Mechanics of Cosserat Generalized Continuum and Modelling in Structural Geology

Cosserat fluids and the continuum mechanics of turbulence: a generalized Navier–Stokes-α equation with complete boundary conditions

We here develop a continuum-mechanical formulation and generalization of the Navier– Stokes-α equation based on a general framework for fluid-dynamical theories involving gradient dependencies (Fried & Gurtin 2005). That generalization entails two additional material length scales: one of energetic origin, the other of dissipative origin. In contrast to Lagrangian averaging, our formulation del...

Macroscopic modelling of structured materials: Relationship between orthotropic Cosserat continuum and rigid elements

The macroscopic modelling of in-plane elastic behaviour of composite solids made with regular orthotropic texture is the object of the present study. At the macro-scale, the effect of heterogeneity can be included by adopting an homogenisation toward a generalised continuum on which specific finite element codes are based. As an alternative, a specific rigid element approach has been recently p...

Discrete Modelling and Discrete Algorithms in Continuum Mechanics

Mechanics 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...

‌Progressive Damage Analysis of Laminated Composites using Continuum Damage Mechanics

In this paper, progressive damage and global failure of composite laminates under quasi-static, monotonic loading are investigated using 3D continuum damage mechanics. For this purpose, a finite element program has been developed using an eight-node 2D layered element including layer-wise plate theory. Damage analysis of a single orthotropic layer under various uniform in-plane and transverse l...