查询词典 hyperbolic

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

The method uses an implicit iterative scheme with a hyperbolic sine transformation for the matrix potential, takes the advancing front self-adaptive grid, and resolves problem of too much account in calculation to dry earth's surface by fixed grid method. Results indicate that calculation speed is increased greatly and errors are less than by fixed grid method.

该方法使用了水土势双曲正弦变换的隐式差分格式，并采取了自动向下搜索的空间网格形式，解决了干燥地表固定网格计算量过大的问题，同时计算速度大大提高，计算误差小于固定网格法的误差值。

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。

In order to select the most appropriate method for the actual situation at the South China Sea, this paper designed models and used data from some region in the South China Sea to compare four RTP-L methods (the hyperbolic sine method, the suppression RTP filter method, the direct damping method and the pseudo-inclination method) in the wavenumber domain which change the RTP operator.

本文针对其中4种在频率域对化极因子做处理的方法(双曲正弦法，压制因子法，直接阻尼法，伪倾角法)，设计模型进行对比，并用南海某地区的实测数据进行4种方法的化极效果对比，选出一种最符合南海地区实际情况的化极方法。

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 hyperbolic sine relationship can satisfactorily correlate strain rate with flow stress by introducing an Arrhenius term which involves thermal activation parameters, i.

探求了Al-Sn-Si合金的高温变形流变特征及其软化机制，指出了Sn造成的晶间粘滞性流动的变形机制，建立了热变形稳态流变应力方程式。

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。

"Please accept this talisman as a token of our thanks."

请收下这个护身符以表达我们的感谢。

If I have that magic, I will be more acceptable in the society.

如果我拥有那种魔法，我将更加被这个社会所容纳。