论文标题
客观结构的Korn类型不平等现象
Korn type Inequalities for Objective Structures
论文作者
论文摘要
我们在一般的客观结构中为粒子系统建立了离散的KORN类型不平等，这代表了晶格结构的泛滥。对于空间填充配置的对称组是一般空间组，我们获得了完整的离散Korn不等式。对于具有非平凡编纂的系统，我们的结果提供了结构扩展维度内的固有刚度估计。作为弹性理论中的连续性对应物，这种估计是能量估计的核心，因此，对一系列原子粒子系统进行了稳定分析。
We establish discrete Korn type inequalities for particle systems within the general class of objective structures that represents a far reaching generalization of crystal lattice structures. For space filling configurations whose symmetry group is a general space group we obtain a full discrete Korn inequality. For systems with non-trivial codimension our results provide an intrinsic rigidity estimate within the extended dimensions of the structure. As their continuum counterparts in elasticity theory, such estimates are at the core of energy estimates and, hence, a stability analysis for a wide class of atomistic particle systems.
