Moscow, Russia

Mechanics of deformable solids

Language: English Studies in English
Subject area: engineering and engineering trades
University website: www.hse.ru
4 years
Mechanics
Mechanics (Greek μηχανική) is that area of science concerned with the behaviour of physical bodies when subjected to forces or displacements, and the subsequent effects of the bodies on their environment. The scientific discipline has its origins in Ancient Greece with the writings of Aristotle and Archimedes (see History of classical mechanics and Timeline of classical mechanics). During the early modern period, scientists such as Galileo, Kepler, and Newton laid the foundation for what is now known as classical mechanics. It is a branch of classical physics that deals with particles that are either at rest or are moving with velocities significantly less than the speed of light. It can also be defined as a branch of science which deals with the motion of and forces on objects.
Mechanics
No force however great can stretch a cord however fine into an horizontal line which is accurately straight.
William Whewell Elementary Treatise on Mechanics, The Equilibrium of Forces on a Point (1819).
Mechanics
My greatest concern was what to call it. I thought of calling it 'information,' but the word was overly used, so I decided to call it 'uncertainty.' When I discussed it with John von Neumann, he had a better idea. Von Neumann told me, 'You should call it entropy, for two reasons. In the first place your uncertainty function has been used in statistical mechanics under that name, so it already has a name. In the second place, and more important, no one really knows what entropy really is, so in a debate you will always have the advantage.'
Claude Elwood Shannon Scientific American (1971), volume 225, page 180 : Explaining why he named his uncertainty function "entropy".
Mechanics
Rational mechanics must be the science of the motions which result from any forces, and of the forces which are required for any motions, accurately propounded and demonstrated. For many things induce me to suspect, that all natural phenomena may depend upon some forces by which the particles of bodies are either drawn towards each other, and cohere, or repel and recede from each other: and these forces being hitherto unknown, philosophers have pursued their researches in vain. And I hope that the principles expounded in this work will afford some light, either to this mode of philosophizing, or to some mode which is more true.
Isaac Newton Preface (8 May 1686). Preface, translation in William Whewell's History of the Inductive Sciences (1837).
Understanding the relationship between climate and ecosystems is crucial to preventing undesired changes to our environment, such as desertification and the loss of species. However, the multi-component and multi-scale nature of ecosystems makes them difficult to easily understand.
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