Analysing staged features of complete stress-strain curves divided by dichotomy of sandstone qualitatively with Lyapunov theory

作者：Liu Chuan Xiao^*; Liu Fu Sheng; Jiang Jin Quan; Dai Jing Jun

来源：Yantu Lixue/rock and Soil Mechanics, 2008, 29(7): 1884-1888.

• Chaotic dynamics
• Chaotic states
• Complicated systems
• Dichotomy
• Initial stresses
• Joint system
• Lyapunov
• Lyapunov theories
• Macro-state
• Qualitatively
• Stress-strain curve
• System states
• Ultimate strength

Dichotomy for stress-strain curves of sandstone is proposed to study staged features qualitatively with Lyapunov theory of chaotic dynamics. As former parts of all stress-strain curves of jointed sandstones are in chaotic state, the complicated system evolves only in nonlinear state. After ultimate limit, eighty-five percent of joint systems are in orderly state, which states that transfixed jointed sandstone has destroyed in macro state. Term of joints' transfixion may be longer as the minimum initial stress increases. Then destructive state of sandstone after ultimate strength may be stepped decrease. If strain after ultimate strength is two-third of the complete strain, system state in the stage may dominate whole evolving state of joint system.

• 出版日期2008
• 单位山东科技大学