Milestones of Direct Variational Calculus and its Analysis from the 17th Century until today and beyond- Mathematics meets Mechanics- with restriction to linear elasticity
Journal Title: Computer Assisted Methods in Engineering and Science - Year 2012, Vol 19, Issue 1
Abstract
This treatise collects and reflects the major developments of direct (discrete) variational calculus since the end of the 17th century until about 1990, with restriction to classical linear elastome- chanics, such as 1D-beam theory, 2D-plane stress analysis and 3D-problems, governed by the 2nd order elliptic Lam´e-Navier partial differential equations.The extension of the historical review to non-linear elasticity, or even more, to inelastic defor-mations would need an equal number of pages and, therefore, should be published separately.A comprehensive treatment of modern computational methods in mechanics can be found in the Encyclopedia of Computational Mechanics [83].
Authors and Affiliations
Erwin Stein
Keywords
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