NARANMANDULA. A Concurrent Microstructured Model for Complex Solids and Existence of Solitary Waves[J]. Applied Mathematics and Mechanics, 2018, 39(1): 41-49. doi: 10.21656/1000-0887.380074
Citation: NARANMANDULA. A Concurrent Microstructured Model for Complex Solids and Existence of Solitary Waves[J]. Applied Mathematics and Mechanics, 2018, 39(1): 41-49. doi: 10.21656/1000-0887.380074

A Concurrent Microstructured Model for Complex Solids and Existence of Solitary Waves

doi: 10.21656/1000-0887.380074
Funds:  The National Natural Science Foundation of China(11462019)
  • Received Date: 2017-03-31
  • Rev Recd Date: 2017-05-21
  • Publish Date: 2018-01-15
  • A concurrent microstructured nonlinear model involving 2 kinds of microscale nonlinear effects was established to describe the motion of complex solids with 2 microstructures of different properties. The existence of asymmetric solitary waves was proved according to the qualitative analysis theory and the bifurcation theory for dynamic systems under certain conditions in concurrent microstructured solids, and the existence conditions for the asymmetric solitary waves were given. The results indicate that the symmetry properties of solitary waves were influenced by the 2 kinds of microscale nonlinear effects simultaneously. The asymmetric properties of solitary waves are more obvious when the microscale nonlinear effects become stronger. Finally, the results of qualitative analysis were validated further through numerical simulation.
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