Exegesis of Sect. III.B from “Fundamentals of the Mechanics of Continua” by E. Hellinger
Exegesis of Sect. III.B from “Fundamentals of the Mechanics of Continua” by E. Hellinger
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E. Hellinger 的《康体佳力学基础》第 III.B 节的注释
DOI：
10.1002/zamm.201700112
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
F. dell’Isola
中科院分区：
文献类型：
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作者：
S. Eugster;F. dell’Isola
这是我们第三篇也是最后一篇关于基础评论文章DIE ALLGEMEINEN ANSÄTZE DER MECHANIK DER KONTINUA的解释性文章，发表在Encyklopädie DER mathematischen Wissenschaften mit Einschluss ihrer Anwendungen， Bd. IV‐4,Hft. 5(1913)，由Ernst Hellinger撰写，其中包含从第663页开始的剩余文本的翻译和评论。6小节（第9-15号）讨论了先前开发的概念性工具的应用：有效弹性理论、理想流体动力学、内摩擦和弹性滞后模型、毛细理论、光学、电动力学基本方程、热力学基础介绍以及连续体理论和相对论之间的关系。1913年，海灵格在对当代知识进行有效整合的同时，参考了相关文献。考虑到符号差异与所呈现的科学内容的特征无关，海灵格的文章表明，在1913年，特鲁斯戴尔和图平以及特鲁斯戴尔和诺尔中给出的大部分见解的有效概要已经可用。我们在本文中评估了两种人所扮演的不同角色，一种是创新其科学学科的先驱者，另一种是博学多才的学者，他们的角色是重新整理现有的知识，并向更广泛的受众宣传在某一学科中已经获得的最重要的技术成果。
This is our third and last exegetic essay on the fundamental review article DIE ALLGEMEINEN ANSÄTZE DER MECHANIK DER KONTINUA in the Encyklopädie der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen, Bd. IV‐4, Hft. 5 (1913) by Ernst Hellinger which contains the translation and the commentary of the remaining text starting from p. 663. The six subsections, No. 9–15, deal with the applications of the previously developed conceptual tools to formulate: an effective theory of elasticity, the dynamics of ideal fluids, models for internal friction and elastic hysteresis, a theory of capillarity, optics, the fundamental equations of electrodynamics, an introduction of the thermodynamical foundations and the relationship between the theory of continua and the theory of relativity. Hellinger refers to relevant literature while consolidating in an effective way the contemporary knowledge in 1913. Considering notational differences as being irrelevant for the characterization of the presented scientific content, Hellinger's article shows that an effective compendium of a large part of the insights given in Truesdell and Toupin and Truesdell and Noll has already been available in 1913. We include in this paper an assessment of the different roles played by pioneers, who are innovating their scientific discipline, and by erudite scholars whose role consists in re‐ordering existent knowledge and advertising to a wider audience the most important technical results already obtained in a given discipline.
具有不可延伸纤维的二维织物片材的第二梯度配方
DOI：
10.1007/s00033-016-0701-8
发表时间：
2016
期刊：
Zeitschrift für angewandte Mathematik und Physik
影响因子：
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作者：
L. Placidi;L. Greco;Bucci S;E. Turco;N. L. Rizzi
通讯作者：
N. L. Rizzi