当前位置: X-MOL 学术Int. J. Plasticity › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
New Formulation of Nonlinear Kinematic Hardening Model, Part I: A Dirac Delta Function Approach,
International Journal of Plasticity ( IF 9.8 ) Pub Date : 2019-11-01 , DOI: 10.1016/j.ijplas.2019.07.006
Volodymyr Okorokov , Yevgen Gorash , Donald Mackenzie , Ralph van Rijswick

Abstract A new mathematical modelling framework for simulation of metal cyclic plasticity is proposed and experimental validation based on tension-compression cyclic testing of S355J2 low carbon structural steel presented over the two parts of this paper. The advantages and limitations of the stress-strain curve shape modelling given by “Armstrong and Frederick” type hardening rules are discussed and a new formulation for kinematic hardening is proposed for more accurate representation of the stress-strain dependence under cyclic loading conditions. The proposed model is shown to describe the shape of the stress-strain curve accurately under various different loading conditions. Transition effects occurring at loading reversals are incorporated through a new framework of Dirac delta functions. In addition to the yield surface, stress supersurfaces able to expand and instantly move to simulate a shift of stress-strain curves during loading reversals are determined. This also enables inclusion of the behaviour of monotonic stress-strain curves with yield plateau deformation in one mathematical model. The influence of the first stress invariant on the shape of a stress-strain curve in tension and compression directions observed in many metals is incorporated into the kinematic hardening rule. The ability of the model to accurately describe transition from elastic to elastic-plastic deformation at small offset strain yield points naturally accounts for nonlinearity of an unloading stress-strain curve after plastic pre-strain. Development of the model to include mixed cyclic hardening/softening, ratcheting and mean stress relaxation is presented in a companion paper (Part II), which includes experimental validation of the modelling framework.

中文翻译:

非线性运动硬化模型的新公式,第一部分:Dirac Delta 函数方法,

摘要 本文提出了一种新的金属循环塑性模拟数学建模框架,并基于S355J2低碳结构钢的拉压循环试验进行了实验验证,分两部分进行了介绍。讨论了由“阿姆斯壮和弗雷德里克”型硬化规则给出的应力-应变曲线形状建模的优点和局限性,并提出了一种新的运动硬化公式,以更准确地表示循环加载条件下的应力-应变依赖性。所提出的模型可以准确地描述各种不同载荷条件下的应力-应变曲线形状。通过新的狄拉克 delta 函数框架合并了在加载反转时发生的过渡效应。除了屈服面,确定了能够扩展并立即移动以模拟加载反转期间应力-应变曲线的移动的应力超表面。这也使得能够在一个数学模型中包含具有屈服平台变形的单调应力-应变曲线的行为。在许多金属中观察到的第一应力不变量对拉伸和压缩方向上的应力-应变曲线形状的影响被纳入运动硬化规则。该模型能够准确描述在小偏移应变屈服点处从弹性变形到弹塑性变形的转变,这自然解释了塑性预应变后卸载应力-应变曲线的非线性。模型的开发包括混合循环硬化/软化,
更新日期:2019-11-01
down
wechat
bug