A non-rigid or deformable body may be thought of as a collection of many minute particles ( infinite number of DOFs ), this is often approximated by a finite DOF system.
12.
Leonhard Euler in 1750 introduced a generalisation of Newton's laws of motion for rigid bodies called Euler's laws of motion, later applied as well for deformable bodies assumed as a continuum.
13.
This relation is equivalent to the set of equilibrium equations written for a differential element in the deformable body as well as of the stress boundary conditions on the part S _ t of the surface.
14.
In the case of deformable bodies such as cloth simulation, it may not be possible to use a more specific pairwise pruning algorithm as discussed below, and an " n "-body pruning algorithm is the best that can be done.
15.
When motion involving large displacements is the main objective of study ( e . g . for analyzing the motion of satellites ), a deformable body may be approximated as a rigid body ( or even a particle ) in order to simplify the analysis.
16.
Fedkiw and his colleagues have designed a C + + code library for Physics Based Modelling ( PhysBAM http : / / physbam . stanford . edu ) that facilitates the creation of better special effects for movies, including water, smoke, fire, cloth, rigid bodies and deformable bodies.
17.
In the language of physics, Montgomery's connection is a certain Yang-Mills field on the configuration space, and is a special case of a more general approach to the dynamics of deformable bodies as represented by gauge fields (; ), following the work of Shapere and Wilczek ( ).
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