 44.11-12(2007):3646-3665. |
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