摘要
迄今有关异性材料的研究资料表明,不同材料的屈服准则,宜用不同次方的函数描述。但是,能描述正交异性的,目前只有二次函数和四次函数两种形式的屈服准则,不敷应用。本文提出了一个正交异性任意次方式屈服函数。对一些材料的应用表明,预测结果良好。
Hosford has very recently pointed out that all existing non-quadratic anisotropic yield criteria have their own limitations [7]. Most of them are limited by assumption of planar isotropy. Only one proposed by Gotoh can accommodate planar anisotropy of orthotropic metal sheet, but it is limited by assumption of a fourth order function. The most important contribution of this paper is believed to be: a new non-quadratic anisotropic yield criterion is developed (Eq.(8) in full paper). Eq.(8) is not limited by assumption of planar isotropy nor by assumption of a fourth order function. Hosford has attempted also to generalize his non-quadratic anisotropic yield criterion to accommodate planar anisotropy of orthotropic metal sheet but his attempt ended in failure (non-quadratic criterion reduces to quadratic criterion) [8]. Eq.(22) in this paper shows that the present yield criterion (eq.(8)) is a real non-quadratic orthotropic yield criterion, which does not have to reduce to a quadratic one as Hosford's does. In order to check the accuracy of the present non-quadratic anisotropic yield criterion, several plastic anisotropic problems have been analyzed and calculated in this paper. A comparison between the predicted results and the experimental data of several kinds of metal sheet shows that they are all in good agreement. Such satisfactory predicted results cannot be obtained using any one of existing anisotropic yield criteria.
出处
《西北工业大学学报》
EI
CAS
CSCD
北大核心
1989年第4期401-412,共12页
Journal of Northwestern Polytechnical University
关键词
正交异性
非二次屈服准则
局限性
面内同性
orthotropy, non-quadratic yield criterion, limitation, planar anisotropy.
