连续介质力学的分数阶微积分 - 各向异性非局部性
Fractional Calculus for Continuum Mechanics - anisotropic non-locality
AI总结：
本文将分数阶连续介质力学公式推广至各向异性非局部性情形，基于非局部的分数阶变形梯度构建理论，其优势在于结构与经典连续介质力学框架类似，便于赋予物理与几何意义。
摘要：
本文将作者先前提出的分数阶连续介质力学公式推广至各向异性非局部性情形。研究内容包含对文献中现有竞争性公式的回顾。整体概念基于非局部的分数阶变形梯度，这是分数阶导数定义的必然结果。该公式的主要优势在于其结构与经典连续介质力学的一般框架类似，从而允许为引入的物理量赋予相似的物理与几何意义。
英文摘要：
In this paper the generalisation of previous author's formulation of fractional continuum mechanics to the case of anisotropic non-locality is presented. The considerations include the review of competitive formulations available in literature. The overall concept bases on the fractional deformation gradient which is non-local, as a consequence of fractional derivative definition. The main advantage of the proposed formulation is its analogical structure to the general framework of classical continuum mechanics. In this sense, it allows, to give similar physical and geometrical meaning of introduced objects.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
