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Distributed computing for the nonlinear analysis of multiphase composites

机译:分布式计算的多相复合材料非线性分析

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摘要

Modern digital material approaches for the simulation and visualization of heterogeneous materials allow to investigate the behavior of complex multiphase materials with their physical nonlinear material response at various scales. However, these computational techniques require extensive hardware resources with respect to computing power and main memory to solve numerically large-scale discret-ized models in 3D. Due to a very high number of degrees of freedom, which may rapidly be increased to several 10 million degrees of freedom, the limited hardware resources are to be utilized in a most efficient way to enable an execution of the numerical algorithms in minimal computation time. The computational efficiency and the distribution among available hardware resources (often based on a parallel hardware architecture) can significantly be improved. In the past years, high-performance computing (HPC) based computation techniques were established for the investigation of scientific objectives. Their application results in the modification of existing and the development of new computational methods for the numerical implementation, which enables to take advantage of massively clustered computer hardware resources. Due to the high numerical effort for such simulations, an alternative approach for the nonlinear finite element analysis, based on the sequential linear analysis, was implemented in respect to scalable HPC. The incremental-iterative procedure in finite element analysis (FEA) during the nonlinear step was then replaced by a sequence of linear FE analysis, known in literature as saw-tooth approach. As a result, qualitative (smeared) crack initiation in 3D multiphase specimens has efficiently been simulated.
机译:用于异构材料模拟和可视化的现代数字材料方法允许研究复杂多相材料的行为及其在各种尺度下的物理非线性材料响应。但是,这些计算技术在计算能力和主存储器方面需要大量的硬件资源,以解决3D中数字化大规模离散化模型的问题。由于非常高的自由度,可以很快将其增加到几千万个自由度,因此将以最有效的方式利用有限的硬件资源,以在最短的计算时间内执行数值算法。可以显着提高计算效率和可用硬件资源之间的分配(通常基于并行硬件体系结构)。在过去的几年中,建立了基于高性能计算(HPC)的计算技术以研究科学目标。它们的应用导致对现有数值的修改,并为数值实现开发了新的计算方法,从而可以利用大规模群集的计算机硬件资源。由于此类仿真需要大量的数值工作,因此针对可扩展HPC,采用了基于顺序线性分析的非线性有限元分析的替代方法。然后,将非线性步骤中有限元分析(FEA)中的增量迭代过程替换为一系列线性FE分析,这在文献中称为锯齿法。结果,有效地模拟了3D多相试样中的定性(涂抹)裂纹萌生。

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