A texture tensor to quantify deformations

Miguel Aubouy; Yi Jiang; James A. Glazier; Francois Graner

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A texture tensor to quantify deformations

机译：纹理张量以量化变形

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摘要

Under mechanical deformation, most materials exhibit both elastic and fluid (or plastic) responses. No existing formalism derived from microscopic principles encompasses both their fluid-like and solid-like aspects. We define the statistical texture tensor to quantify the intuitive notion of stored deformation. This tensor links microscopic and macroscopic descriptions of the material, and extends the definition of elastic strain.

机译：在机械变形下，大多数材料同时表现出弹性和流体（或塑料）响应。从微观原理派生出来的形式主义并没有涵盖它们的流体状和固体状。我们定义统计纹理张量以量化存储变形的直观概念。该张量链接了材料的微观和宏观描述，并扩展了弹性应变的定义。

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来源
《Granular matter》 |2003年第2期|p.67-70|共4页
作者
Miguel Aubouy; Yi Jiang; James A. Glazier; Francois Graner;
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作者单位

SI3M, D.R.F.M.C., CEA, 38054 Grenoble Cedex 9, France;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类工程材料学;
关键词
strain; connected network; elasticity of disordered media; deformation and plasticity;

机译：应变;连接网络;无序介质的弹性;变形和可塑性;

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专利

1. A texture tensor to quantify deformations: the example of two-dimensional flowing foams [J] . Marius Asipauskas, Miguel Aubouy, James A. Glazier, Granular matter . 2003,第2期

机译：纹理张量以量化变形：二维流动泡沫的示例
2. The axiomatic introduction of arbitrary strain tensors by Hans Richter - a commented translation of 'Strain tensor, strain deviator and stress tensor for finite deformations' [J] . Mathematics and mechanics of solids: MMS . 2020,第5期

机译：Hans Richter的任意应变张量的公理引入 - 一种注释的'应变张量，应变偏差和有限变形压力张力的翻译'
3. Spatiotemporal maturation patterns of murine brain quantified by diffusion tensor MRI and deformation-based morphometry [J] . Ragini Verma, Susumu Mori, Dinggang Shen, Proceedings of the National Academy of Sciences of the United States of America . 2005,第19期

机译：弥散张量磁共振成像和基于变形的形态计量学定量的鼠脑时空成熟模式
4. Effect of Deformation-Induced Intragranular Microstructure on Plastic Anisotropy and Deformation Textures [C] . P. Van Houtte, B. Peeters 13th International Conference on Textures of Materials Pt.2 Aug 26-30, 2002 Seoul, Korea . 2002

机译：变形引起的晶粒内微观结构对塑性各向异性和变形织构的影响
5. Inference and Uncertainty Quantification for High-dimensional Tensor Regression with Tensor Decompositions and Bayesian Methods [D] . Spencer, Daniel. 2020

机译：具有张量分解和贝叶斯方法的高维张量回归的推理和不确定性量化
6. Spatiotemporal maturation patterns of murine brain quantified by diffusion tensor MRI and deformation-based morphometry [O] . Ragini Verma, Susumu Mori, Dinggang Shen, 2005

机译：弥散张量磁共振成像和基于变形的形态计量学定量的鼠脑时空成熟模式
7. A texture tensor to quantify deformations [O] . Aubouy, Miguel, Jiang, Yi, Glazier, James A., 2003

机译：用于量化变形的纹理张量
8. Cube texture generation dependence on deformation textures in cold rolled OFE copper [R] . Necker, C. T., Rollett, A. D., Doherty, R. D. 1993

机译：多维数据集纹理生成依赖于冷轧OFE铜中的变形纹理

A texture tensor to quantify deformations

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