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Numerical Simulation Method Study of Rock Fracture Based on Strain Energy Density Theory

机译:基于应变能密度理论的岩骨折的数值模拟方法研究

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Many numerical methods are carried out to study the nonlinear failure behaviors of the rock; however, the numerical simulation methods for the failed rock are still in the research stage. This paper establishes the damage constitutive equation by combining the bilinear strain softening constitutive model with energy dissipation principles, as well as the energy failure criterion of mesoscopic elements based on the strain energy density theory. When the strain energy stored by an element exceeds a fixed value, the element enters the damage state and the damage degree increases with increasing energy dissipation. Simultaneously, the material properties of the damaged element change until it becomes an element with certain residual strength. As the load increases, the damage degree of an element increases. When the strain energy stored by an element exceeds the established value of the energy criterion, the element is defined to be failed. As the number of failed elements constantly increases, failed elements interconnect and form macrocracks. The rock fracture calculation program on the basis of the preceding algorithm is successfully applied to the fracture simulation process in Brazilian splitting and intermediate crack tensile tests. This method completes the nonlinear calculation process with linear calculation, avoids singularity of numerical calculation in element fracture, and simulates the rock post-peak fracture behaviors. The simulation results agree well with the test results, indicating the accuracy and feasibility of this method for simulating the rock fracture process.
机译:进行了许多数值方法以研究岩石的非线性失效行为;然而,失败岩石的数值模拟方法仍在研究阶段。本文通过将双线性菌株软化构成模型与能量耗散原理相结合来建立损伤本构式方程,以及基于应变能密度理论的思科元素的能量衰竭标准。当由元件存储的应变能量超过固定值时,元件进入损坏状态,并且随着能量耗散的增加而增加。同时,损坏元件的材料性能改变,直到它成为具有某些残留强度的元件。随着负载增加,元素的损坏程度增加。当由元件存储的应变能量超过能量标准的已建立值时,该元件被定义为失败。随着失败元素的数量不断增加,元素互连和形成MacRecracks的失败元素。基于前一算法的岩石断裂计算程序成功应用于巴西分裂和中间裂纹拉伸试验中的断裂仿真过程。该方法完成了具有线性计算的非线性计算过程,避免了元素骨折中数值计算的奇异性,并模拟了岩石后峰值断裂行为。模拟结果与测试结果吻合良好,表明该方法模拟岩石骨折过程的准确性和可行性。

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