Computation and asymptotic analysis in the impact problem |
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| Authors: | Lei Hou Lin Qiu |
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| Institution: | (1) Department of Mathematics, Shanghai University, Shanghai, 200444, China;(2) Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China;(3) Division of Computational Science E-Institute of Shanghai Universities at SJTU, Shanghai, 200240, China |
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| Abstract: | Non-linear numerical method is applied to solve the viscous-elastic-plastic material impact problem. The finite element simulation
agrees with the celebrated European crash safety analysis. The complex material stress distribution in the large deformation
has been obtained, when the impact happens. Also the posteriorestimate solver and asymptotic analysis have been used for the
sensitive pre-stage deformation before the impact happening. This part of simulation is very interesting for the passive safety
in automotive protection devices. It is an important part of the mathematical modelling.
Supported by the National Natural Science Foundation of China (No. 10871225), Partly supported by EInstitutes of Shanghai
Municipal Education Commission, N.E03004; Partly supported by Shanghai Pu Jiang Telent project 2006]118. |
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| Keywords: | Elastic-plastics impact asymptotics singular perturbation adaptive FEA perturbation parameters |
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