Journal ArticleDOI
On the Theory of a Cosserat Point and Its Application to the Numerical Solution of Continuum Problems
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The theory of a Cosserat point is developed to describe motion of a body that is essentially a material point surrounded by some small volume as mentioned in this paper, and the development of this theory is motivated mainly by its applicability to the numerical solution of continuum problems.Abstract:
The theory of a Cosserat point is developed to describe motion of a body that is essentially a material point surrounded by some small volume. The development of this theory is motivated mainly by its applicability to the numerical solution of continuum problems. Attention is confined to the purely mechanical theory and nonlinear balance laws are proposed for Cosserat points with arbitrary constitutive properties. The linearized theory is developed and constitutive equations for an elastic material are discussed within the context of both the nonlinear and linear theories. Explicit constitutive equations for a linear-elastic isotropic Cosserat point are developed to model a parallelepiped composed of a linear-elastic homogeneous isotropic material.read more
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Journal ArticleDOI
A unified procedure for construction of theories of deformable media. ii. generalized continua
A. E. Green,P. M. Naghdi +1 more
TL;DR: In this article, a thermomechanical theory for a Cosserat continuum with a single director and N directors is derived for the first time from the balance of energy of balances of director momenta and balances of entropies.
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A new 3-D finite element for nonlinear elasticity using the theory of a Cosserat point
Ben Nadler,M.B. Rubin +1 more
TL;DR: In this paper, the Cosserat point is characterized by eight director vectors which are determined by balance laws and constitutive equations, and the constitutive equation for the director couples is determined by derivatives of a strain energy function which ensures that the element satisfies a nonlinear version of the patch test.
Journal ArticleDOI
Unified simulation of elastic rods, shells, and solids
TL;DR: In this paper, a higher-order integration rule, or elaston, is derived to measure stretching, shearing, bending, and twisting along any axis, and a single code accurately models a diverse range of elastic behaviors, including buckling, writhing, cutting and merging.
Journal ArticleDOI
Simulations of underground structures subjected to dynamic loading using the distinct element method
TL;DR: In this paper, the authors present the preliminary results from a parameter study investigating the stability of underground structures in response to explosion-induced strong ground motions, and demonstrate the suitability of the distinct element method (DEM) for this application.
Journal Article
Unified simulation of elastic rods, shells and solids
TL;DR: Martin et al. as mentioned in this paper described the implementation of the plasticity model as well as the virtual node and cutting algorithms used in the paper "Unified Simulation of Elastic Rods, Shells and Solids".