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 ...

Abstract This paper deals with the linear theory of thermoelastic Cosserat bodies. At beginning, we formulate mixed initial-boundary value problem in this context and obtain new theorems reciprocity thermodynamics these media. Then prove that relations imply uniqueness solution problem. Based on same reciprocal relations, establish a minimum variational principle, which generalizes those from c...

This paper focuses on the application of a continuum-based method in the Shear Strength Reduction (SSR) analysis of the stability of jointed rock slopes. In order to take into account the jointed nature of the material, the Finite Element Method (FEM) is formulated based on Cosserat theory. Also, it is assumed that failure of the equivalent material can result from failure of the joints, failur...

This brief article provides an independent derivation of a formula given by Kafadar and Eringen (1971) connecting two distinct Cosserat spins. The first of these, the logarithmic spin represents the time rate of change of the vector defining finite Cosserat rotation, whereas the second, the instantaneous spin, gives the local angular velocity representing the infinitesimal generator of that rot...

This paper communicates an analytical study on computing the natural frequencies and in-plane deflections caused by static forces in panel walls using Euler-Bernoulli, Timoshenko, Timoshenko Goodier, Couple-stress, Micropolar-Cosserat theory. The highlights formulation of transfer matrix via state-space method spatial domain; from coupled governing equations motion that arises theory captures n...