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Time discontinuous Galerkin finite element method for dynamic analyses in saturated poro-elasto-plastic medium 总被引:1,自引:0,他引:1
A time-discontinuous Galerkin finite element method for dynamic analyses in saturated poro-elasto-plastic medium is proposed.
As compared with the existing discontinuous Galerkin finite element methods, the distinct feature of the proposed method is
that the continuity of the displacement vector at each discrete time instant is automatically ensured, whereas the discontinuity
of the velocity vector at the discrete time levels still remains. The computational cost is then obviously reduced, particularly,
for material non-linear problems. Both the implicit and explicit algorithms to solve the derived formulations for material
non-linear problems are developed. Numerical results show a good performance of the present method in eliminating spurious
numerical oscillations and providing with much more accurate solutions over the traditional Galerkin finite element method
using the Newmark algorithm in the time domain.
The project supported by the National Natural Science Foundation of China (19832010, 50278012, 10272027) and the National
Key Basic Research and Development Program (973 Program, 2002CB412709) 相似文献
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对结构动力学和波传播问题提出了一个时域间断的Galerkin有限元法.其主要特点是对问题的半离散场方程的节点基本未知向量及其时间导数向量在时间域中分别采用三次多项式和线性(P3-P1)插值,节点基本未知(位移)向量在离散的时间段之间将自动保证连续,而仅仅是它的时间导数(速度)向量存在间断.在非线性条件下,与现有的间断Galerkin有限元法相比,明显地节省了计算工作量.对所提出的间断Galerkin有限元法发展了弹塑性非线性问题的隐式和显式算法.数值计算结果表明了所提出方法的有效性,以及相对基于连续Galerkin有限元法的Newmark算法的计算结果的优越性. 相似文献
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