Effective loading algorithm associated with explicit dynamic relaxation method for simulating static problems |
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Authors: | Chong-bin Zhao Sheng-lin Peng Liang-ming Liu B E Hobbs and A Ord |
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Affiliation: | (1) Computational Geosciences Research Centre, Central South University, Changsha, 410083, China;(2) CSIRO Division of Exploration and Mining, P. O. Box 1130, Bentley, WA, 6102, Australia |
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Abstract: | Based on the fact that a static problem has an equivalent wave speed of infinity and a dynamic problem has a wave speed of
finite value, an effective loading algorithm associated with the explicit dynamic relaxation method was presented to produce
meaningful numerical solutions for static problems. The central part of the explicit dynamic relaxation method is to turn
a time-independent static problem into an artificial time-dependent dynamic problem. The related numerical testing results
demonstrate that: (1) the proposed effective loading algorithm is capable of enabling an applied load in a static problem
to be propagated throughout the whole system within a given loading increment, so that the time-independent solution of the
static problem can be obtained; (2) the proposed effective loading algorithm can be straightforwardly applied to the particle
simulation method for solving a wide range of static problems.
Foundation item: Projects(10872219; 10672190) supported by the National Natural Science Foundation of China |
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Keywords: | numerical simulation static systems dynamic relaxation loading algorithm |
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