Developing an Implicit Creep Model From Open Literature Data

W. D. Day
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Abstract

As pressure ratios and firing temperatures continue to rise, creep becomes of greater concern everywhere within a gas turbine engine. As a rule of thumb, just a 14°C increase in metal temperature can halve the expected rupture life of a part. In the past, companies might be satisfied with conservative creep estimates based on Larson-Miller-Parameter curves and 1D calculations. Now companies need functional implicit-creep models with finite element analysis for an ever-increasing number of materials. Obtaining adequate test data to create a good creep prediction model is an expensive and time-consuming proposition. Test costs depend on temperature, material, and location, but a single, 10,000hr, rupture test may reasonably be expected to cost > $20,000. Other than large OEMs, small companies and individuals lack the resources to create creep models from their own data. This paper will lead the reader through the creation of a modified theta projection creep model of Haynes 282, a high-temperature, combustion alloy, using only literature data. First, literature data is collected and reviewed. Data consists of very few complete curves, estimated stresses for rupture and 1% strain, and discrete times to individual strains for individual tests. When adequate data exists, individual tests are fit to theta projection model curves. These “local” theta fits of different test conditions are used as input for the global model. Global fits of theta parameters, as a function of stress and temperature, are made from the full data set. As the global creep model is improved, correction factors introduced to account for true stress and strain effects. A statistical analysis is made of actual rupture time versus predicted onset of failure time, theta5=1. A time-based scatter factor is determined to evaluate temperature margin required to ensure reliability. After the creep model was completed, Haynes International, the material inventor, provided specific test conditions (stress and temperature) of 5 tests that had already been run. Creep predictions were generated for these test conditions, before viewing the actual results. The creep model predicted strain curves matched actual tests very well, both in shape and time to rupture. Continued refinement is possible as more data is acquired.
从开放文献数据开发隐式蠕变模型
随着压力比和点火温度的不断升高,蠕变在燃气涡轮发动机中变得越来越受关注。根据经验,金属温度只要升高14°C,零件的预期断裂寿命就会减半。过去,公司可能满足于基于Larson-Miller-Parameter曲线和1D计算的保守蠕变估计。现在,公司需要对越来越多的材料进行有限元分析的功能隐式蠕变模型。获得足够的试验数据来创建一个好的蠕变预测模型是一个昂贵和耗时的命题。测试成本取决于温度、材料和地点,但单次10,000小时的破裂测试可能需要花费超过20,000美元。除了大型原始设备制造商,小公司和个人缺乏从自己的数据中创建蠕变模型的资源。本文将引导读者通过创建一个修改的θ投影蠕变模型Haynes 282,高温,燃烧合金,仅使用文献数据。首先,收集文献资料并进行综述。数据包括很少的完整曲线,估计的破裂应力和1%的应变,以及个别测试的个别应变的离散时间。当有足够的数据存在时,单个测试适合theta投影模型曲线。这些不同测试条件的“局部”θ拟合被用作全局模型的输入。θ参数的全局拟合,作为应力和温度的函数,从完整的数据集。随着整体蠕变模型的改进,引入了校正因子来考虑真实的应力和应变影响。对实际破裂时间与预测开始失效时间进行统计分析,theta5=1。确定了基于时间的散射因子来评估确保可靠性所需的温度裕度。蠕变模型完成后,材料发明者Haynes International提供了已经运行的5项试验的具体试验条件(应力和温度)。在查看实际结果之前,根据这些测试条件生成蠕变预测。蠕变模型预测的应变曲线在形状和破裂时间上与实际试验结果吻合较好。随着获得的数据越来越多,可以继续改进。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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