Obtaining shear relaxation modulus and creep compliance of linear viscoelastic materials from instrumented indentation using axisymmetric indenters of power-law profiles

Yang-Tse Cheng; Fuqian Yang

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Obtaining shear relaxation modulus and creep compliance of linear viscoelastic materials from instrumented indentation using axisymmetric indenters of power-law profiles

机译：使用幂律轮廓的轴对称压头从仪器压痕获得线性粘弹性材料的剪切松弛模量和蠕变柔度

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摘要

Using Laplace transform, we solve the inverse problem of obtaining the shear relaxation modulus and creep compliance of linear viscoelastic solids from indentation by axisymmetric indenters of power-law profiles. We identify several simple, though nontrivial, loading paths for carrying out indentation measurements such that the inverse problem has analytical solutions. We show that the shear relaxation modulus and creep compliance may be readily obtained using the newly derived analytical expressions together with proposed indentation loading paths.

机译：使用拉普拉斯变换，我们解决了反问题，即通过幂律剖面的轴对称压头通过压痕获得线性粘弹性固体的剪切松弛模量和蠕变柔量。我们确定了几种简单但不平凡的加载路径来进行压痕测量，从而使反问题具有解析解。我们表明，可以使用新推导的解析表达式以及建议的压痕加载路径轻松获得剪切松弛模量和蠕变柔度。

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来源
《Journal of Materials Research》 |2009年第10期|3013-3017|共5页
作者
Yang-Tse Cheng; Fuqian Yang;
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作者单位

Department of Chemical and Materials Engineering, University of Kentucky, Lexington, Kentucky 40506;

Department of Chemical and Materials Engineering, University of Kentucky, Lexington, Kentucky 40506;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
原文格式 PDF
正文语种 eng
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1. Methods of obtaining instantaneous modulus of viscoelastic solids using displacement-controlled instrumented indentation with axisymmetric indenters of arbitrary smooth profiles [J] . Yang-Tse Cheng, Che-Min Cheng, Wangyang Ni Materials Science and Engineering. A, Structural Materials: Properties, Microstructure and Processing . 2006,第1a2期

机译：使用带有任意光滑轮廓的轴对称压头的位移控制仪器压痕获得粘弹性固体瞬时模量的方法
2. Determination of shear creep compliance of linear viscoelastic solids by instrumented indentation when the contact area has a single maximum [J] . Guangjian Peng, Taihua Zhang, Yihui Feng, Journal of Materials Research . 2012,第12期

机译：当接触面积为单个最大值时，通过仪器压痕确定线性粘弹性固体的剪切蠕变柔度
3. Determination of shear creep compliance of linear viscoelastic-plastic solids by instrumented indentation [J] . Peng G., Zhang T., Feng Y., Polymer Testing . 2012,第8期

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4. Simultaneously obtaining the Young's relaxation modulus and shear relaxation modulus of an epoxy molding compound by using DMA [C] . Dao-Long Chen, Tz-Cheng Chiu, Tei-Chen Chen, IEEE Electronics Packaging Technology Conference . 2014

机译：使用DMA同时获得环氧模塑化合物的杨氏松弛模量和剪切松弛模量
5. Machine Learning Approach to Characterize Elastic, Viscoelastic, Relaxation and Creep Behavior of Materials [D] . Xu, Xianbo. 2020

机译：机器学习方法，以弹性，粘弹性，放松和材料蠕变行为
6. Limit case analysis of the stable indenter velocity method for obtaining creep stress exponents from constant load indentation creep tests [O] . J. Campbell, J. Dean, T. W. Clyne -1

机译：从恒定载荷压痕蠕变测试获得蠕变应力指数的稳定压头速度方法的极限情况分析
7. Methods of obtaining instantaneous modulus of viscoelastic solids using displacement-controlled instrumented indentation with axisymmetric indenters of arbitrary smooth profiles [O] . Yang-Tse Cheng, Che-Min Cheng, Wangyang Ni 2006

机译：使用轴对称压头的轴对称压痕获得粘弹性固体瞬时模量的方法

Obtaining shear relaxation modulus and creep compliance of linear viscoelastic materials from instrumented indentation using axisymmetric indenters of power-law profiles

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