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首页> 外文会议>International Conference on Structural Integrity and Fracture, SIF 2002, Sep 25-27, 2002, Perth, Australia >A non-local Cosserat Model of heterogeneous materials: 1D structures
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A non-local Cosserat Model of heterogeneous materials: 1D structures

机译：异质材料的非局部Cosserat模型：一维结构

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摘要

A method of modelling regular discrete systems as non-local continua based on trigonometric interpolation and integral transformation is considered. When the system possesses rotational degrees of freedom the homogenisation procedure considered leads to a non-local Cosserat continuum. In this continuum stresses and moment stresses satisfy the equations of equilibrium characteristic for conventional Cosserat continuum. The main feature of such continua is the oscillating kernels in the non-local constitutive equations that relate stresses at a point with strains in a vicinity of this point. The presence of oscillations is insensitive to the introduction of randomness into the discrete system. The non-local Cosserat continuum model provide the exact solution of the discrete system. However, non-local models are prone to boundary effects at distances smaller than the micro-structure size.
机译：提出了一种基于三角插值和积分变换的规则离散系统非局部连续性建模方法。当系统具有旋转自由度时，所考虑的均匀化过程将导致非局部Cosserat连续体。在这个连续体中，应力和弯矩应力满足常规Cosserat连续体的平衡特性方程。这种连续性的主要特征是非局部本构方程中的振动核，该振动核将某个点的应力与该点附近的应变相关联。振荡的存在对将随机性引入离散系统不敏感。非局部Cosserat连续体模型提供了离散系统的精确解。但是，非局部模型在小于微结构尺寸的距离处容易产生边界效应。

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