Effective Elastic Stiffness Tensor and Ultrasonic Velocities for 3D Printed Polycrystals with Pores and Texture

IF 1 4区材料科学 Q3 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Research in Nondestructive Evaluation Pub Date : 2022-09-03 DOI:10.1080/09349847.2022.2151058

Ruo-yu Tan, Yongfeng Song, Xiongbing Li, Shu Cheng, Pei-jun Ni

{"title":"Effective Elastic Stiffness Tensor and Ultrasonic Velocities for 3D Printed Polycrystals with Pores and Texture","authors":"Ruo-yu Tan, Yongfeng Song, Xiongbing Li, Shu Cheng, Pei-jun Ni","doi":"10.1080/09349847.2022.2151058","DOIUrl":null,"url":null,"abstract":"ABSTRACT This paper focuses on the micromechanical modeling of pores and texture in 3D-printed polycrystals. A Gaussian-shape approximation is used to describe the orientation distribution function (ODF) and construct the initial homogenization model of the representative volume element (RVE). Spherical and ellipsoidal pores of varying sizes are added in stages to the RVE for homogenization, utilizing the modified Mori-Tanaka (MT) scheme in conjunction with the stepwise iterative method. Wherein, the mechanical interactions between pores and the spatial distribution of pore locations could be taken into account, when developing a cross-scale model from microstructure to macroelasticity. After obtaining the final elastic stiffness tensor, the Christoffel equation is combined with the Cardano’s formula to derive a closed form solution for ultrasonic velocities depending on microstructure. According to the numerical results, this method can effectively capture the behavior characteristics of pores and texture on the elastic stiffness tensor, average velocity, and velocity distribution.","PeriodicalId":54493,"journal":{"name":"Research in Nondestructive Evaluation","volume":"3 1","pages":"196 - 217"},"PeriodicalIF":1.0000,"publicationDate":"2022-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Research in Nondestructive Evaluation","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1080/09349847.2022.2151058","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}

引用次数: 0

Abstract

ABSTRACT This paper focuses on the micromechanical modeling of pores and texture in 3D-printed polycrystals. A Gaussian-shape approximation is used to describe the orientation distribution function (ODF) and construct the initial homogenization model of the representative volume element (RVE). Spherical and ellipsoidal pores of varying sizes are added in stages to the RVE for homogenization, utilizing the modified Mori-Tanaka (MT) scheme in conjunction with the stepwise iterative method. Wherein, the mechanical interactions between pores and the spatial distribution of pore locations could be taken into account, when developing a cross-scale model from microstructure to macroelasticity. After obtaining the final elastic stiffness tensor, the Christoffel equation is combined with the Cardano’s formula to derive a closed form solution for ultrasonic velocities depending on microstructure. According to the numerical results, this method can effectively capture the behavior characteristics of pores and texture on the elastic stiffness tensor, average velocity, and velocity distribution.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

具有孔隙和纹理的3D打印多晶体的有效弹性刚度张量和超声速度

本文主要研究了3d打印多晶中孔隙和纹理的微观力学建模。采用高斯形状近似来描述定向分布函数(ODF)，并构建了代表性体积元(RVE)的初始均匀化模型。利用改进的Mori-Tanaka (MT)格式结合逐步迭代法，将不同大小的球形和椭球状孔隙分阶段添加到RVE中进行均匀化。其中，在建立从微观结构到宏观弹性的跨尺度模型时，可以考虑孔隙之间的力学相互作用和孔隙位置的空间分布。在得到最终的弹性刚度张量后，将Christoffel方程与Cardano公式结合，推导出超声速度随微观结构变化的封闭形式解。数值结果表明，该方法可以有效地捕捉孔隙和纹理在弹性刚度张量、平均速度和速度分布上的行为特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Research in Nondestructive Evaluation 工程技术-材料科学：表征与测试

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Research in Nondestructive Evaluation® is the archival research journal of the American Society for Nondestructive Testing, Inc. RNDE® contains the results of original research in all areas of nondestructive evaluation (NDE). The journal covers experimental and theoretical investigations dealing with the scientific and engineering bases of NDE, its measurement and methodology, and a wide range of applications to materials and structures that relate to the entire life cycle, from manufacture to use and retirement. Illustrative topics include advances in the underlying science of acoustic, thermal, electrical, magnetic, optical and ionizing radiation techniques and their applications to NDE problems. These problems include the nondestructive characterization of a wide variety of material properties and their degradation in service, nonintrusive sensors for monitoring manufacturing and materials processes, new techniques and combinations of techniques for detecting and characterizing hidden discontinuities and distributed damage in materials, standardization concepts and quantitative approaches for advanced NDE techniques, and long-term continuous monitoring of structures and assemblies. Of particular interest is research which elucidates how to evaluate the effects of imperfect material condition, as quantified by nondestructive measurement, on the functional performance.