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沉积岩折曲带形成的弹塑性相变模型

Model of Elastoplastic Phase Transformation of Kink Bands in Sedimentary Rocks

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【作者】 任述光张义同徐家福谢宇新

【Author】 REN Shu-guang1,2,ZHANG Yi-tong1,XU Jia-fu1,XIE Yu-xin1(1.School of Mechanical Engineering,Tianjin University,Tianjin 300072,China;2.College of Engineering and Technology,Hunan Agricultural University,Changsha 410128,China)

【机构】 天津大学机械工程学院天津大学机械工程学院 天津300072湖南农业大学工程技术学院长沙410128天津300072

【摘要】 为了揭示岩石折曲带的形成机理,建立了沉积岩折曲带形成的弹塑性相变分析模型.考虑到跨越折曲带界面变形梯度和应力的不连续,强加了跨越界面的力的连续性和相变Maxwell条件.应用基于Drucker-Prager屈服准则的沉积岩的弹塑性本构方程,建立了平面应变下沉积岩挤压折曲形成的控制方程模型.该模型可以预测折曲带形成时的挤压应力、折曲带内外的应力和应变、折曲带倾角和折曲角等.数值求解表明,预测结果和实验结果一致.

【Abstract】 An elastoplastic phase transformation model for the formation of kink bands in sedimentary rocks was put forward to reveal its formation mechanism.Considering the discontinuity of deformation gradient and stress across the interface between kink bands and un-kinked areas,the continuity of traction across the interface and Maxwell relation were imposed.Using the elastoplastic constitutive equation for sedimentary rocks based on Drucker-Prager yield criteria,the control equations for the formation of kink bands in sedimentary rocks under plane strain state were deduced.The compressive stress for the formation of kink bands,the stress and strain inside and outside kink bandt,he inclination angle of kink band,and the kink angle could be predicted.The results were consistent with experimental data.

【关键词】 折曲带沉积岩相变弹塑性
【Key words】 kink bandssedimentary rocksphase transformationelastoplasticity
【基金】 国家重点基础研究发展计划(973)资助项目(2007CB714001)
  • 【文献出处】 天津大学学报 ,Journal of Tianjin University , 编辑部邮箱 ,2008年03期
  • 【分类号】TU452
  • 【被引频次】1
  • 【下载频次】53
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