Simulation and interpretation of diffuse mode bifurcation of elastoplastic solids |
| |
Authors: | Kiyohiro Ikeda Yuki Yamakawa |
| |
Affiliation: | a Department of Civil Engineering, Tohoku University, Sendai 980-8579, Japan b Department of Civil and Environmental Engineering, Nagaoka University of Technology, Nagaoka 940-2188, Japan |
| |
Abstract: | The diffuse mode bifurcation of elastoplastic solids at finite strain is investigated. The multiplicative decomposition of deformation gradient and the hyperelasto-plastic constitutive relationship are adapted to the numerical bifurcation analysis of the elastoplastic solids. First, bifurcation analyses of rectangular plane strain specimens subjected to uniaxial compression are conducted. The onset of the diffuse mode bifurcations from a homogeneous state is detected; moreover, the post-bifurcation states for these modes are traced to arrive at localization to narrow band zones, which look like shear bands. The occurrence of diffuse mode bifurcation, followed by localization, is advanced as a possible mechanism to create complex deformation and localization patterns, such as shear bands. These computational diffuse modes and localization zones are shown to be in good agreement with the associated experimental ones observed for sand specimens to ensure the validity of this mechanism. Next, the degradation of horizontal sway stiffness of a rectangular specimen due to plane strain uniaxial compression is pointed out as a cause of the bifurcation of the first antisymmetric diffuse mode, which triggers the tilting of the specimen. Last, circular and punching failures of a footing on a foundation are simulated. |
| |
Keywords: | B. Elastic-plastic material B. Finite strain C. Finite elements C. Stability and bifurcation |
本文献已被 ScienceDirect 等数据库收录! |
|