Exegesis of Sect. II and III.A from “Fundamentals of the Mechanics of Continua” by E. Hellinger
Exegesis of Sect. II and III.A from “Fundamentals of the Mechanics of Continua” by E. Hellinger
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E. Hellinger 的《康体佳力学基础》第二节和第三节 A 的注释
DOI：
10.1002/zamm.201600293
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发表时间：
2018
期刊：
影响因子：
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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
这是关于基础评论文章DIE ALLGEMEINEN ANSÄTZE DER MECHANIK DER KONTINUA在Encyklopädie DER mathematischen Wissenschaften mit Einschluss ihrer Anwendungen， Bd. IV‐4,Hft. 5（1913）中的第二篇解释性文章，涉及pp. 629-662的翻译和评论。在这些页面中，讨论了场论的基本本构方程的设置，其公式是基于虚功原理或静止作用原理的。当代读者对本文提出的主题的兴趣仍然是实质性的，因为这篇文章显然包含了一些仍然是主题的考虑和愿景。然而，从科学史的角度来考察它也是一种认识论的兴趣。事实上，它代表了机械科学中一个重要部分的可用但被遗忘的来源。可得，因为它仍然以完整的形式存在于我们的图书馆中，但被遗忘，因为它是由一个逃到美国的犹太难民用德语写的，已经被连续介质力学的主流主导团体所忽视。海灵格和德国连续介质力学学派（我们在阅读本文时发现，这一学派甚至包括高斯本人！）的思想在翻译中被丢失或严重变形。我们认为，海灵格论文的命运是支持卢西奥·鲁索关于科学史观点的证据。我们的目的是追溯当前机械科学思想的起源到它们的原始来源。
This is a second 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 concerns the translation and the commentary of pp. 629–662. Within these pages, the setting of the basic constitutive equations for field theories, whose formulations are based on the principle of virtual work or on the principle of stationary action, are discussed. The interest for a contemporary reader for the herein presented subject is still substantial, as this article clearly contains some considerations and visions being still topical. However, there is also an epistemological interest in examining it from the point of view of a historian of science. Indeed, it represents an available but forgotten source of an important piece of mechanical sciences. Available, because it is still present in our libraries in its complete form, but forgotten because, being written in German by a Jewish refugee escaped to the United States, has been ignored by the main stream of the dominant groups in continuum mechanics. The ideas by Hellinger and the German school of continuum mechanics (remark that this school includes, as we have discovered reading this article, even Gauss himself!) were lost or dramatically deformed in translation. We believe that the destiny of Hellinger's paper is an evidence supporting Lucio Russo's view about history of science. Our aim is to trace the origins of current ideas of mechanical sciences to their original sources.
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