Shanxi Coal Transportation and Marketing Group Dongda Energy Co., Ltd., Shanxi, China.
Tiandi Technology Co., Ltd., Beijing, China.
PLoS One. 2024 Aug 15;19(8):e0307878. doi: 10.1371/journal.pone.0307878. eCollection 2024.
To simulate the nonlinear stress-strain curve of rocks under static loads and contribute to the design and construction of rock engineering structures, a constitutive model has been proposed based on the elastic modulus E decreasing with the increase in longitudinal cracks. This constitutive equation offers numerous advantages, with the most noteworthy being that the simulation of stress-strain curves for rocks necessitates only three equations (Eqs 1-3) and four parameters (A, k0, C and εs). Following this, we employ the constitutive equation to analyze the stress distribution around a thick-walled cylinder and explore the impact of its four parameters on the stress distribution surrounding the thick-walled cylinder. Parameter A primarily affects the range of the plastic zone and the magnitude of the maximum tangential stress; parameter C mainly influences the magnitude of the maximum tangential stress; parameter εs mainly affects the range of the plastic zone and the magnitude of the maximum tangential stress; parameter k0 primarily influences the magnitude of the maximum tangential stress. We got the similar results with Bray model, but distribution of stress around the tunnel are different present that the shape of stress-strain curves are different.
为了模拟静态载荷下岩石的非线性应力-应变曲线，为岩石工程结构的设计和施工提供依据，提出了一种基于纵裂长度随弹性模量 E 减小而增大的本构模型。该本构方程具有许多优点，最显著的是仅需三个方程（式 1-3）和四个参数（A、k0、C 和 εs）即可模拟岩石的应力-应变曲线。然后，我们利用本构方程分析了厚壁圆筒周围的应力分布，并探讨了其四个参数对厚壁圆筒周围的应力分布的影响。参数 A 主要影响塑性区的范围和最大切向应力的大小；参数 C 主要影响最大切向应力的大小；参数 εs 主要影响塑性区的范围和最大切向应力的大小；参数 k0 主要影响最大切向应力的大小。我们得到了与 Bray 模型相似的结果，但隧道周围的应力分布不同，导致应力-应变曲线的形状不同。
