Bifurcation of Rupturing Path by the Nonlinear Damping Force
-
摘要: 将Rayleigh波的线性阻尼机理拓展到非线性.对选定的模型寻求解析解.这些解析解描绘出破裂路径的不寻常分岔,还与反孤立子和孤立子的交点有关.Abstract: The linear damping mechanism of Rayleigh waves was extended for the nonlinearity.Conferring to the model,analytical method was chosen for the solutions.These solutions depict the unusual bifurcation of the rupturing path related to the intersection point of antisoliton and soliton.
-
Key words:
- bifurcation of rupturing path /
- antisoliton /
- soliton
-
[1] Ronald L B, Pamela R G, Willian T P. Rupture characteristics of normal faults: an example from the Wasatch fault zone, Utah[J]. Geological Society, London, Special Publications, 1987, 28: 337-353. doi: 10.1144/GSL.SP.1987.028.01.21 [2] 范家参,徐平. 有激发和衰减的有限长II型破裂过程研究[J]. 应用数学和力学,1982, 3(5): 689-706.(FAN Jia-shen, XU Ping. Analytic solutions for a finite crack rupturing with type II at one tip with exciting and decaying processes[J]. Applied Mathematics and Mechanics (English Edition), 1982, 3(5): 749-764.) [3] 范家参. 包括激发和衰减的粘弹性II型破裂过程的研究[J]. 应用数学和力学,1986, 7(8): 759-767. (FAN Jia-shen. Research of visco-elastic type II rupture with exciting and attenuation process[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(8): 815-823.) [4] Fan J S, Fan L. Asymptotic solutions for mode II dynamic rupture with nonlinear damping[J]. Applied Mathematical Modelling, 2000, 24(5/6): 407-418. doi: 10.1016/S0307-904X(99)00051-7 [5] Debnath L. Nonlinear Partial Differential Equations for Engineers and Scientists[M]. New York: Springer Science, 2005: 572-598.
计量
- 文章访问数: 1547
- HTML全文浏览量: 135
- PDF下载量: 238
- 被引次数: 0