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1)  gradient plasticity
梯度塑性
1.
Based on strain gradient plasticity theory, the second gradient term is introduced into the yield function.
采用梯度塑性理论研究单轴压缩作用下岩石变形局部化,得到了单轴压缩作用下岩石变形局部化带宽度的一维、二维解析解,为实验测定内部材料长度参数提供了理论依据。
2.
The finite element method of elasto-gradient plasticity is proposed in this paper, and some problems of the shear band of plane stress have been calculated by this method.
提出弹性梯度塑性有限元方法,并对平面应力剪切带问题进行计算。
3.
A numerical method attributed to a solution procedure of linear complementary problem(LCP) for gradient plasticity continuum is proposed.
梯度塑性连续体提出了一个归结为线性互补问题的数值分析方法。
2)  gradient-dependent plasticity
梯度塑性
1.
In order to circumvent the mesh-dependence problem in calculating the shear band for slope stability by finite element methods,the gradient-dependent plasticity theory is adopted.
为了解决边坡稳定分析中剪切带有限元网格的依赖性问题,采用梯度塑性理论,从本构关系中引入特征长度入手,建立计算模型。
2.
The interaction between the two kinds of internal length scales is analyzed when the gradient-dependent plasticity is introduced to a multiphase material model to study the dynamic strain localization phenomenon of saturated and partially saturated porous media.
讨论了引入梯度塑性模型情况下的含液多孔介质双重内尺度律的特征以及相互作用问题。
3.
Based on the gradient-dependent plasticity theory,the coupling behavior of the elastic and plastic deformation of rock is considered and a relatively elastic-plastic coupling model is proposed for a simple rock specimen in this paper.
梯度塑性模型的基础上,假定弹性模量是塑性应变的函数,考虑应变局部化带带内和带外弹性模量的不同变化,对单轴压缩岩样作了考虑弹塑性耦合的梯度塑性分析。
3)  strain gradient plasticity
应变梯度塑性
1.
Simulation of size effect on strength and elongation of Al alloy wity rarticles reinforcement using strain gradient plasticity concept;
运用应变梯度塑性理论模拟颗粒增强铝合金强度及延伸率的尺寸效应
2.
A modified micro-bend test method for determining the intrinsic materials length in strain gradient plasticity has been developed and described.
提出了一种用微弯曲实验测定材料的与应变梯度塑性相联系的内禀长度的新方法。
3.
Therefore, it is necessary to establish new constitutive models—strain gradient plasticity theories which possess the intrinsic material length.
经典塑性理论不含任何长度参数,因此无法预测尺寸效应,建立包含内禀材料长度参数的新的本构模型—应变梯度塑性理论就势在必行。
4)  gradient-dependent plasticity
梯度塑性理论
1.
Analysis of necking under condition of uniaxial tension of low-carbon steel specimen based on gradient-dependent plasticity;
基于梯度塑性理论的单向拉伸低碳钢试样颈缩分析
2.
Analysis of deformation and stability of rock specimen under uniaxial compressive and shear stresses based on gradient-dependent plasticity;
基于梯度塑性理论的岩样在压剪条件下变形及稳定性分析
3.
Application prospect of gradient-dependent plasticity in forecasting geological hazards;
梯度塑性理论及其在地质灾害预测研究中的应用
5)  plasticity gradient volume element
塑性梯度体元
1.
Study of plasticity gradient volume element and start-up mechanism of strain localization;
塑性梯度体元及应变局部化启动机制分析
6)  generalized gradient-dependent plasticity
广义塑性梯度
1.
Considering the Laplace operator of plastic strains in the double yield functionst,he control equations of the generalized gradient-dependent plasticity model are established to describe both the strain localization characteristics and the basic mechanical characteristics of geomaterials.
广义塑性梯度模型在双屈服函数中分别考虑塑性剪切应变和塑性体积应变的拉普拉斯项,用虚功方程和屈服函数的一致性条件建立控制微分方程。
补充资料:G(?)teaux梯度


G(?)teaux梯度
Gateaux gradient

‘凌如以梯度【珑加倒优脚曲斌;raTo rp”脱.TI,田-咖李回H的俘甲f夺丁卓x0牛的 H中与f在x。的C自妞.玫导数(G云姗uxderi珊tiVe)f。(x。)相等的向量.换句话说,G舀teaux梯度由公式 f(x。+h)二f(凡)+(无(x。),h)+。(h)定义,其中。(th)/t~0,当t~0.在”维Eodid空间中C冶姗以梯度f。(x。)为具有坐标 了叮(x。)___盯(凡)、 \口x:”口x,了的向量,并简称为梯度(脚djent).C冶如ux梯度概念可以推广到下列情形:X为侧组日的n流形(有限维)或无穷维Hilbert流形,而f为X上光滑实函数.f在其C冶如以梯度方向上的增长大于过此点任何其他方向的增长. B.M.THxo栩叼Po.撰郑维行译沈永欢、王声望校
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