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杜修力, 马超, 路德春. 岩土材料的非线性统一强度模型[J]. 力学学报, 2014, 46(3): 389-397. DOI: 10.6052/0459-1879-13-312
引用本文: 杜修力, 马超, 路德春. 岩土材料的非线性统一强度模型[J]. 力学学报, 2014, 46(3): 389-397. DOI: 10.6052/0459-1879-13-312
Du Xiuli, Ma Chao, Lu Dechun. NONLINEAR UNIFIED STRENGTH MODEL OF GEOMATERIALS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(3): 389-397. DOI: 10.6052/0459-1879-13-312
Citation: Du Xiuli, Ma Chao, Lu Dechun. NONLINEAR UNIFIED STRENGTH MODEL OF GEOMATERIALS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(3): 389-397. DOI: 10.6052/0459-1879-13-312

岩土材料的非线性统一强度模型

NONLINEAR UNIFIED STRENGTH MODEL OF GEOMATERIALS

  • 摘要: 将材料的破坏归结为剪切破坏,每种材料对应于特定的剪切滑动面,抗剪强度为滑动面上正应力的函数,基于不同材料的强度特性将一系列的剪切滑动面统一起来,建立了岩土材料的非线性统一强度模型.非线性统一强度模型的滑动面为β应力空间内的等倾面,在β应力空间内的强度面为圆锥面;在普通应力空间内的强度面为一系列连续光滑、外凸的锥面,在偏平面上强度曲线涵盖了从下限Matsuoka-Nakai曲线到上限Drucker-Prager圆之间的所有区域,子午面上强度线为直线.非线性统一强度模型只有3个材料参数,参数都具有明确的物理意义,通过与国内外学者已取得的岩土类材料真三轴强度试验结果的比较,表明模型可适用于多种类型的材料,并合理描述其非线性强度特性.

     

    Abstract: The failure of material can be concluded to the shear fracture and each material has a specific shear sliding surface. The shear strength is the function of normal stress on sliding surface. A series of shear sliding surface is unified and nonlinear unified strength model of geo-materials is proposed. Sliding surface of nonlinear unified strength model is isoclinic surface in β stress space. The Strength surface of nonlinear unified strength model is circular conical surface in the β stress space and a series of conical surfaces are continuous smooth and convex in principal stress space. The nonlinear unified strength model can be illustrated as a curve between the Drucker-Prager and SMP in deviatoric plane, and as a straight line in meridian plane. There are only three mechanical parameters in the model which have definite physical meanings. Compared with large numbers of data under true triaxial tests, the applicability of nonlinear unified strength model is verified to different materials. And the proposed model can describe the nonlinear strength property of various materials reasonably.

     

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