Complementarity, duality and symmetry in nonlinear mechanics: AN EXTENSION OF LIMIT ANALYSIS THEOREMS TO INCOMPRESSIBLE MATERIAL WITH A NON-ASSOCIATED FLOW RULE

机译：非线性力学中的互补性，二元性和对称性：非相关流量规则的不可压缩材料极限分析定理的延伸

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The aim of the paper is to propose an extension of limit analysis theorems for a non-associated flow rule. The approach is to construct, as a first step, a variational formulation for boundary value problems involving rigid plastic materials with a non-associated flow rule. The method used here, proposed by the first author, is based on an extension of Auchmuty's work on variational principles for non-potential operator equations. Having at our disposal the variational formulation, it is a simple matter to derive the bound theorems of limit analysis. It is found that for a non-associated flow rule the lower and the upper bound are coupled.

机译：本文的目的是提出为非相关流量规则的极限分析定理延长。该方法是构造作为第一步骤的变分形，用于涉及具有非相关性流动规则的刚性塑料材料的边值问题。第一作者提出的该方法基于Auchmuty对非潜在操作员方程的变分原理的延伸。在我们处置变分制剂时，它是推出限制分析的结合定理的简单问题。发现，对于非相关的流程规则，较低和上限耦合。

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《IUTAM Symposium on Complementarity, Duality and Symmetry in Nonlinear Mechanics》|2004年||共21页
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J. Joachim Telega; Mohammed Hjiaj; Scott W. Sloan;
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中图分类 TH11-53;
关键词
Limit analysis; Non-associated plasticity; Incompressible material; Variational principles; Non-potential operator;

机译：限制分析;无关的可塑性;不可压缩的材料;变分原理;非潜在运营商;

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1. Limit analysis theorems for implicit standard materials: application to the unilateral contact with dry friction and the non-associated flow rules in soils and rocks [J] . G. De Saxce, L. Bousshine International Journal of Mechanical Sciences . 1998,第4期

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2. A nonlinear programming approach to limit analysis of non-associated plastic flow materials [J] . Li H.-X. Mathematics and mechanics of solids: MMS . 2013,第5期

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3. Bearing capacity of a strip footing situated on soil slope using a non-associated flow rule in lower bound limit analysis [J] . Koushik Haider, Debarghya Chakraborty, Sujit Kumar Dash International journal of geotechnical engineering . 2019,第1a2期

机译：下限分析中使用非关联流规则的土坡上条形基础的承载力
4. Complementarity, duality and symmetry in nonlinear mechanics: AN EXTENSION OF LIMIT ANALYSIS THEOREMS TO INCOMPRESSIBLE MATERIAL WITH A NON-ASSOCIATED FLOW RULE [C] . J. Joachim Telega, Mohammed Hjiaj, Scott W. Sloan IUTAM Symposium on Complementarity, Duality and Symmetry in Nonlinear Mechanics . 2004

机译：非线性力学中的互补性，二元性和对称性：非相关流量规则的不可压缩材料极限分析定理的延伸
5. Numerical Simulation of Sheet Metal Forming Using Non-Associated Flow Rule and Mixed Isotropic-Nonlinear Kinematic Hardening Model. [D] . Taherizadeh, Aboozar. 2009

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6. Dual Solutions for Nonlinear Flow Using Lie Group Analysis [O] . Muhammad Awais, Tasawar Hayat, Sania Irum, -1

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7. Review on Thermo-mechanical Approach in the Modelling of Geo-materials Incorporating Non-associated Flow Rules [O] . Aung Ye, Khabbaz Hadi, Fatahi Behzad 2016

机译：包含非关联流规则的岩土材料建模中的热力学方法综述
8. Development of Plasticity Model Using Non-Associated Flow Rule for HCP Materials Including Zirconium for Nuclear Applications. [R] . Yoon, J. W., Glazoff, M. V. 2013

机译：用于核应用的含锆的HCp材料的非相关流动规则的塑性模型的开发。

Complementarity, duality and symmetry in nonlinear mechanics: AN EXTENSION OF LIMIT ANALYSIS THEOREMS TO INCOMPRESSIBLE MATERIAL WITH A NON-ASSOCIATED FLOW RULE

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