Dilemma between Physics and ISO Elastic Indentation Modulus
G. Kaupp
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引用次数: 5
Abstract
This paper challenges the ISO standard 14577 that determines the elastic indentation modulus by violating the first energy law, and omitting easily detected phase change onsets as well as initial surface effects under load. The double iteration for incorrect fitting indentation modulus to Hook's law Young's modulus of a standard with up to 11 free parameters must be cancelled and discontinued. The iterative evaluation of the elastic modulus Er-ISO can by far not be reproduced by iteration-free direct calculation of Er, when using the underlying formulas for S, hc, Ahc, and ε. For cubic aluminium the divergence amounts to a factor of 3.5 or 3.1, respectively (both smaller for the non-iterated calculations). Every interpretation of indentation moduli as single unidirectional "Young's moduli" is false. They are mixtures from all directions and include shear moduli. The three different packing diagrams of body centered cubic α-iron exemplify the mixture of three independent Young's moduli (and thus also three shear moduli) even in this simple but already anisotropic case. More linear moduli ensue in lower symmetry crystals as exemplified with α-quartz. The first physical indentation modulus is deduced by removal of the physical errors of Er-ISO, or after indenter compliance correction EISO. Ephys does no longer violate the energy law. Five face-dependent elastic indentation moduli of α-quartz at the obsolete Er-ISO level and two tensional Hook-law Young's moduli are compared with all of its six resonance ultrasound spectroscopy (RUS) evaluated Young's moduli, and with the bulk modulus. The dilemma between ISO and physics is particularly detrimental, as EISO is used for the calculation of very frequently applied mechanical parameters. These propagate the errors into failure risks of falsely calculated materials with severe violation of the basic energy law and other physical laws for daily life. Difficulties with the urgent settlement by new ISO standards are discussed. First suggestions for the use of Ephys, or Sphys, or eventually measured bulk modulus K are made. This should be urgently evaluated and discussed. *Corresponding author: Gerd Kaupp, University of Oldenburg, Diekweg 15, D-26188 Edewecht, Germany, Tel: 4944868386; Fax: 4486920704; E-mail: gerd.kaupp@uni-oldenburg.de Received October 28, 2017; Accepted December 11, 2017; Published December 21, 2017 Citation: Kaupp G (2017) Dilemma between Physics and ISO Elastic Indentation Modulus. J Material Sci Eng 6: 402. doi: 10.4172/2169-0022.1000402 Copyright: © 2017 Kaupp G. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
物理和ISO弹性压痕模量之间的困境
本文挑战了ISO 14577标准,该标准通过违反第一能量定律来确定弹性压痕模量,并且忽略了易于检测的相变开始以及载荷下的初始表面效应。有多达11个自由参数的标准的胡克定律杨氏模量与压痕模量拟合不正确的双迭代必须取消和停止。当使用S、hc、Ahc和ε的基础公式时,弹性模量Er- iso的迭代计算到目前为止还不能通过无迭代直接计算Er来重现。对于立方铝,散度分别为3.5或3.1倍(对于非迭代计算,两者都较小)。将缩进模量解释为单一单向的“杨氏模量”都是错误的。它们是来自各个方向的混合物,包括剪切模量。体心立方α-铁的三种不同的堆积图举例说明了三个独立的杨氏模量(因此也是三个剪切模量)的混合,即使在这个简单但已经各向异性的情况下。α-石英的对称性越低,线性模量越大。第一个物理压痕模量是通过去除Er-ISO的物理误差,或在压痕柔度校正EISO后推导出来的。埃弗斯不再违反能源法。将α-石英在过时的Er-ISO水平上的5个面相关弹性压痕模量和2个张拉Hook-law杨氏模量与其所有6个共振超声光谱(RUS)评估的杨氏模量进行了比较,并与体模量进行了比较。在ISO和物理学之间的困境是特别有害的,因为EISO用于计算非常频繁应用的机械参数。这些将误差传播为错误计算的材料的失效风险,严重违反了日常生活中的基本能量定律和其他物理定律。讨论了新ISO标准紧急解决的困难。提出了使用Ephys或Sphys或最终测量体积模量K的第一个建议。这一点应紧急加以评价和讨论。*通讯作者:Gerd Kaupp, University of Oldenburg, Diekweg 15, D-26188 edeweht, Germany, Tel: 4944868386;传真:4486920704;邮箱:gerd.kaupp@uni-oldenburg.de 2017年10月28日收到;2017年12月11日录用;引用本文:Kaupp G(2017)物理与ISO弹性压痕模量之间的困境。[J] .材料工程学报,6(6):444 - 444。版权:©2017 Kaupp G.这是一篇根据知识共享署名许可条款发布的开放获取文章,允许在任何媒体上不受限制地使用、分发和复制,前提是注明原作者和来源。
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