An Approach for MMC Component Design

J. Ahmad, U. Santhosh, G. Newaz, T. Nicholas
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Abstract

Titanium based metal matrix composites (MMCs) with continuous fibers first gained prominence as enabling structural materials for the National Aerospace Plane (NASP). Some of the peculiar deformation and damage characteristics of MMCs were identified, explained, and modeled as part of the NASP program activities in the early 1990s. Much was discovered and learned regarding the behavior of MMCs under a variety of thermal and mechanical load combinations. Analytical and numerical models of deformation and damage were developed and validated. Significant progress was achieved in proper viscoplastic characterization of the matrix materials and micromechanics based deformation and damage modeling of MMCs. These research activities, which actually outlasted the NASP program, resulted in major advances in understanding, characterization, and modeling of MMCs. However, virtually all-modeling activity remained focused on unidirectional loading of MMCs. To some extent, virtually all aircraft propulsion system and structural components are subjected to multiaxial stresses. Therefore, while the understanding and the modeling techniques developed under the NASP program represented a major step forward, additional steps were needed to reach a level where models could be used in the design and life prediction of actual components. Overlapping NASP related activities, efforts were underway by the major jet engine manufacturers under the Integrated High Performance Turbine Engine Technology (IHPTET) program to design and test propulsion system components involving the use of MMCs. These activities were mainly focused on fabricating and testing metallic rotors with unidirectional MMC inserts. The inserts were toroids of various cross-sections, with fibers along the circumferential direction. Initial sub-component and component level testing of rings and rotors indicated that the existing design and stress analysis methods were inadequate in predicting the deformation and damage behavior of MMCs under biaxial (hoop and radial) stresses. Instigated by IHPTET needs, a project was initiated with the following objectives: (a) develop a theory for predicting MMC damage and deformation response under multiaxial stress states caused by general time dependent thermomechanical loading, (b) validate the theory by comparing predictions with laboratory test measurements, and (c) incorporate the theory in a stress analysis procedure that can be used by design engineers. The project was focused on unidirectional titanium based matrix composites with silicon carbide fibers. The paper will consist of a summary of progress that has been achieved in the above project. Specifically, outline of a theory for predicting deformation and damage of MMCs under multiaxial stress states will be presented. The theory includes consideration of dominant damage mechanisms associated with titanium matrix composites, processing induced residual stresses, and time, temperature, and strain rate dependent inelastic deformation. This will be followed by a description of how the theory is implemented in a nonlinear finite element analysis procedure. Finally, examples of comparison between theoretical predictions and experimental measurements will be presented.
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一种MMC组件设计方法
具有连续纤维的钛基金属基复合材料(MMCs)首先作为国家航空航天飞机(NASP)的使能结构材料而受到重视。在20世纪90年代早期,作为NASP项目活动的一部分,mmc的一些特殊变形和损伤特征被识别、解释和建模。关于mmc在各种热载荷和机械载荷组合下的行为,我们发现和了解了很多。建立并验证了变形和损伤的解析模型和数值模型。在合适的基体材料粘塑性表征和基于微力学的mmc变形和损伤建模方面取得了重大进展。这些研究活动实际上比NASP计划持续的时间更长,导致了mmc在理解、表征和建模方面的重大进展。然而,几乎所有的建模活动都集中在mmc的单向加载上。在某种程度上,几乎所有的飞机推进系统和结构部件都要承受多轴应力。因此,虽然在NASP计划下开发的理解和建模技术代表了向前迈出的重要一步,但还需要额外的步骤来达到模型可以用于实际组件的设计和寿命预测的水平。与NASP相关的活动重叠,主要的喷气发动机制造商在集成高性能涡轮发动机技术(ihppet)项目下正在努力设计和测试涉及mmc使用的推进系统组件。这些活动主要集中在制造和测试带有单向MMC插入的金属转子。插入物为不同截面的环形体,纤维沿周向排列。环和转子的初始子部件和部件水平试验表明,现有的设计和应力分析方法在预测复合材料在双轴(环向和径向)应力作用下的变形和损伤行为方面存在不足。在ihtpet需求的推动下,启动了一个项目,其目标如下:(a)开发一种理论,用于预测由一般时间相关的热机械载荷引起的多轴应力状态下的MMC损伤和变形响应;(b)通过将预测结果与实验室测试测量结果进行比较来验证该理论;(c)将该理论纳入设计工程师可以使用的应力分析程序。该项目主要研究了含碳化硅纤维的单向钛基复合材料。该文件将包括对上述项目所取得进展的总结。具体地说,概述了一种预测多轴应力状态下mmc变形和损伤的理论。该理论包括考虑与钛基复合材料相关的主要损伤机制,加工引起的残余应力,以及时间,温度和应变率相关的非弹性变形。接下来将介绍如何在非线性有限元分析过程中实现该理论。最后,将给出理论预测与实验测量的比较实例。
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