Three-dimensional cosserat continuum modeling of fractured rock masses

Stefanou, I; Sulem, J

dc.contributor.author	Stefanou, I	en
dc.contributor.author	Sulem, J	en
dc.date.accessioned	2014-03-01T02:00:00Z
dc.date.available	2014-03-01T02:00:00Z
dc.date.issued	2010	en
dc.identifier.issn	17569737	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29067
dc.subject	3D Cosserat	en
dc.subject	homogenization	en
dc.subject	rock masses	en
dc.subject.other	Anisotropic material	en
dc.subject.other	Continuum model	en
dc.subject.other	Cosserat	en
dc.subject.other	Cosserat continuum	en
dc.subject.other	Differential expansion	en
dc.subject.other	Dip angle	en
dc.subject.other	Discrete systems	en
dc.subject.other	Dynamic behaviors	en
dc.subject.other	Equivalent continuum	en
dc.subject.other	Fractured rock mass	en
dc.subject.other	homogenization	en
dc.subject.other	Homogenization techniques	en
dc.subject.other	Internal forces	en
dc.subject.other	Joint set	en
dc.subject.other	Mechanical points	en
dc.subject.other	Rock discontinuity	en
dc.subject.other	Rock mass	en
dc.subject.other	rock masses	en
dc.subject.other	Rock structures	en
dc.subject.other	Anisotropy	en
dc.subject.other	Continuum mechanics	en
dc.subject.other	Homogenization method	en
dc.subject.other	Kinematics	en
dc.subject.other	Mathematical models	en
dc.subject.other	Mechanical properties	en
dc.subject.other	Rock mechanics	en
dc.subject.other	Three dimensional	en
dc.subject.other	Rocks	en
dc.title	Three-dimensional cosserat continuum modeling of fractured rock masses	en
heal.type	journalArticle	en
heal.identifier.primary	10.1142/S1756973710000424	en
heal.identifier.secondary	http://dx.doi.org/10.1142/S1756973710000424	en
heal.publicationDate	2010	en
heal.abstract	The behavior of rock masses is influenced by the existence of discontinuities, which divide the rock in joint blocks making it an inhomogeneous anisotropic material. From the mechanical point of view, the geometrical and mechanical properties of the rock discontinuities define the mechanical properties of the rock structure. In the present paper we consider a rock mass with three joint sets of different dip angle, dip direction, spacing and mechanical properties. The dynamic behavior of the discrete system is then described by a continuum model, which is derived by homogenization. The homogenization technique applied here is called generalized differential expansion homogenization technique and has its roots in Germain's (1973) formulation for micromorphic continua. The main advantage of the method is the avoidance of the averaging of the kinematic quotients and the derivation of a continuum that maps exactly the degrees of freedom of the discrete system through a one-to-one correspondence of the kinematic measures. The derivation of the equivalent continuum is based on the identification for any virtual kinematic field of the power of the internal forces and of the kinetic energy of the continuum with the corresponding quantities of the discrete system. The result is an anisotropic three-dimensional Cosserat continuum. © 2010 Imperial College Press.	en
heal.journalName	Journal of Multiscale Modeling	en
dc.identifier.doi	10.1142/S1756973710000424	en
dc.identifier.volume	2	en
dc.identifier.issue	3-4	en
dc.identifier.spage	217	en
dc.identifier.epage	234	en