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On the initial boundary values problem for a mixture of two Cosserat bodies with voids
In this study it is approached a linear model for the mixture of two Cosserat bodies having pores. It is formulated the mixed problem with initial...
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Geometrically Nonlinear Cosserat Elasticity with Chiral Effects Based upon Granular Micromechanics
In this short contribution, we exemplify how the Cosserat kinematics, introduced into classical continuum mechanics at the turn of the XXth century,...
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A final boundary problem for modeling a thermoelastic Cosserat body
In this study, we consider the final boundary value problem for a thermoelastic Cosserat material. With the help of a simple translation, our final...
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A model of dual-phase-lag thermoelasticity for a Cosserat body
We consider a thermoelastic Cosserat body with dual-phase lag. In order to formulate a dual-phase-lag model, an equation is introduced, of the time...
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Two Approaches to Modeling Viscoelastic Cosserat Continua
We focus our attention on the differential equations relating the gradients of translational and angular velocities to the corresponding strain...
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A new approach to modeling of thermal and electrical conductivities by means of the Cosserat continuum
We develop a linear theory of the Cosserat continuum of a special type. This continuum possesses only rotational degrees of freedom. The constitutive...
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A Cosserat Model for Fiber-Reinforced Elastic Plates
We present a theory for thin elastic plates reinforced by a single family of continuously distributed fibers. The novelty of the model is the...
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Null Lagrangians in Cosserat Elasticity
In the framework of nonlinear theory of Cosserat elasticity, also called micropolar elasticity, we provide the complete characterization of null...
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Propagation of non-stationary kinematic disturbances from a spherical cavity in the pseudo-elastic cosserat medium
In this work, the Cosserat model is used to simulate non-stationary processes in various structures of composite materials. A non-stationary...
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Reduced linear viscoelastic isotropic Cosserat medium with rotational viscosity: an acoustic metamaterial
In this paper we investigate the influence of rotational viscosity on the plane shear-rotational wave propagation in the linear isotropic reduced...
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Homogenization of magnetoelastic heterogeneous solid bodies based on micropolar magnetoelasticity
A variational-based homogenization method for magnetoelastic composite materials is established in a small strains framework. The existence of a...
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Bending and Contact Problem for a Graphene Sheet Within the Framework of the Model of Bending Deformation of Elastic Thin Plates Based on Cosserat Theory
In this paper, basic system of equations, boundary conditions and Lagrange variational principle of bending deformation of elastic thin plates are...
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On FEM analysis of Cosserat-type stiffened shells: static and stability linear analysis
The present research investigates the theory and numerical analysis of shells stiffened with beams in the framework based on the geometrically exact...
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On the General Strategies to Formulate Shell and Plate Theories
Different approaches exist to formulate general shell or plate theories. The approaches can be classified, for example, by the starting point of the...
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Buckling of Rectangular Micropolar Plate with Prestressed Coatings
Within the framework of the nonlinear Cosserat continuum, the stability of a rectangular plate with coatings (sandwich plate) is studied. It is...
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Discrete Cosserat Rod Kinematics Constructed on the Basis of the Difference Geometry of Framed Curves—Part I: Discrete Cosserat Curves on a Staggered Grid
The theory of Cosserat rods provides versatile models to simulate large spatial deformations of slender flexible structures. As the strain measures...
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Strain Gradient Models for Growing Solid Bodies
A unifying mechanical constitutive framework for growing solid bodies exhibiting scale effects is presented, relying on the principle of virtual...
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Nonlinear isotropic elastic reduced and full Cosserat media: waves and instabilities
We consider two types of the nonlinear elastic Cosserat media: a full one, in which the strain energy depends both on the Cosserat deformation tensor...
