| 王哲.无耦合条件下的多子系统静动态统一本构关系(上)--基本理论[J].计算力学学报,2004,21(2):222~230 |
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| 无耦合条件下的多子系统静动态统一本构关系(上)--基本理论 |
| Unified static and dynamic constitutive relations with multi-subsystems,part I:theory |
| 修订日期：2002-06-06 |
| DOI：10.7511/jslx20042041 |
| 中文关键词: 不可逆热力学 本构关系 多子系统 时间点集 时间相关 时间无关 耦合条件 材料力学 |
| 英文关键词:irreversible thermodynamics,constitutive relation, multiple subsystem,point set of time,time-dependent,time-independent |
| 基金项目:国家自然科学基金面上基金(50279001);重点项目基金(50139010);大连理工大学海岸和近海工程国家重点实验室访问学者基金资助项目. |
| 王哲 |
| 北京交通大学土木建筑学院,北京100044 |
| 摘要点击次数: 1508 |
| 全文下载次数: 10 |
| 中文摘要: |
| 引入了同步性的概念。按照是否同步对所有的内变量进行分组，得到了整个系统的子系统结构。证明了子系统间无耦合时各子系统内部一致性条件成立的判别准则，从而得到了可以统一描述子系统内部的时间相关、时间无关不可逆行为的内变量演化方程和加卸载准则。本构关系既适用于静态加载，也适用于动态加载。经典塑性本构关系、多屈服面本构关系及过应力型粘塑性本构关系只是本文的特例。 |
| 英文摘要: |
| The idea of synchronization is introuduced. According to whether the internal variables are synchronous or not, all internal variables are grouped, and a subsystem structure is then obtained for the whole system. The judgement criterion for the satisfaction of the consistency condition in each subsystem is proven when there is no coupling among these subsystems. Therefore, unified evolution equations for the time-dependent and time-independent behavior and loading-unloading criterion within each subsystem are obtained. The constitutive relation can be applied to static and dynamic loading. The classic plastic constitutive relation, multi-yield surface constitutive relation and over-stress viscoplastic constitutive relation are a special example of this constitutive relation. |
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