Elasto-limited plastic analysis of structures for probabilistic conditions

2018 International Conference on Material Strength and Applied Mechanics

材料科学;力学

Rad, M Movahedi^1

Department of Structural and Geotechnical Engineering, Széchenyi István University, Egyetem Tér1, Gyr

H-9026, Hungary^1

关键词: Complementary strain energy;    Critical stress;    Deterministic problems;    Nonlinear algorithms;    Plastic analysis;    Plastic limit loads;    Residual deformation;    Residual displacement;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/372/1/012032/pdf
DOI  :  10.1088/1757-899X/372/1/012032

来源: IOP

【 摘 要 】

With applying plastic analysis and design methods, significant saving in material can be obtained. However, as a result of this benefit excessive plastic deformations and large residual displacements might develop, which in turn might lead to unserviceability and collapse of the structure. In this study, for deterministic problem the residual deformation of structures is limited by considering a constraint on the complementary strain energy of the residual forces. For probabilistic problem the constraint for the complementary strain energy of the residual forces is given randomly and critical stresses updated during the iteration. Limit curves are presented for the plastic limit load factors. The results show that these constraints have significant effects on the load factors. The formulations of the deterministic and probabilistic problems lead to mathematical programming which are solved by the use of nonlinear algorithm.