查询词典 variations equation

Given a hyperbolic plane H2(-1)=,whose sectional curvature k is function K is the Gaussian curvature of the conformal metric g = e2ug ,then K satisfies the conformal Gauss curvature equation .

设H~2(-1)=是具常截面曲率k==1的双曲平面，其中B={∈R~2：x~2+y~2＜1}是单位圆盘，g=4(dx~2+dy~2)/(1-x~2-y~2)~2是所谓的Poincaré度量。考虑H~2(-1)上的共形形变度量？

An accurate and simple computational method was developed to determine the apparent activation energy and material parameters of the hyperbolic sine constitutive equation based on one parameter nonlinear least squares regression.

基于单参数非线性最小平方法，提出了一种优化求解双曲线本构方程中表观激活能和其他材料常数的方法。

The results show that relationship between flow stress and strain rate is applied to hyperbolic sine equation in the hot compressive deformation of 6061 aluminum alloy; at the same time, relationship between logarithmic hyperbolic sine of its flow stre...

研究表明，6061铝合金热压缩塑性变形时的流变应力和应变速率之间的关系满足双曲正弦函数关系式；其热压缩塑性变形时流变应力的双曲正弦对数项与绝对温度倒数之间满足线性关系，其高温压缩变形受热激活能的控制。

The flow stress increases with increasing the strain rate, and decreases with increasing the deforming temperature, which can be described by a constitutive equation in hyperbolic sine function with the hot deformation activation energy of 209.84 kJ/mol, and can also be described by a Zener-Hollomon parameter.

该合金热压缩变形的流变应力行为可用双曲正弦形式的本构方程来描述，也可用Zener-Hollomon参数来描述，其变形激活能为209.84 kJ/mol。

Heat resistant steel T122; hot deformation ; hyperbolic sine constitutive equation ; critical strain

T122耐热钢；热变形；双曲线本构方程；临界应变量

Keywords hyperbolic sine equation;flow stress;activation energy;non-linear least squares

双曲线方程；流变应力；激活能；非线性最小平方

The material parameters in the hyperbolic sine constitutive equation were determined with regression analysis, and the DRX activation energy was thus obtained to be 269 kJ/mol. The relationship between critical strain, peak strain/stress and the dimensionless parameter Z/A were established by linear regression.

采用回归法确定了双曲线本构方程中的材料常数和动态再结晶激活能(269kJ/mol)，并建立了临界应变、峰值应变和峰值应力与无量纲参数Z/A之间的关系。

A hyperbolic sine relationship is found to correlate well the flow stress with the strain rate, and an Arrhenius relationship with the temperature. The strain hardening coefficient n and deformation activation energy Q are evaluated by linear regression analysis. And the flow stress constitutive equation of the alloy during hot compression is obtained.

应变速率和流变应力之间满足指数关系，温度和流变应力之间满足Arrhenius关系，通过线性回归分析计算出该材料的应变硬化指数n以及变形激活能Q，获得该铝合金高温条件下的流变应力本构方程。

A method was developed to determine the activation energy and material parameters in the hyperbolic sine constitutive equation.The activation energies determined are 570 kJ／mol and 548 kJ／mol for steel T122 in saturation stress and peak stress,respectively.The values of critical strain for dynamic recrystalli...

采用应变硬化速率—应力曲线图较精确地获得了饱和流变应力和峰值应力；用回归法确定了双曲线本构方程中的变形激活能及材料常数，确定了T122钢在饱和应力和峰值应力条件下的变形激活能分别为570和548 kJ／mol；采用力学方法直接从流变曲线确定了T122钢发生动态再结晶的临界应变量，并回归出临界应变量与Zener—Hollomon参数的关系式。

The results indicate that the flow stress of the alloy increases with increasing strain rate and decreasing deformation temperature. The flow stress increases with increasing strain until the stress reaches the peak value, then the flow stress remains constant, which indicates that dynamic recrystallization happens during deformation. The flow behaviors are described by the hyperbolic sine constitutive equation, and the activation energy calculated is 337.75 kJ/mol. The as-forged microstructure consists of refined α2/γ and γ grains, and the grains are much homogeneous than before. The B2 phase distributes uniformly at the grain boundary of α2/γ and γ grains. The B2 phase decreases with increasing deformation temperature.

结果表明：流变应力随着应变速率提高和变形温度降低而增大；在变形过程中，流变应力随着变形量增大而增大，当流变应力达到峰值后趋于平稳，表明合金在变形过程中发生了动态再结晶；热变形过程的流变应力可采用双曲正弦本构关系来描述，平均激活能为337.75 kJ/mol；从合金的组织演化过程中可以看出，合金中不均匀的原始组织得到明显均匀化，变形后的组织是由α2/γ层片晶团和γ晶粒组成的双态组织，在α2/γ层片晶团和γ晶粒的晶界交界处发现分布均匀的B2相，并且随着变形温度升高B2相数量逐渐减少。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。