伊辛模型在强度理论研究中的应用
首发时间:2020-12-29
摘要: 伊辛模型是统计物理中使用广泛的模型,除用来描述物理现象外,还被应用政治、经济、计算机等众多领域。本文利用伊辛模型建立砂土三轴常规压缩应力状态下的强度模型,并推导了三维常规压缩应力状态下的强度为:σ1-σ3=a*tanh[ξ*(σm+σm0)],,π 平面上屈服曲线上的一个点的畸变能为q,dq正比与该点偏应力的调和平均数的微分和该π 平面压子午线的导数乘积。通过应用沙土、砾石料、白云岩、大理石等十多种材料三轴压缩实验数据对本强度准则进行验证,都取得较高的精度,本准则具有物理原理清楚,参数物理意义明确,方程简单,拟合结果稳定,可以跨拉压应力区域使用.
关键词: 伊辛模型 强度理论 砂土模型 偏应力调和平均数 平均应力。
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The application of Ising model in strength theory research
Abstract:Ising model is widely used in statistical physics. It is not only used to describe physical phenomena, but also used in many fields such as politics, economy, computer and so on. In this paper, the strength model of sand under conventional triaxial compression stress state is established by using Ising model, and the strength under three-dimensional conventional compression stress state is deduced asσ1-σ3=a*tanh[ξ*(σm+σm0)] .The disThe application of Ising model in strength theory researchtortion energy of a point on the yield curve in the π plane is q, which is directly proportional to the product of the harmonic mean of the partial stress at the point and the derivative of the compressive meridian in the π plane. The strength criterion is verified by the triaxial compression test data of more than ten kinds of materials, such as sand, gravel, dolomite, marble and so on.
Keywords: Ising model strength theory sand model deviatoric stress harmonic mean mean stress
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伊辛模型在强度理论研究中的应用
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