منابع مشابه
Parametrization of Cosserat Equations
As a matter of fact, the solution space of many systems of ordinary differential (OD) or partial differential (PD) equations in engineering or mathematical physics ”can/cannot” be parametrized by a certain number of arbitrary functions behaving like ”potentials”. In view of the explicit examples to be met later on, it must be noticed that the parametrizing operator, though often of the first or...
متن کاملGranular hypoplasticity with Cosserat effects
This paper provides an extension to Cosserat mechanics of a recently proposed version of hypoplasticity [1], and this extension is achieved economically by means of a novel complex-variable formulation of Cosserat theory. The present work represents a compact synthesis and theoretical framework for both non-polar and polar hypoplasticity, and it encompasses various special cases considered in t...
متن کاملThe Dynamics of Cosserat Nets
A formulation of the dynamics of a collection of connected simple 1dimensional Cosserat continua and rigid bodies is presented in terms of sections of an SO(3) fibration over a 1-dimensional net. A large class of junction conditions is considered in a unified framework. All the equations of motion and junction conditions are derived as extrema of a constrained variational principle on the net a...
متن کاملCoupling Geometrically Exact Cosserat Rods
Cosserat rods are models for long slender objects. Let SE(3) = R3 SO(3) be the 13 group of orientation-preserving rigid body motions of R3 (the special Euclidean 14 group). A configuration of a Cosserat rod is a map φ : [0,1] → SE(3). For each 15 s ∈ [0,1], the value φ(s) = (φr(s),φq(s)) is interpreted as the position φr(s)∈R and 16 orientation φq(s)∈ SO(3) of a rigid rod cross section. Strain ...
متن کاملMechanics of Cosserat media An introduction
The idea of a material body endowed with both translational and rotational degrees of freedom stems from the seminal work of the Cosserat brothers (Cosserat and Cosserat, 1909). A triad of orthonormal directors (d )i=1,3 is associated to the microstructure of each material point. The material transformation describes the displacement u of the material point and the rotation R∼ with respect to t...
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ژورنال
عنوان ژورنال: PAMM
سال: 2002
ISSN: 1617-7061,1617-7061
DOI: 10.1002/1617-7061(200203)1:1<173::aid-pamm173>3.0.co;2-b