Cosserat Elasticity of Lattice Solids
نویسندگان
چکیده
Abstract We discuss a model of fibrous solids composed three families continuously distributed Kirchhoff rods embedded in matrix material. This is special case Cosserat elasticity which the basic kinematic descriptors are single deformation field and rotation fields, one for each fiber family. The fibers assumed to convect with underlying continuum as material curves. Various kinds internal connectivity, imposing restrictions rotations considered.
منابع مشابه
Strong Cosserat Elasticity in a Transversely Isotropic Polymer Lattice.
Large size effects are experimentally measured in lattices of triangular unit cells: about a factor of 36 in torsion rigidity and 29 in bending rigidity. This nonclassical phenomenon is consistent with Cosserat elasticity, which allows for the rotation of points and distributed moments in addition to the translation of points and force stress of classical elasticity. The Cosserat characteristic...
متن کاملMassless Dirac equation as a special case of Cosserat elasticity
We suggest an alternative mathematical model for the massless neutrino. Consider an elastic continuum in 3-dimensional Euclidean space and assume that points of this continuum can experience no displacements, only rotations. This framework is a special case of the so-called Cosserat theory of elasticity. Rotations of points of the continuum are described by attaching to each point an orthonorma...
متن کاملSTRANDS: Interactive Simulation of Thin Solids using Cosserat Models
STRANDS are thin elastic solids that are visually well approximated as smooth curves, and yet possess essential physical behaviors characteristic of solid objects such as twisting. Common examples in computer graphics include: sutures, catheters, and tendons in surgical simulation; hairs, ropes, and vegetation in animation. Physical models based on spring meshes or 3D finite elements for such t...
متن کامل8 Dirac equation as a special case of Cosserat elasticity
We suggest an alternative mathematical model for the electron in which the dynamical variables are a coframe (field of orthonormal bases) and a density. The electron mass and external electromagnetic field are incorporated into our model by means of a Kaluza–Klein extension. Our Lagrangian density is proportional to axial torsion squared. The advantage of our approach is that it does not requir...
متن کاملCosserat elasticity of negative Poisson’s ratio foam: experiment
Negative Poisson’s ratio polymer foams derived from reticulated open cell foams exhibit large size effects in torsion and bending. Effective moduli increase as diameter decreases in contrast to the prediction of classical elasticity. Size effects of this sort are predicted by Cosserat (micropolar) elasticity in which points can rotate as well as translate and distributed moments are incorporate...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Elasticity
سال: 2021
ISSN: ['0374-3535', '1573-2681']
DOI: https://doi.org/10.1007/s10659-021-09859-z