Guide Variational Principles of Continuum Mechanics: I. Fundamentals

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Faculty books - College of Engineering - Wayne State University

Variational Principles of Continuum Mechanics. Read more. Variational principles. Variational and quasi-variational inequalities in mechanics.

Variational Principles of Continuum Mechanics II Applications Interaction of Mechanics and Mathemat

Invariant variational principles. Principles of Quantum Mechanics.

Variational Principles of Continuum Mechanics: I. Fundamentals

Principles of Statistical Mechanics. Principles of engineering mechanics. Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Ask Question.

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Asked 4 years, 7 months ago. Active 4 years, 6 months ago. Viewed 1k times. What sorts of conditions would exists on the dynamics of these systems?

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Ron Ron 1 1 silver badge 10 10 bronze badges. Also, another thing I want to mention: Rayleigh has a method for dealing with dissipation and external forcing, but I am specifically looking for a self contained formulation with no disspation function necessary, just one functional.

It is definite - there is no Lagrangian description of generic dissipative force though you might be able to cheat in specific situations. The paper discusses how an "extended Lagrangian description" whose Lagrangian is not the sum of potentials and kinetic energies may be set up to model disspative forces.

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The other related question may be: when can you "cheat" and why? What sorts of conditions are there on systems where you can "cheat"? Fundamentals, ; Appendix B. Effectively, you're making the argument that mixing these opposite times doesn't make sense from a physical standpoint?


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What kind of justification would make if more reasonable? Take for example this paper: arxiv.

Continuum Mechanics and Theory of Materials by J. Kurth and Peter Haupt 12 March First Course in Continuum Mechanics by Y. Fung 26 July Only 1 left in stock - order soon.

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Muller 18 January Maugin 9 April Usually ships within 4 to 5 days. Only 2 left in stock more on the way.


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