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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
DOI: 10.2140/memocs.2020.8.191
Abstract

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
Mathematical Subject Classification 2010
Primary: 74A05, 74A10, 74A30
Secondary: 74B20
Milestones
Received: 16 December 2018
Revised: 25 June 2019
Accepted: 17 August 2019
Published: 19 May 2020

Communicated by Pierre Seppecher
Authors
Marcelo Epstein
Department of Mechanical and Manufacturing Engineering
University of Calgary
Calgary
Canada
Ronald E. Smelser
Mechanical Engineering and Engineering Science
University of North Carolina at Charlotte
Charlotte, NC
United States