| 塑性增量理论的变分原理和广义变分原理 |
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| 引用本文： | 周健生,梁立孚,王丁伟.塑性增量理论的变分原理和广义变分原理[J].哈尔滨工程大学学报,2008,29(4):354-358. |
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| 作者姓名： | 周健生 梁立孚 王丁伟 |
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| 作者单位： | 哈尔滨工程大学,建筑工程学院,黑龙江,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金
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教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | 自弹塑性力学的广义变分原理问世以来,如何将塑性增量理论(塑性流动理论)的变分原理和广义变分原理写成更加规范的形式,一直是塑性力学专家和变分原理专家努力的方向.该文借助弹塑性本构关系研究的新进展,按照广义力和广义位移之间的对应关系,将塑性增量理论的基本方程乘上相应的虚量,然后积分,并代数相加,进而推导出了形式规范的塑性增量理论的变分原理和广义变分原理.
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| 关 键 词： | 变分原理 广义变分原理 塑性增量理论 |
| 文章编号： | 1006-7043(2008)04-0354-05 |
| 修稿时间： | 2007年7月3日 |
Variational principles and generalized variational principles on flow theory of plasticity |
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| ZHOU Jian-sheng,LIANG Li-fu,WANG Ding-wei.Variational principles and generalized variational principles on flow theory of plasticity[J].Journal of Harbin Engineering University,2008,29(4):354-358. |
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| Authors: | ZHOU Jian-sheng LIANG Li-fu WANG Ding-wei |
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| Abstract: | Since the generalized variational principle of elasto-plastic mechanics was developed,it has been a problem for scientists and researchers to incorporate these variational principles with plastic flow theory of more standard forms.In this paper the latest developments in elasto-plastic constitutive theory and understandings of the relationship between general force and general displacement are applied,and the equilibrium and geometrical equations for plastic flow theory were multiplied by related virtual quantities,then integration was made with respect to volume and area,and finally an algebraic addition was performed. |
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| Keywords: | variational principle generalized variational principle flow theory of plasticity |
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