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论文摘要

基于Eshelby本征应变自洽法的岩土二元介质本构关系

Constitutive of Binary Medium for Soils Based on Eshelby Eigenstrain Self-consistent Method

作者:杨瑞敏(东南大学 交通学院岩土工程研究所);丁建文(东南大学 交通学院岩土工程研究所);吉锋(东南大学 交通学院岩土工程研究所);何仁财(江西农业机械研究所)

Author:Yang Ruimin(Inst. of Geotechnical Eng., Transportation College,Southeast Univ.);Ding Jianwen(Inst. of Geotechnical Eng., Transportation College,Southeast Univ.);Ji Feng(Inst. of Geotechnical Eng., Transportation College,Southeast Univ.);He Rencai(Jiangxi Agricultural Machinery Research Inst.)

收稿日期:2011-11-16          年卷(期)页码:2012,44(4):12-19

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:二元介质模型;Eshelby张量;本征应变;自洽法;弹塑性本构关系

Key words:binary medium model;Eshelby tensor;eigenstrain;self-consistent method;elastoplastic constitutive

基金项目:国家自然科学基金资助项目(51178107;41172240)

中文摘要

天然沉积土具有结构性,产生结构性的原因在于胶结的不均匀性。在破损力学理论框架下,基于Eshelby本征应变自洽法,考虑胶结元与摩擦元间变形协调性及应力连续性,推导出了岩土二元介质弱形式的弹塑性本构关系,为复杂应力状态下结构性土实际边值问题的有限元计算提供理论依据。算例计算表明导出的本构关系能够考虑胶结元和摩擦元的力学性质、胶结元的破损规律、受荷历史、加载方式及应力状态对岩土二元介质材料力学性能的影响。

英文摘要

Natural clays have their structure caused by inhomogeneity of the cementation. In order to provide theoretical bases for finite element method of structural soils,based on the theoretical framework of breakage mechanics,the weakly form of elastoplastic constitutive of binary medium for soils was given by Eshelby eigenstrain self-consistent method with the consideration of the compatibility for strain and the continuity for stress between bonding elements and frictional elements.A typical example showed that mechanical properties of bonding elements and frictional elements,breakage laws of bonding elements,loading histories,loading modes and states of stress have a great effect on the mechanical property of binary medium for soils, and the constitutive relationship could take it into account.

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