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An appreciation and
discussion of Paul Germain's “The method of virtual power in
the mechanics of continuous media, I: Second-gradient
theory”
Marcelo Epstein and Ronald E. Smelser
Vol. 8 (2020), No. 2, 191–199
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Abstract |
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Paul Germain’s 1973 article on the method of virtual power in continuum mechanics has had an enormous impact on the modern development of the discipline. In this article we examine the historical context of the ideas it contains and discuss their continuing importance. Our English translation of the French original appears elsewhere in this volume (MEMOCS 8:2 (2020), 153–190). |
Keywords
virtual power, gradient elasticity, duality, screws,
functional analysis
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Mathematical Subject Classification 2010
Primary: 74A05, 74A10, 74A30
Secondary: 74B20
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Milestones
Received: 16 December 2018
Revised: 25 June 2019
Accepted: 17 August 2019
Published: 19 May 2020
Communicated by Pierre Seppecher
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Authors |
| Marcelo Epstein | |
| Department of Mechanical and
Manufacturing Engineering University of Calgary Calgary Canada |
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| Ronald E. Smelser | |
| Mechanical Engineering and
Engineering Science University of North Carolina at Charlotte Charlotte, NC United States |
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