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exact Graph Pattern matching:Applications,Progress and Prospects

Journal of Donghua University(English Edition) 2023年第2期40卷 216-224页

作者：孙国豪余水方秀陆金虎 School of Computer Science and Technology Donghua UniversityShanghai 201620China

Graph pattern matching(GPM)can be used to mine the key information in *** GPM is one of the most commonly used methods among all the GPM-related methods,which aims to exactly find all subgraphs for a given query graph in a data *** exact GPM has been widely used in biological data analyses,social network analyses and other *** this paper,the applications of the exact GPM were first introduced,and the research progress of the exact GPM was ***,the related algorithms were introduced in detail,and the experiments on the state-of-the-art exact GPM algorithms were conducted to compare their *** on the experimental results,the applicable scenarios of the algorithms were pointed *** research opportunities in this area were proposed.

关键词： graph pattern matching(GPM) exact matching subgraph isomorphism graph embedding subgraph matching

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OBTAINING MULTI-AXIAL ELASTIC POTENTIALS FOR RUBBER-LIKE MATERIALS VIA AN EXPLICIT,exact APPROACH BASED ON SPLINE INTERPOLATION

引用

Acta Mechanica Solida Sinica 2014年第5期27卷 441-453页

作者： Hao Li Yuyu Zhang Xiaoming Wang Zhengnan Yin Heng Xiao Shanghai Institute of Applied Mathematics and Mechanics & Mechanics and Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai University

An explicit, exact approach is proposed to obtain multi-axial elastic potentials for isotropic rubber-like materials undergoing large incompressible deformations. By means of two direct, explicit procedures, this approach reduces the problem of determining multi-axial poten- tials to that of determining one-dimensional elastic potentials. To this end, two one-dimensional potentials for uniaxial case and simple shear case are respectively determined via spline inter- polation and, then, the two potentials are extended to generate a multi-axial elastic potential using a novel method based on certain logarithmic invariants. Eventually, each of the multi-axial potentials will exactly match the finite strain data from four benchmark tests.

关键词： elastomers elastic potentials logarithmic strain invariants benchmark tests splineinterpolation exact matching

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