...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International Journal of Solids and Structures >Variational methods for the steady state response of elastic-plastic solids subjected to cyclic loads
【24h】

Variational methods for the steady state response of elastic-plastic solids subjected to cyclic loads

机译：循环载荷作用下弹塑性固体稳态响应的变分方法

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Solids (or structures) of elastic-plastic internal variable material models and subjected to cyclic loads are considered. A minimum net resistant power-theorem, direct consequence of the classical maximum intrinsic dissipation theorem of plasticity theory, is envisioned which describes the material behavior by determining the plastic flow mechanism (if any) corresponding to a given stress/hardening state. A maximum principle is provided which characterizes the optimal initial stress/hardening state of a cyclically loaded structure as the one such that the plastic strain and kinematic internal variable increments produced over a cycle are kinematically admissible. A steady cycle minimum principle, integrated form of the aforementioned minimum net resistant power theorem, is provided, which characterizes the structure's steady state,response (steady cycle) and proves to be an extension to the present context of known principles of perfect plasticity. The optimality equations of this minimum principle are studied and two particular cases are considered: (i) loads not exceeding the shakedown limit (so recovering known results of shakedown theory) and (ii) specimen under uniform cyclic stress (or strain). Criteria to assess the structure's ratchet limit loads are given. These, together with some insensitivity features of the structure's alternating plasticity state, provide the basis to the ratchet limit load analysis problem, for which solution procedures are discussed. (C) 2003 Elsevier Science Ltd. All rights reserved. [References: 31]
机译：考虑了弹塑性内部可变材料模型的实体（或结构）并承受了循环载荷。设想了最小净抗力定理，这是经典的可塑性理论的最大固有耗散定理的直接结果，该定理通过确定与给定应力/硬化状态相对应的塑性流动机制（如果有）来描述材料的行为。提供了最大原理，其将周期性加载的结构的最佳初始应力/硬化状态表征为这样的结构，使得在运动上产生的塑性应变和运动内部变量增量在运动学上是允许的。提供了一种稳定循环的最小原理，即上述最小净耐功率定理的综合形式，它表征了结构的稳态，响应（稳定循环），并被证明是目前已知的理想可塑性原理的扩展。研究了这种最小原理的最优方程，并考虑了两种特殊情况：（i）载荷不超过减振极限（这样就可以恢复已知的减振理论结果）和（ii）在均匀循环应力（或应变）下的试样。给出了评估结构的棘轮极限载荷的标准。这些以及结构交替可塑性状态的一些不敏感特征，为棘轮极限载荷分析问题提供了基础，并讨论了解决方法。 （C）2003 Elsevier ScienceLtd。保留所有权利。 [参考：31]

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号