A parallel and efficient multi-split XFEM for 3-D analysis of heterogeneous materials
A parallel and efficient multi-split XFEM for 3-D analysis of heterogeneous materials
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DOI：
10.1016/j.cma.2018.12.023
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发表时间：
2019-04
影响因子：
7.2
通讯作者：
M. Bansal;I. Singh;B. K. Mishra;S. Bordas
中科院分区：
文献类型：
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作者：
M. Bansal;I. Singh;B. K. Mishra;S. Bordas
我们提出了一个并行和计算效率高的多分裂XFEM方法的三维非均匀材料的分析。在这种方法中，多个不连续性（孔隙和增强颗粒）可以与任何给定的元素相交（我们称这些元素为多分裂元素）。通过在节点处施加额外的自由度来模拟这些不连续性。所提出的计划的主要优点是，网格大小保持独立的异质性/不连续性之间的相对距离。孔隙和增强颗粒被假定为球形。对均匀和非均匀非均质分布进行了模拟。对于不同量的孔和增强颗粒，评估非均质材料的杨氏模量。为了证明多分裂扩展有限元法的计算效率，弹性损伤分析进行单轴拉伸载荷下的5%的孔隙和5%的增强颗粒的单胞。这些模拟表明，杨氏模量随孔隙体积分数的增加而线性降低，随增强颗粒体积分数的增加而线性增加。多分裂XFEM被发现是至少1.8倍的计算效率比标准XFEM和至少6.7倍的计算效率比FEM。
We propose a parallel and computationally efficient multi-split XFEM approach for 3-D analysis of heterogeneous materials. In this approach, multiple discontinuities (pores and reinforcement particles) may intersect any given element (we call those elements multi-split elements). These discontinuities are modeled by imposing additional degrees of freedom at the nodes. The main advantage of the proposed scheme is that the mesh size remains independent of the relative distance among the heterogeneities/discontinuities. The pores and reinforcement particles are assumed to be spherical. The simulations are performed for uniform and non-uniform heterogeneity distribution. The Young’s modulus of the heterogeneous material is evaluated for different amount of pores and reinforcement particles. To demonstrate the computational efficiency of the multi-split XFEM, elastic damage analysis is performed for the unit cell with 5% pores and 5% reinforcement particles under uniaxial tensile loading. These simulations show that the Young’s modulus decreases linearly with the increase in the volume fraction of the pores and increases linearly with the increase in volume fraction of reinforcement particles. The multi-split XFEM is found to be at least 1.8 times computationally efficient than standard XFEM and at least 6.7 times computationally efficient than FEM.