查询词典 sine function

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。

Based on the dynamic materials model theories,hyperbolic sine equation and two Liapunov stability criteria,the processing maps of T122 heat resistant steel were constructed using the data obtained from isothermal hot compress test s by means of a Gleeble 3 500 simulator.

结果表明：T122钢在1085℃以上、应变速率小于0.37s-1压缩变形时，功率耗散效率达到峰值0.2，此时发生了完全动态再结晶；对于工业热加工，建议在变形温度为1085~1150℃和应变速率大于0.13s-1的范围内选择加工参数

The deformation mechanism is mainly the single-slip and cross-ship, the fracture mechanism is mainly the congregation of transgranular micro-hole, and large uniform deformation occurred before tough fracture, and therefore, the ability of plastic deformation and the mechanical properties of the material were remarkably improved. These fully indicate that the new melt-treatment developed in this work is an effective and advanced technique, and further testify that the improvement of metallurgical quality of the material is the key to enhance its mechanical properties, especially its plastic deformation performance. The results of tensile and compression tests at elevated temperature also indicate that the suitable hot-working temperature range is 400～450℃. 4. A steady-state plastic flow exists during the plastic deformation of the aluminum sheet used for pressure can at elevated temperature. A hyperbolic sine relationship can be satisfied between the steady-state flow stress and strain rate by introducing an Arrhenius term which involves some thermal activation parameters, i.

压力罐用铝材中的主要冶金缺陷为Al〓O〓夹杂物、气孔及富Fe杂质相；高效熔体处理显著改善了材料的冶金缺陷的存在形态，使含杂量明显减少、夹杂物尺寸变细小且分布均匀，富Fe杂质相变为细小、分布均匀的团球状或短棒状的复杂化合物，同时也明显细化了结晶组织；此外，由于高效熔体处理有效地减少了材料中裂纹萌生源数量，因而改变了材料的塑性变形微观过程及断裂方式，主要以单滑移和交滑移进行塑性变形，断裂方式为穿晶微孔聚集型，韧性断裂前产生了大量的均匀变形，不易出现变形失稳，从而显著提高了罐用铝材的塑变能力和力学性能。

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

正弦是股与弦的比例，余弦是余下的那条直角边与弦的比例。

Yet, Edith says, there was always money in the bank.

但是Edith说，她的银行户口里面总是有钱。

We have created a series of files that resolve this problem--one for each day of the 40 days of purpose.

我们制作一系列的档案去解决这问题---一个为标竿40天中的每一天。