The scaled boundary finite-element method - Alias consistent infinitesimal finite-element cell method - For elastodynamics
The scaled boundary finite-element method - Alias consistent infinitesimal finite-element cell method - For elastodynamics
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DOI：
10.1016/s0045-7825(97)00021-2
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发表时间：
1997-08-05
影响因子：
7.2
通讯作者：
Wolf, JP
中科院分区：
文献类型：
--
作者：
Song, C;Wolf, JP
缩放的边界有限元法，别名一致的无限元元素细胞法是从线性弹性动力学的管理方程式开始开发的。只有介质的边界被离散，而表面有限元元素将空间尺寸降低一个。无需基本解决方案，因此不得评估单数积分。一般各向异性材料将在没有任何计算工作的情况下进行分析。自由和固定表面以及不同材料之间的界面上的边界条件被精确执行，而无需任何离散化。该方法朝着径向方向精确，并以有限元的意义在圆周方向收敛到精确溶液。对于边界结果上的自由度，对于有界的培养基对称静态 - 静态和质量矩阵，没有任何其他假设。应力奇异性非常准确地表示，因为在没有空间离散化的情况下满足了奇异点附近边界的条件。
The scaled boundary finite-element method, alias the consistent infinitesimal finite-element cell method, is developed starting from the governing equations of linear elastodynamics. Only the boundary of the medium is discretized with surface finite elements yielding a reduction of the spatial dimension by one. No fundamental solution is necessary, and thus no singular integrals must be evaluated. General anisotropic material is analysed without any increase in computational effort. Boundary conditions on free and fixed surfaces and on interfaces between different materials are enforced exactly without any discretization. This method is exact in the radial direction and converges to the exact solution in the finite-element sense in the circumferential directions. For a bounded medium symmetric static-stiffness and mass matrices with respect to the degrees of freedom on the boundary result without any additional assumption. A stress singularity is represented very accurately, as the condition on the boundary in the vicinity of the point of singularity is satisfied without spatial discretization.