Chen Rational Mechanics XI. Multi-scaling and Non-locality for Solids with Periodic Structure
首发时间:2007-04-04
Abstract:The non-locality problem is explained by the geometrical equation of finite deformation. Here, the global geometrical feature is determined by the intrinsic local deformation. This excludes the possibility of giving fixed geometry for deformation problem. This, in fact, is the physical underlying to use dragging coordinator system for large deformation. The multi-scaling problem is explained by the intrinsic physical variation. The micro physical energy variation is determined by quantum wave function solution. Combining with the non-locality feature of macro deformation, the mechanical parameters are expressed by micro physical parameters. This research shows how that the multi-scaling and non-locality are determined by the micro physical variation and measurable macro geometrical variation.
keywords: non-locality, multi-scaling, quantum wave function, mechanical parameters, finite deformation
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陈理性力学XI.周期结构固体的多尺度性和非局部性
摘要:The non-locality problem is explained by the geometrical equation of finite deformation. Here, the global geometrical feature is determined by the intrinsic local deformation. This excludes the possibility of giving fixed geometry for deformation problem. This, in fact, is the physical underlying to use dragging coordinator system for large deformation. The multi-scaling problem is explained by the intrinsic physical variation. The micro physical energy variation is determined by quantum wave function solution. Combining with the non-locality feature of macro deformation, the mechanical parameters are expressed by micro physical parameters. This research shows how that the multi-scaling and non-locality are determined by the micro physical variation and measurable macro geometrical variation.
关键词: non-locality, multi-scaling, quantum wave function, mechanical parameters, finite deformation
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