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State-Space Formulation for Structural Analysis with Coupled Degradation-Plasticity and Geometric Nonlinearity
| 题名： | State-Space Formulation for Structural Analysis with Coupled Degradation-Plasticity and Geometric Nonlinearity |
| 正文语种： | eng |
| 作者： | Amir, M.;Papakonstantinou, K. G.;Warn, G. P. |
| 作者单位： | Penn State Univ Dept Civil & Environm Engn University Pk PA 16802 USA;Penn State Univ Dept Civil & Environm Engn University Pk PA 16802 USA;Penn State Univ Dept Civil & Environm Engn University Pk PA 16802 USA |
| 摘要： | A nonlinear beam finite-element model is developed to account for distributed plasticity, complex degradation phenomena, axial- moment-shear interactions, and geometric nonlinearity. The formulation is derived based on consistently coupled degradation-plasticity multiaxial hysteretic laws. The strength degradations corresponding to axial, shear, and flexural capacities are treated as scalar damage functions, and the multiaxial hysteretic model is presented in the effective stress domain to satisfy the consistency criterion of the evolving yield/capacity surface. Geometric nonlinearity is incorporated through an element-level P-Delta formulation, by accounting for second-order transverse displacement effects in the beam kinematics. Constant element matrices, including elastic stiffness, geometric stiffness, and hysteretic matrices, are derived from the principle of virtual work and do not require updating throughout the analysis. Material inelasticity and degradations evolve through element-level ordinary differential equations (ODEs) based on the multiaxial hysteretic laws and are solved simultaneously with the governing equations of motion of the system. Overall, the entire system-level formulation is presented in state-space form and can be straightforwardly solved using any general first-order ODE solver without requiring gradient evaluations. Model consistency, validity, and versatility are demonstrated through several numerical illustrations and experimental verifications. (C) 2022 American Society of Civil Engineers. |
| 出版年： | 2022 |
| 期刊名称： | Journal of structural engineering |
| 卷： | 148 |
| 期： | 4 |
| 页码： | 04022016.1-04022016.21 |
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